partitioning and positioning (to solve minlp problems) industrial modeling framework (prps-imf)

Partitioning and Positioning (to Solve MINLP Problems) Industrial Modeling Framework (PrPs-IMF)

i n d u s t r IAL g o r i t h m s LLC. (IAL)

www.industrialgorithms.com July 2014

Introduction to Partitioning, Positioning, UOPSS and QLQP Presented in this short document is a description of what we call "Partitioning" and "Positioning". Partitioning is the notion of decomposing the problem into smaller sub-problems along its “hierarchical” (Kelly and Zyngier, 2008), “structural” (Kelly and Mann, 2004), “operational” (Kelly, 2006), “temporal” (Kelly, 2002) and now “phenomenological” (Kelly, 2003, Kelly and Mann, 2003, Kelly and Zyngier, 2014 and Menezes, 2014) dimensions. Positioning is the ability to configure the lower and upper hard bounds and target soft bounds for any time-period over the future time-horizon within the problem or sub-problem and is especially useful to fix variables (i.e., its lower and upper bounds are set equal) which will ultimately remove or exclude these variables from the solver’s model or matrix. In this text we focus primarily on what is called the phenomenological decomposition heuristic (PDH) described in Menezes et. al. (2015b) and we detail a small but representative MINLP problem found in Menezes (2014). It is related to strategic decision-making known as the “generalized” capital investment planning (GCIP) problem found in Menezes et. al. (2015a). Figure 1 below highlights the partitioning along the phenomenological dimension of the MINLP into two sub-problems we call the “quality” and “logistics” sub-problems which is a rational break-down of the quantity, logic and quality phenomena (QLQP) or “qualogistics” and allows us to iteratively and sequentially solve industrial-sized, -scaled and -scoped MINLP problems found in the process industries using what we consider to be a natural and intuitive decomposition heuristic, strategy or algorithm.

Figure 1. Partitioning and Positioning “Conjunction” Variables.

The variables that connect, coordinate, match or link, etc. one sub-problem to another are called the “conjunction” variables. Semantically we have chosen our conjunction variables to be intensive (do not scale with size) and primarily “yields” and “setups/startups” although any QLQP variable can be a candidate such as flows, holdups, switchovers, shutdowns, properties and conditions. The solving procedure is relatively simple and first starts with a single or mono-period quality sub-problem (NLP) (partitioning) to generate starting or initial yields then to use these yields as input (positioning) to the multi-period logistics sub-problem (MILP). Once an acceptably good MILP solution is found then the solution values for the setup binary variables can be used to solve a multi-period quality sub-problem and the solution process repeats between the two multi-period sub-problems until a reasonable convergence between the sub-problem objective functions is found. Similar to the depth-first with backtracking search found in

Kelly (2002), this same technique can also be employed here whereby each sub-problem, due to its inherent non-convexity, will mostly likely exhibit multiple local solutions per sub-problem solve. By retaining then recovering these solutions using unformatted binary files for example and applying a systematic search mechanism similar to branch-and-bound, multiple solution paths can be circumscribed where the goal is to find the best overall or combined solution with the highest profit, best performance and/or least amount of penalties i.e., the combination of both MILP and NLP sub-problem solutions making up the MINLP problem. To more effectively articulate the partitioning and positioning concepts, Figure 2 shows the unit-operation-port-state superstructure (UOPSS) or flowsheet for the previously mentioned MINLP GCIP problem where the UOPSS shapes can be found in Kelly (2004), Kelly (2005), Zyngier and Kelly (2009) and Zyngier and Kelly (2012).

Figure 2. Partitioning and Positioning GCIP Example UOPSS Flowsheet.

This problem is formulated whereby both the capacity and capital cost for the expansion and installation of the Diesel Hydro-Treating units (DHT1 and DHT2 respectively) are modeled as “flows”. Diamond shapes are perimeters which indicate where material or even money and other necessary resources can flow into or out of the problem. We have a supply of D1000 which has a diesel sulfur content or concentration in weight percent of 0.1000 (1000 wppm), a demand of D50 (0.0050 wt%) and D15 (0.0015 wt%) and a production of wild naphtha (WN) which is a by-product of the desulfurization process. There is no explicit consumption of hydrogen shown given that it is not perceived as a bottleneck or active constraint. The square shapes with an “x” through them are continuous-processes and the triangle shapes are pools or inventory/storage unit-operations. The circles are ports where an “x” inside is an out-port and without an “x” is in-port and the lines connected to ports and units are what we call “internal streams”. Lines with arrow-heads connecting out-ports to in-ports are called “external streams” and these along with the unit-operations have setup and startup logic variables created as well as switchovers and shutdown logic variables if up-times and/or down-times are configured to manage the temporal transitions (Kelly and Zyngier, 2007 and Zyngier and Kelly, 2009). The scope of this problem is to decide if the existing unit DHT1 should be expanded via the commission-stage operation or not and to decide if the non-existing unit DHT2 should be installed via the construction-stage operation or not. If so then there is a capital cost during the commission and construction-stages for the capacity expansion and installation using a variable and fixed cost linear expression of:

capital cost = alpha * (capacity_new – capacity_old) + beta * setup where if an installation, the old capacity is of course 0 (zero). A more detailed description of this problem can be found in GCIP-SDSU-IMF.docx (IAL, June, 2014). There is a severity condition that provides the degree of hydro-desulfurization which manipulates or controls the yields and sulfur concentrations on out-ports “o” and “o2” for both DHT1 and DHT2 as the following formulas:

yield,o = 1.0 - (severity - 0.90) / 2.0 yield,o2 = (severity - 0.90) / 2.0

and sulfur,o = (1.0 – severity) * sulfur,i where sulfur,i is the sulfur content on the in-ports to the hydro-treaters. The density SG is required to perform the mass-basis sulfur balances. There is no cost applied to the supply of diesel nor is there a price for wild naphtha. However, the D50 product has a price of 1.0 and the price for D15 is 1.2 which implies that it is more economical to produce a lower sulfur diesel material especially when there is no raw material or operating costs currently modeled. As mentioned, this problem is a MINLP problem given that all flows are variable as well as the specific-gravities and sulfur concentrations including the severity times sulfur thus resulting in bi-linear and tri-linear terms with plus and minus coefficients making the NLP quality sub-problem non-convex. Due to the setup logic variables for the expansion and/or installation logic decisions we have the integer or discrete (binary) variables resulting in the MINLP and more appropriately a non-convex MINLP problem. Industrial Modeling Framework (IMF), IMPL and SIIMPLE

To implement the mathematical formulation of this and other systems, IAL offers a unique approach and is incorporated into our Industrial Modeling Programming Language we call IMPL. IMPL has its own modeling language called IML (short for Industrial Modeling Language) which is a flat or text-file interface as well as a set of API's which can be called from any computer programming language such as C, C++, Fortran, C#, VBA, Java (SWIG), Python (CTYPES) and/or Julia (CCALL) called IPL (short for Industrial Programming Language) to both build the model and to view the solution. Models can be a mix of linear, mixed-integer and nonlinear variables and constraints and are solved using a combination of LP, QP, MILP and NLP solvers such as COINMP, GLPK, LPSOLVE, SCIP, CPLEX, GUROBI, LINDO, XPRESS, CONOPT, IPOPT, KNITRO and WORHP as well as our own implementation of SLP called SLPQPE (Successive Linear & Quadratic Programming Engine) which is a very competitive alternative to the other nonlinear solvers and embeds all available LP and QP solvers. In addition and specific to DRR problems, we also have a special solver called SECQPE standing for Sequential Equality-Constrained QP Engine which computes the least-squares solution and a post-solver called SORVE standing for Supplemental Observability, Redundancy and Variability Estimator to estimate the usual DRR statistics. SECQPE also includes a Levenberg-Marquardt regularization method for nonlinear data regression problems and can be presolved using SLPQPE i.e., SLPQPE warm-starts SECQPE. SORVE is run after the SECQPE solver and also computes the well-known "maximum-power" gross-error statistics (measurement and nodal/constraint tests) to help locate outliers, defects and/or faults i.e., mal-functions in the measurement system and mis-specifications in the logging system. The underlying system architecture of IMPL is called SIIMPLE (we hope literally) which is short for Server, Interfacer (IML), Interacter (IPL), Modeler, Presolver Libraries and Executable. The Server, Presolver and Executable are primarily model or problem-independent whereas the Interfacer, Interacter and Modeler are typically domain-specific i.e., model or problem-dependent. Fortunately, for most industrial planning, scheduling, optimization, control and monitoring problems found in the process industries, IMPL's standard Interfacer, Interacter and Modeler are well-suited and comprehensive to model the most difficult of production and process complexities allowing for the formulations of straightforward coefficient equations, ubiquitous conservation laws, rigorous constitutive relations, empirical correlative expressions and other necessary side constraints. User, custom, adhoc or external constraints can be augmented or appended to IMPL when necessary in several ways. For MILP or logistics problems we offer user-defined constraints configurable from the IML file or the IPL code where the variables and constraints are referenced using unit-operation-port-state names and the quantity-logic variable types. It is also possible to import a foreign *.ILP file (row-based MPS file) which can be generated by any algebraic modeling language or matrix generator. This file is read just prior to generating the matrix and before exporting to the LP, QP or MILP solver. For NLP or quality problems we offer user-defined formula configuration in the IML file and single-value and multi-value function blocks writable in C, C++ or Fortran. The nonlinear formulas may include intrinsic functions such as EXP, LN, LOG, SIN, COS, TAN, MIN, MAX, IF, NOT, EQ, NE, LE, LT, GE, GT and CIP, LIP, SIP and KIP (constant, linear and monotonic spline interpolations) as well as user-written extrinsic functions (XFCN). It is also possible to import another type of foreign file called the *.INL file where both linear and nonlinear constraints can be added easily using new or existing IMPL variables. Industrial modeling frameworks or IMF's are intended to provide a jump-start to an industrial project implementation i.e., a pre-project if you will, whereby pre-configured IML files and/or IPL

code are available specific to your problem at hand. The IML files and/or IPL code can be easily enhanced, extended, customized, modified, etc. to meet the diverse needs of your project and as it evolves over time and use. IMF's also provide graphical user interface prototypes for drawing the flowsheet as in Figure 1 and typical Gantt charts and trend plots to view the solution of quantity, logic and quality time-profiles. Current developments use Python 2.3 and 2.7 integrated with open-source Dia and Matplotlib modules respectively but other prototypes embedded within Microsoft Excel/VBA for example can be created in a straightforward manner. However, the primary purpose of the IMF's is to provide a timely, cost-effective, manageable and maintainable deployment of IMPL to formulate and optimize complex industrial manufacturing systems in either off-line or on-line environments. Using IMPL alone would be somewhat similar (but not as bad) to learning the syntax and semantics of an AML as well as having to code all of the necessary mathematical representations of the problem including the details of digitizing your data into time-points and periods, demarcating past, present and future time-horizons, defining sets, index-sets, compound-sets to traverse the network or topology, calculating independent and dependent parameters to be used as coefficients and bounds and finally creating all of the necessary variables and constraints to model the complex details of logistics and quality industrial optimization problems. Instead, IMF's and IMPL provide, in our opinion, a more elegant and structured approach to industrial modeling and solving so that you can capture the benefits of advanced decision-making faster, better and cheaper. Partitioning and Positioning Synopsis At this point we explore further the purpose and procedure of partitioning and positioning in terms of its usefulness in advanced planning and scheduling applications. Appendix A records the UOPSS superstructure or flowsheet shapes for the GCIP example problem in the UPS file. Appendices B, C and D contain the IML configurations for the starting “NLPT1” using only one time-period, the “MILPT3” three-period logistics sub-problem and the “NLPT3” three-period quality sub-problem respectively. There is a another file called the OML (Output Model Language) file which is used to tell IMPL which UOPSS, QLQP variables and in which time-periods they are to be outputted. This is useful to allow ad hoc export of any variable’s address, index or pointer using the (UOPSS, QLQP, T) (place, property, period) coordinates. The QLQP attributes are specified using the keywords: FL (flow), HU (holdup), YD (yield), SP (setup), SU (startup), SV (switchover-to-itself), DN (density), CM (component), PR (property), CN (condition) and CO (coefficient). A user “tag” string is also provided to identify, reference, name or label the variable’s solution value in the specified output file (usually a data CSV flat-file) and this can be used as a “calc” or calculation name in IML (notice the “&sCalc,@rValue” header and footer in the OML files). We use the output data CSV files as input from one sub-problem solution to the next sub-problem and this provides the positioning or coordination between the partitions or sub-problems i.e., NLPT1.DAT (fixed/finite yields) -> MILPT3.IML, MILPT3.DAT (fixed setups) -> NLPT3.IML and NLPT3.DAT (fixed/finite yields) -> MILPT3.IML. It should be noted that in the MILPT3.IML file, it inputs both the NLPT1.DAT and NLPT3.DAT in order to ensure that there is at least a non-zero default yield value given that if a unit-operation is not setup in a particulate time-period then it will have a yield of zero (0) given the semi-continuous found in our IMPL Modeler. If the yield found from NLPT3 is zero (0) then the default from NLPT1 is used instead. When we solve the NLPT1 (temporal relaxation) sub-problem using SLPQPE, with either COINMP, GLPK or LPSOLVE as the LP solvers, we get an objective function value of 0.975 currency-units given that we have only allowed the existing DHT1 and non-existing DHT2 unit-

operations to be active during the mono-period time-horizon in order to provide starting, initial or default yields to the MILPT3 i.e., no capital costs incurred. The 0.975 value corresponds to the fact that only flow from the DHT1,Existing,o out-port to the D50,i in-port is active in the amount of 0.975 flow-units. Upon solving the MIPLT3 using COINMP, GLPK or LPSOLVE we get an objective function value of 5.638 currency-units which corresponds to the profit of performing the DHT1 commission-stage in time-period 1 and DHT2 construction-stage also in time-period 1. This allows two (2) time-periods for expanded capacity for DHT1 and also two (2) time-periods for newly installed and extended capacity and capability for DHT2 i.e., the DHT2 unit can produce both D50 and D15 due to its extended conversion. The Gantt chart in Figure 3 displays the setup logic variables in black horizontal bars for all unit-operations.

Figure 3. Gantt Chart with 1-period and 3-period Past and Future Horizons for MILPT3.

Using the fixed setups from MILPT3.DAT for both the unit-operations and the unit-operation-port-state to unit-operation-port-state external streams, we get a profit of 5.647 currency-units from the NLPT3 sub-problem solution. Solving again the MILPT3 with the new fixed/finite yields from NLPT3.DAT we converge on an objective function value of 5.647. In summary, we have described how to use IMPL with IML and OML files to iteratively solve a qualogistics or MINLP “generalized” capital investment problem (GCIP) using MILP and NLP sub-solvers configured in a coordinated manner where a more automated integration can be performed using our IPL coded in a computer programming language. This same technique can be applied to any advanced planning and scheduling MINLP problem found in the process industries given our assertion that these types of problems can be structurally and operationally modeled using our UOPSS flowsheet, phenomenologically modeled using our QLQP attributes and temporally modeled using our discrete-time and distributed-time digitization where “conjunction” variables can be employed to concatenate the sub-problems. The major advantage of our “partitioning” and “positioning” approach is that each sub-problem can be independently and individually isolated and thoroughly investigated and interrogated to troubleshoot and debug inconsistencies and unexpected solutions when they exist. Existing MINLP and Global Optimizers (GO) are treated as black-boxes and if reliable and relevant

solutions are not obtained which is usually the case in practice, then little insight and analysis is afforded back to the development and/or deployment user. References

Kelly, J.D., “Chronological decomposition heuristic for scheduling: a divide and conquer method”, American Institute of Chemical Engineering Journal, 48, (2002). Kelly, J.D., “Next generation refinery scheduling technology”, NPRA Plant Automation and Decision Support, San Antonio, USA, September, (2003).

Kelly, J.D., Mann, J.L., “Crude-oil blend scheduling optimization: an application with multi-million dollar benefits”, Hydrocarbon Processing, June/July, (2003).

Kelly, J.D., Mann, J.L., “Flowsheet decomposition heuristic applied to scheduling: a relax and fix method”, Computers & Chemical Engineering, 28, (2004). Kelly, J.D., "Production modeling for multimodal operations", Chemical Engineering Progress, February, 44, (2004). Kelly, J.D., "The unit-operation-stock superstructure (UOSS) and the quantity-logic-quality paradigm (QLQP) for production scheduling in the process industries", In: MISTA 2005 Conference Proceedings, 327, (2005).

Kelly, J.D., “Stock decomposition heuristic for scheduling: a priority and dispatch rule approach”, Internal Technical Report, (2006). Kelly, J.D., Zyngier, D., "An improved MILP modeling of sequence-dependent switchovers for discrete-time scheduling problems", Industrial & Engineering Chemistry Research, 46, 4964, (2007).

Kelly, J.D., Zyngier, D., “Hierarchical decomposition heuristic for scheduling: coordinated reasoning for decentralized and distributed decision making problems”, Computers & Chemical Engineering, 32, (2008). Zyngier, D., Kelly, J.D., "Multi-product inventory logistics modeling in the process industries", In: W. Chaovalitwonse, K.C. Furman and P.M. Pardalos, Eds., Optimization and Logistics Challenges in the Enterprise", Springer, 61-95, (2009). Zyngier, D., Kelly, J.D., "UOPSS: a new paradigm for modeling production planning and scheduling systems", ESCAPE 22, June, (2012). Industrial Algorithms, LLC (IAL), “Generalized Capital Investment Planning w/ Sequence-Dependent Setups IMF (GCIP-SDSU-IMF.docx)”, June, (2014).

Kelly, J.D., and Zyngier, D., “Unit operation nonlinear modeling for planning and scheduling applications”, K.C. Furman et. al. (eds.), Optimization and Analytics in the Oil & Gas Industries, Springer Science, 2014 (accepted).

Menezes, B.C., “Quantitative methods for strategic investment planning in the oil-refining industry”, PhD Thesis, Federal University of Rio de Janeiro (UFRJ), August, (2014). Menezes, B.C., Kelly, J.D., Grossmann, I.E., Vazacopoulos, A., “Generalized capital investment planning of oil refinery units using MILP and sequence-dependent setups”, submitted to Computers & Chemical Engineering, (2015a). Menezes, B.C., Kelly, J.D., Grossmann, I.E., Moro, L.F.L., “Phenomenological decomposition heuristic for process design synthesis of oil-refinery units”, submitted to Computers & Chemical Engineering, (2015b). Appendix A - PartitioningPositioning-IMF.UPS File

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Copyright and Property of i n d u s t r I A L g o r i t h m s LLC.

checksum,184

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! Unit-Operation-Port-State-Superstructure (UOPSS) *.UPS File.

! (This file is automatically generated from the Python program IALConstructer.py)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

&sUnit,&sOperation,@sType,@sSubtype,@sUse

Capacity1,,pool,,

Capacity2,,pool,,

Capital,Cost,perimeter,,

Charge1,,processc,,

Charge2,,processc,,

D1000,,perimeter,,

D15,,perimeter,,

D50,,perimeter,,

DHT1,Commission,processc,,

DHT1,Existing,processc,,

DHT1,Expanded,processc,,

DHT2,Construction,processc,,

DHT2,Installed,processc,,

DHT2,NonExisting,processc,,

WN,,perimeter,,

&sUnit,&sOperation,@sType,@sSubtype,@sUse

! Number of UO shapes = 15

&sAlias,&sUnit,&sOperation

ALLPARTS,Capacity1,

ALLPARTS,Capacity2,

ALLPARTS,Capital,Cost

ALLPARTS,Charge1,

ALLPARTS,Charge2,

ALLPARTS,D1000,

ALLPARTS,D15,

ALLPARTS,D50,

ALLPARTS,DHT1,Commission

ALLPARTS,DHT1,Existing

ALLPARTS,DHT1,Expanded

ALLPARTS,DHT2,Construction

ALLPARTS,DHT2,Installed

ALLPARTS,DHT2,NonExisting

ALLPARTS,WN,

&sAlias,&sUnit,&sOperation

&sUnit,&sOperation,&sPort,&sState,@sType,@sSubtype

Capacity1,,i,,in,

Capacity1,,o,,out,

Capacity2,,i,,in,

Capacity2,,o,,out,

Capital,Cost,cpl,,in,

Charge1,,cpl,,out,

Charge1,,cpt,,out,

Charge1,,i,,in,

Charge2,,cpl,,out,

Charge2,,cpt,,out,

Charge2,,i,,in,

D1000,,o,,out,

D15,,i,,in,

D50,,i,,in,

DHT1,Commission,cpt,,out,

DHT1,Commission,i,,in,

DHT1,Commission,o,,out,

DHT1,Commission,o2,,out,

DHT1,Existing,i,,in,

DHT1,Existing,o,,out,

DHT1,Existing,o2,,out,

DHT1,Expanded,cpt,,in,

DHT1,Expanded,i,,in,

DHT1,Expanded,o,,out,

DHT1,Expanded,o2,,out,

DHT2,Construction,cpt,,out,

DHT2,Construction,i,,in,

DHT2,Construction,o,,out,

DHT2,Construction,o2,,out,

DHT2,Installed,cpt,,in,

DHT2,Installed,i,,in,

DHT2,Installed,o,,out,

DHT2,Installed,o2,,out,

DHT2,NonExisting,i,,in,

DHT2,NonExisting,o,,out,

DHT2,NonExisting,o2,,out,

WN,,i,,in,

&sUnit,&sOperation,&sPort,&sState,@sType,@sSubtype

! Number of UOPS shapes = 37

&sAlias,&sUnit,&sOperation,&sPort,&sState

ALLINPORTS,Capacity1,,i,

ALLINPORTS,Capacity2,,i,

ALLINPORTS,Capital,Cost,cpl,

ALLINPORTS,Charge1,,i,

ALLINPORTS,Charge2,,i,

ALLINPORTS,D15,,i,

ALLINPORTS,D50,,i,

ALLINPORTS,DHT1,Commission,i,

ALLINPORTS,DHT1,Existing,i,

ALLINPORTS,DHT1,Expanded,cpt,

ALLINPORTS,DHT1,Expanded,i,

ALLINPORTS,DHT2,Construction,i,

ALLINPORTS,DHT2,Installed,cpt,

ALLINPORTS,DHT2,Installed,i,

ALLINPORTS,DHT2,NonExisting,i,

ALLINPORTS,WN,,i,

ALLOUTPORTS,Capacity1,,o,

ALLOUTPORTS,Capacity2,,o,

ALLOUTPORTS,Charge1,,cpl,

ALLOUTPORTS,Charge1,,cpt,

ALLOUTPORTS,Charge2,,cpl,

ALLOUTPORTS,Charge2,,cpt,

ALLOUTPORTS,D1000,,o,

ALLOUTPORTS,DHT1,Commission,cpt,

ALLOUTPORTS,DHT1,Commission,o,

ALLOUTPORTS,DHT1,Commission,o2,

ALLOUTPORTS,DHT1,Existing,o,

ALLOUTPORTS,DHT1,Existing,o2,

ALLOUTPORTS,DHT1,Expanded,o,

ALLOUTPORTS,DHT1,Expanded,o2,

ALLOUTPORTS,DHT2,Construction,cpt,

ALLOUTPORTS,DHT2,Construction,o,

ALLOUTPORTS,DHT2,Construction,o2,

ALLOUTPORTS,DHT2,Installed,o,

ALLOUTPORTS,DHT2,Installed,o2,

ALLOUTPORTS,DHT2,NonExisting,o,

ALLOUTPORTS,DHT2,NonExisting,o2,

&sAlias,&sUnit,&sOperation,&sPort,&sState

&sUnit,&sOperation,&sPort,&sState,&sUnit,&sOperation,&sPort,&sState

Capacity1,,o,,DHT1,Expanded,cpt,

Capacity2,,o,,DHT2,Installed,cpt,

Charge1,,cpl,,Capital,Cost,cpl,

Charge1,,cpt,,Capacity1,,i,



D1000,,o,,DHT1,Commission,i,

D1000,,o,,DHT1,Existing,i,

D1000,,o,,DHT1,Expanded,i,

D1000,,o,,DHT2,Construction,i,

D1000,,o,,DHT2,Installed,i,

D1000,,o,,DHT2,NonExisting,i,

DHT1,Commission,cpt,,Charge1,,i,

DHT1,Commission,o,,D50,,i,

DHT1,Commission,o2,,WN,,i,

DHT1,Existing,o,,D50,,i,

DHT1,Existing,o2,,WN,,i,

DHT1,Expanded,o,,D50,,i,

DHT1,Expanded,o2,,WN,,i,

DHT2,Construction,cpt,,Charge2,,i,

DHT2,Construction,o,,D15,,i,


DHT2,Construction,o2,,WN,,i,

DHT2,Installed,o,,D15,,i,


DHT2,Installed,o2,,WN,,i,

DHT2,NonExisting,o,,D15,,i,


DHT2,NonExisting,o2,,WN,,i,

&sUnit,&sOperation,&sPort,&sState,&sUnit,&sOperation,&sPort,&sState

! Number of UOPSPSUO shapes = 29

!&sUnit,&sOperation,&sPort,&sState,&sUnit,&sOperation,&sPort,&sState





DHT1,Commission,cpt,,Charge1,,i,

DHT2,Construction,cpt,,Charge2,,i,




DHT1,Commission,o,,D50,,i,

DHT1,Existing,o,,D50,,i,

DHT1,Expanded,o,,D50,,i,




D1000,,o,,DHT1,Commission,i,

D1000,,o,,DHT1,Existing,i,

Capacity1,,o,,DHT1,Expanded,cpt,

D1000,,o,,DHT1,Expanded,i,

D1000,,o,,DHT2,Construction,i,

Capacity2,,o,,DHT2,Installed,cpt,

D1000,,o,,DHT2,Installed,i,

D1000,,o,,DHT2,NonExisting,i,

DHT1,Commission,o2,,WN,,i,

DHT1,Existing,o2,,WN,,i,

DHT1,Expanded,o2,,WN,,i,

DHT2,Construction,o2,,WN,,i,

DHT2,Installed,o2,,WN,,i,

DHT2,NonExisting,o2,,WN,,i,

!&sUnit,&sOperation,&sPort,&sState,&sUnit,&sOperation,&sPort,&sState

&sAlias,&sUnit,&sOperation,&sPort,&sState,&sUnit,&sOperation,&sPort,&sState

ALLPATHS,Charge1,,cpt,,Capacity1,,i,

ALLPATHS,Charge2,,cpt,,Capacity2,,i,

ALLPATHS,Charge1,,cpl,,Capital,Cost,cpl,

ALLPATHS,Charge2,,cpl,,Capital,Cost,cpl,

ALLPATHS,DHT1,Commission,cpt,,Charge1,,i,

ALLPATHS,DHT2,Construction,cpt,,Charge2,,i,

ALLPATHS,DHT2,Construction,o,,D15,,i,

ALLPATHS,DHT2,Installed,o,,D15,,i,

ALLPATHS,DHT2,NonExisting,o,,D15,,i,

ALLPATHS,DHT1,Commission,o,,D50,,i,

ALLPATHS,DHT1,Existing,o,,D50,,i,

ALLPATHS,DHT1,Expanded,o,,D50,,i,

ALLPATHS,DHT2,Construction,o,,D50,,i,

ALLPATHS,DHT2,Installed,o,,D50,,i,

ALLPATHS,DHT2,NonExisting,o,,D50,,i,

ALLPATHS,D1000,,o,,DHT1,Commission,i,

ALLPATHS,D1000,,o,,DHT1,Existing,i,

ALLPATHS,Capacity1,,o,,DHT1,Expanded,cpt,

ALLPATHS,D1000,,o,,DHT1,Expanded,i,

ALLPATHS,D1000,,o,,DHT2,Construction,i,

ALLPATHS,Capacity2,,o,,DHT2,Installed,cpt,

ALLPATHS,D1000,,o,,DHT2,Installed,i,

ALLPATHS,D1000,,o,,DHT2,NonExisting,i,

ALLPATHS,DHT1,Commission,o2,,WN,,i,

ALLPATHS,DHT1,Existing,o2,,WN,,i,

ALLPATHS,DHT1,Expanded,o2,,WN,,i,

ALLPATHS,DHT2,Construction,o2,,WN,,i,

ALLPATHS,DHT2,Installed,o2,,WN,,i,

ALLPATHS,DHT2,NonExisting,o2,,WN,,i,

&sAlias,&sUnit,&sOperation,&sPort,&sState,&sUnit,&sOperation,&sPort,&sState

Appendix B - PartitioningPositioning-IMF-NLPT1.IML and OML Files

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! Calculation Data (Parameters)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

&sCalc,@sValue

START,-1.0

BEGIN,0.0

END,1.0

PERIOD,1.0

SMALL,0.001

LARGE,10000.0

OLDCAPACITY,1.0

NEWCAPACITY,1.5

EXPAND,0.6

ALPHA_1,0.5

BETA_1,0.5

ALPHA_2,0.5

BETA_2,0.5

&sCalc,@sValue

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! Chronological Data (Periods)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

@rPastTHD,@rFutureTHD,@rTPD

START,END,PERIOD


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! Construction Data (Pointers)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Include-@sFile_Name

PartitioningPositioning-IMF.ups

Include-@sFile_Name

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! Capacity Data (Prototypes)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

&sUnit,&sOperation,@rRate_Lower,@rRate_Upper

DHT1,Existing,0.0,OLDCAPACITY

DHT1,Commission,0.0,0.0

DHT1,Expanded,0.0,0.0

DHT2,NonExisting,0.0,SMALL

DHT2,Construction,0.0,0.0

DHT2,Installed,0.0,0.0

Charge1,,0.0,0.0

Charge2,,0.0,0.0


&sUnit,&sOperation,@rHoldup_Lower,@rHoldup_Upper

Capacity1,,0.0,NEWCAPACITY*END



&sUnit,&sOperation,&sPort,&sState,@rTotalRate_Lower,@rTotalRate_Upper

ALLINPORTS,0.0,LARGE

ALLOUTPORTS,0.0,LARGE


&sUnit,&sOperation,&sPort,&sState,@rTeeRate_Lower,@rTeeRate_Upper



DHT1,Expanded,cpt,,0.0,NEWCAPACITY

DHT2,Installed,cpt,,0.0,NEWCAPACITY


&sUnit,&sOperation,&sPort,&sState,@rYield_Lower,@rYield_Upper,@rYield_Fixed

DHT1,Existing,i,,1.0,1.0,

DHT1,Existing,o,,0.0,1.0,

DHT1,Existing,o2,,0.0,1.0,

DHT1,Commission,i,,1.0,1.0,

DHT1,Commission,o,,0.0,1.0,

DHT1,Commission,o2,,0.0,1.0,

DHT1,Commission,cpt,,0.0,LARGE,

DHT1,Expanded,i,,1.0,1.0,

DHT1,Expanded,o,,0.0,1.0,

DHT1,Expanded,o2,,0.0,1.0,

DHT1,Expanded,cpt,,1.0,LARGE,

DHT2,NonExisting,i,,1.0,1.0,

DHT2,NonExisting,o,,0.0,1.0,

DHT2,NonExisting,o2,,0.0,1.0,

DHT2,Construction,i,,1.0,1.0,

DHT2,Construction,o,,0.0,1.0,

DHT2,Construction,o2,,0.0,1.0,

DHT2,Construction,cpt,,0.0,LARGE,

DHT2,Installed,i,,1.0,1.0,

DHT2,Installed,o,,0.0,1.0,

DHT2,Installed,o2,,0.0,1.0,

DHT2,Installed,cpt,,1.0,LARGE,

Charge1,,i,,1.0,1.0

Charge1,,cpl,,EXPAND*ALPHA_1,EXPAND*ALPHA_1,EXPAND*(BETA_1-ALPHA_1*OLDCAPACITY)

Charge1,,cpt,,0.0,0.0

Charge2,,i,,1.0,1.0

Charge2,,cpl,,ALPHA_2,ALPHA_2,BETA_2



!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! Constituent Data (Properties)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

&sDensity

SG

&sDensity

&sProperty

S

&sProperty

&sProperty,@sDensity

S,SG


&sUnit,&sOperation,&sPort,&sState,&sDensity,@rDensity_Lower,@rDensity_Upper,@rDensity_Target

ALLINPORTS,SG,0.0,2.0,

ALLOUTPORTS,SG,0.0,2.0,

D1000,,o,,SG,0.82,0.82


&sUnit,&sOperation,&sPort,&sState,&sProperty,@rProperty_Lower,@rProperty_Upper,@rProperty_Target

ALLINPORTS,S,0.0,1.0,

ALLOUTPORTS,S,0.0,1.0,

D1000,,o,,S,0.1,0.1


&sCondition

SG

S

SEV

&sCondition

&sUnit,&sOperation,&sCondition,@rCondition_Lower,@rCondition_Upper,@rCondition_Target

DHT1,Existing,SG,0.8,2.0,

DHT1,Existing,S,0.000,1.0,

DHT1,Existing,SEV,0.90,0.95,

DHT1,Commission,SG,0.8,2.0,

DHT1,Commission,S,0.000,1.0,

DHT1,Commission,SEV,0.90,0.95,

DHT1,Expanded,SG,0.8,2.0,

DHT1,Expanded,S,0.000,1.0,

DHT1,Expanded,SEV,0.90,0.95,

DHT2,NonExisting,SEV,0.90,0.99,

DHT2,NonExisting,SG,0.8,2.0,

DHT2,NonExisting,S,0.0,1.0,

DHT2,Construction,SEV,0.90,0.99,

DHT2,Construction,SG,0.8,2.0,

DHT2,Construction,S,0.0,1.0,

DHT2,Installed,SEV,0.90,0.99,

DHT2,Installed,SG,0.8,2.0,

DHT2,Installed,S,0.0,1.0,


UOPSDensityUOCondition-&sUnit,&sOperation,&sPort,&sState,&sDensity,&sUnit,&sOperation,&sCondition

DHT1,Existing,i,,SG,DHT1,Existing,SG

DHT1,Commission,i,,SG,DHT1,Commission,SG

DHT1,Expanded,i,,SG,DHT1,Expanded,SG

DHT2,NonExisting,i,,SG,DHT2,NonExisting,SG

DHT2,Construction,i,,SG,DHT2,Construction,SG

DHT2,Installed,i,,SG,DHT2,Installed,SG


UOPSPropertyUOCondition-&sUnit,&sOperation,&sPort,&sState,&sProperty,&sUnit,&sOperation,&sCondition

DHT1,Existing,i,,S,DHT1,Existing,S

DHT1,Commission,i,,S,DHT1,Commission,S

DHT1,Expanded,i,,S,DHT1,Expanded,S

DHT2,NonExisting,i,,S,DHT2,NonExisting,S

DHT2,Construction,i,,S,DHT2,Construction,S

DHT2,Installed,i,,S,DHT2,Installed,S


ConditionsUOPSYield-&sUnit,&sOperation,&sPort,&sState,@sType,@rValue,@sValue

DHT1,Existing,o,,?,3,(1.0- (SEV-0.90)/2)

DHT1,Commission,o,,?,3,(1.0- (SEV-0.90)/2)

DHT1,Expanded,o,,?,3,(1.0- (SEV-0.90)/2)

DHT1,Existing,o2,,?,3, (SEV-0.90)/2

DHT1,Commission,o2,,?,3, (SEV-0.90)/2

DHT1,Expanded,o2,,?,3, (SEV-0.90)/2

DHT2,NonExisting,o,,?,3,(1.0- (SEV-0.90)/2)

DHT2,Construction,o,,?,3,(1.0- (SEV-0.90)/2)

DHT2,Installed,o,,?,3,(1.0- (SEV-0.90)/2)

DHT2,NonExisting,o2,,?,3, (SEV-0.90)/2

DHT2,Construction,o2,,?,3, (SEV-0.90)/2

DHT2,Installed,o2,,?,3, (SEV-0.90)/2


ConditionsUOPSDensity-&sUnit,&sOperation,&sPort,&sState,&sDensity,@sType,@rValue,@sValue

DHT1,Existing,o,,SG,?,3,SG

DHT1,Commission,o,,SG,?,3,SG

DHT1,Expanded,o,,SG,?,3,SG

DHT2,NonExisting,o,,SG,?,3,SG

DHT2,Construction,o,,SG,?,3,SG

DHT2,Installed,o,,SG,?,3,SG


ConditionsUOPSProperty-&sUnit,&sOperation,&sPort,&sState,&sProperty,@sType,@rValue,@sValue

DHT1,Existing,o,,S,?,3,(1.0-SEV)*S

DHT1,Commission,o,,S,?,3,(1.0-SEV)*S

DHT1,Expanded,o,,S,?,3,(1.0-SEV)*S

DHT2,NonExisting,o,,S,?,3,(1.0-SEV)*S

DHT2,Construction,o,,S,?,3,(1.0-SEV)*S

DHT2,Installed,o,,S,?,3,(1.0-SEV)*S


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! Cost Data (Pricing)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

&sUnit,&sOperation,&sPort,&sState,@rFlowPro_Weight,@rFlowPer1_Weight,@rFlowPer2_Weight,@rFlowPen_Weight

D1000,,o,,0.0,

D50,,i,,1.0,

D15,,i,,1.2,

WN,,i,,0.0,

Capital,Cost,cpl,,-1.0


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! Content Data (Past, Present Provisos)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

&sUnit,&sOperation,@rHoldup_Value,@rStart_Time

Capacity1,,0.0,0.0

Capacity2,,0.0,0.0


&sUnit,&sOperation,@rSetup_Value,@rStart_Time

DHT1,Existing,1,START

DHT2,NonExisting,1,START


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! Command Data (Future Provisos)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

&sUnit,&sOperation,@rSetup_Lower,@rSetup_Upper,@rBegin_Time,@rEnd_Time

ALLPARTS,1,1,BEGIN,END

Charge1,,-1,-1,BEGIN,END

Charge2,,-1,-1,BEGIN,END


&sUnit,&sOperation,&sPort,&sState,&sUnit,&sOperation,&sPort,&sState,@rSetup_Lower,@rSetup_Upper,@rBegin_Time,@rEnd_Time

ALLPATHS,1,1,BEGIN,END


&sUnit,&sOperation,&sPort,&sState,@rYield_Lower,@rYield_Upper,@rYield_Target,@rBegin_Time,@rEnd_Time

Charge1,,cpt,,1.0*(END-1.0),1.0*(END-1.0),,0.0,1.0







&sUnit,&sOperation,&sPort,&sState,@rTotalRate_Lower,@rTotalRate_Upper,@rTotalRate_Target,@rBegin_Time,@rEnd_Time

D1000,,o,,0.0,5.0,,BEGIN,END


&sUnit,&sOperation,&sPort,&sState,&sProperty,@rProperty_Lower,@rProperty_Upper,@rProperty_Target,@rBegin_Time,@rEnd_Time

D50,,i,,S,0.0,0.0050,,BEGIN,END

D15,,i,,S,0.0,0.0015,,BEGIN,END


i M P l (c)


C:\IndustrialAlgorithms\Portfolio\partitioningpositioning-imf-nlpt1.dat

&sCalc,@sValue

DHT1,Existing,o,,YD,1,DHT1EXISTOYD1_1



DHT1,Existing,o2,,YD,1,DHT1EXISTO2YD1_1



DHT1,Existing,o,,YD,1,DHT1COMMOYD1_1



DHT1,Existing,o2,,YD,1,DHT1COMMO2YD1_1



DHT1,Existing,o,,YD,1,DHT1EXPANDOYD1_1



DHT1,Existing,o2,,YD,1,DHT1EXPANDO2YD1_1



DHT2,NonExisting,o,,YD,1,DHT2NONEXISTOYD1_1



DHT2,NonExisting,o2,,YD,1,DHT2NONEXISTO2YD1_1



DHT2,NonExisting,o,,YD,1,DHT2CONSTOYD1_1



DHT2,NonExisting,o2,,YD,1,DHT2CONSTO2YD1_1



DHT2,NonExisting,o,,YD,1,DHT2INSTALLOYD1_1



DHT2,NonExisting,o2,,YD,1,DHT2INSTALLO2YD1_1



&sCalc,@sValue

Appendix C - PartitioningPositioning-IMF-MILPT3.IML and OML Files

i M P l (c)


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

&sCalc,@sValue

START,-1.0

BEGIN,0.0

END,3.0

PERIOD,1.0

OLDCAPACITY,1.0

NEWCAPACITY,1.5

SMALL,0.001

LARGE,10000.0

EXPAND,0.6

ALPHA_1,0.5

BETA_1,0.5

ALPHA_2,0.5

BETA_2,0.5

&sCalc,@sValue

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


START,END,PERIOD


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Include-@sFile_Name


Include-@sFile_Name

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!



DHT1,Commission,0.0,OLDCAPACITY

DHT1,Expanded,0.0,LARGE

DHT2,NonExisting,0.0,0.0

DHT2,Construction,0.0,SMALL

DHT2,Installed,0.0,LARGE

Charge1,,SMALL,NEWCAPACITY

Charge2,,SMALL,NEWCAPACITY







































Charge1,,i,,1.0,1.0



Charge2,,i,,1.0,1.0




!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! Constriction Data (Practices/Policies)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

&sUnit,&sOperation,@rUpTiming_Lower,@rUpTiming_Upper

DHT1,Commission,1.0,1.0

DHT1,Expanded,END,

DHT2,Construction,1.0,1.0

DHT2,Installed,END,

&sUnit,&sOperation,@rUpTiming_Lower,@rUpTiming_Upper

&sUnit,@sZeroDoo2Timing

DHT1,on

DHT2,on

&sUnit,@sZeroDoo2Timing

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! Consolidation Data (Partitioning)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

&sUnit,&sOperation,&sOperationGroup

DHT1,Existing,ExistingGroup

DHT1,Expanded,ExpandedGroup

DHT2,NonExisting,NonExistingGroup

DHT2,Installed,InstalledGroup

&sUnit,&sOperation,&sOperationGroup

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! Compatibility Data (Phasing, Prohibiting, Purging, Postponing)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

&sUnit,&sOperationGroup,&sOperationGroup,@sOperation

DHT1,ExistingGroup,ExpandedGroup,Commission

DHT2,NonExistingGroup,InstalledGroup,Construction

&sUnit,&sOperationGroup,&sOperationGroup,@sOperation

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


D1000,,o,,0.0,

D50,,i,,1.0,

D15,,i,,1.2,

WN,,i,,0.0,



!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


Capacity1,,0.0,0.0

Capacity2,,0.0,0.0






!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


ALLPARTS,0,1,BEGIN,END



ALLPATHS,0,1,BEGIN,END










! "Conjunction" Yields.

Include-@sFile_Name

partitioningpositioning-imf-nlpt1.dat

Include-@sFile_Name

Include-@sFile_Name

partitioningpositioning-imf-nlpt3.dat

Include-@sFile_Name

&sCalc,@sValue

DHT1EXISTOYD1,DHT1EXISTOYD1_3+NOT(DHT1EXISTOYD1_3)*DHT1EXISTOYD1_1



DHT1EXISTO2YD1,DHT1EXISTO2YD1_3+NOT(DHT1EXISTO2YD1_3)*DHT1EXISTO2YD1_1



DHT1COMMOYD1,DHT1COMMOYD1_3+NOT(DHT1COMMOYD1_3)*DHT1COMMOYD1_1



DHT1COMMO2YD1,DHT1COMMO2YD1_3+NOT(DHT1COMMO2YD1_3)*DHT1COMMO2YD1_1



DHT1EXPANDOYD1,DHT1EXPANDOYD1_3+NOT(DHT1EXPANDOYD1_3)*DHT1EXPANDOYD1_1



DHT1EXPANDO2YD1,DHT1EXPANDO2YD1_3+NOT(DHT1EXPANDO2YD1_3)*DHT1EXPANDO2YD1_1



DHT2NONEXISTOYD1,DHT2NONEXISTOYD1_3+NOT(DHT2NONEXISTOYD1_3)*DHT2NONEXISTOYD1_1



DHT2NONEXISTO2YD1,DHT2NONEXISTO2YD1_3+NOT(DHT2NONEXISTO2YD1_3)*DHT2NONEXISTO2YD1_1



DHT2CONSTOYD1,DHT2CONSTOYD1_3+NOT(DHT2CONSTOYD1_3)*DHT2CONSTOYD1_1



DHT2CONSTO2YD1,DHT2CONSTO2YD1_3+NOT(DHT2CONSTO2YD1_3)*DHT2CONSTO2YD1_1



DHT2INSTALLOYD1,DHT2INSTALLOYD1_3+NOT(DHT2INSTALLOYD1_3)*DHT2INSTALLOYD1_1



DHT2INSTALLO2YD1,DHT2INSTALLO2YD1_3+NOT(DHT2INSTALLO2YD1_3)*DHT2INSTALLO2YD1_1



&sCalc,@sValue


DHT1,Existing,o,,DHT1EXISTOYD1,DHT1EXISTOYD1,,0.0,1.0



DHT1,Existing,o2,,DHT1EXISTO2YD1,DHT1EXISTO2YD1,,0.0,1.0



DHT1,Commission,o,,DHT1COMMOYD1,DHT1COMMOYD1,,0.0,1.0



DHT1,Commission,o2,,DHT1COMMO2YD1,DHT1COMMO2YD1,,0.0,1.0



DHT1,Expanded,o,,DHT1EXPANDOYD1,DHT1EXPANDOYD1,,0.0,1.0



DHT1,Expanded,o2,,DHT1EXPANDO2YD1,DHT1EXPANDO2YD1,,0.0,1.0



DHT2,Installed,o,,DHT2INSTALLOYD1,DHT2INSTALLOYD1,,0.0,1.0



DHT2,Installed,o2,,DHT2INSTALLO2YD1,DHT2INSTALLO2YD1,,0.0,1.0




i M P l (c)


C:\IndustrialAlgorithms\Portfolio\partitioningpositioning-imf-milpt3.dat

&sCalc,@sValue

DHT1,Existing,SP,1,DHT1EXISTSP1



DHT1,Commission,SP,1,DHT1COMMSP1



DHT1,Expanded,SP,1,DHT1EXPANDSP1



DHT2,NonExisting,SP,1,DHT2NONEXISTSP1



DHT2,Construction,SP,1,DHT2CONSTRSP1



DHT2,Installed,SP,1,DHT2INSTALLSP1



Charge1,,SP,1,Charge1SP1






DHT2,Installed,o,,D15,,i,,SP,1,DHT2INSTALLD15SP1






&sCalc,@sValue

Appendix D - PartitioningPositioning-IMF-NLPT3.IML and OML Files

i M P l (c)


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

&sCalc,@sValue

START,-1.0

BEGIN,0.0

END,3.0

PERIOD,1.0

SMALL,0.001

LARGE,10000.0

OLDCAPACITY,1.0

NEWCAPACITY,1.5

EXPAND,0.6

ALPHA_1,0.5

BETA_1,0.5

ALPHA_2,0.5

BETA_2,0.5

&sCalc,@sValue

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


START,END,PERIOD


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Include-@sFile_Name


Include-@sFile_Name

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!



DHT1,Commission,0.0,OLDCAPACITY

DHT1,Expanded,0.0,LARGE

DHT2,NonExisting,0.0,0.0

DHT2,Construction,0.0,SMALL

DHT2,Installed,0.0,LARGE

Charge1,,0.0,NEWCAPACITY

Charge2,,0.0,NEWCAPACITY







































Charge1,,i,,1.0,1.0



Charge2,,i,,1.0,1.0




!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! Constituent Data (Properties)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

&sDensity

SG

&sDensity

&sProperty

S

&sProperty


S,SG



ALLINPORTS,SG,0.0,2.0,

ALLOUTPORTS,SG,0.0,2.0,

D1000,,o,,SG,0.82,0.82



ALLINPORTS,S,0.0,1.0,

ALLOUTPORTS,S,0.0,1.0,

D1000,,o,,S,0.1,0.1


&sCondition

SG

S

SEV

&sCondition


DHT1,Existing,SG,0.8,2.0,

DHT1,Existing,S,0.000,1.0,

DHT1,Existing,SEV,0.90,0.95,

DHT1,Commission,SG,0.8,2.0,

DHT1,Commission,S,0.000,1.0,

DHT1,Commission,SEV,0.90,0.95,

DHT1,Expanded,SG,0.8,2.0,

DHT1,Expanded,S,0.000,1.0,

DHT1,Expanded,SEV,0.90,0.95,

DHT2,NonExisting,SEV,0.90,0.99,

DHT2,NonExisting,SG,0.8,2.0,

DHT2,NonExisting,S,0.0,1.0,

DHT2,Construction,SEV,0.90,0.99,

DHT2,Construction,SG,0.8,2.0,

DHT2,Construction,S,0.0,1.0,

DHT2,Installed,SEV,0.90,0.99,

DHT2,Installed,SG,0.8,2.0,

DHT2,Installed,S,0.0,1.0,



DHT1,Existing,i,,SG,DHT1,Existing,SG

DHT1,Commission,i,,SG,DHT1,Commission,SG

DHT1,Expanded,i,,SG,DHT1,Expanded,SG

DHT2,NonExisting,i,,SG,DHT2,NonExisting,SG

DHT2,Construction,i,,SG,DHT2,Construction,SG

DHT2,Installed,i,,SG,DHT2,Installed,SG



DHT1,Existing,i,,S,DHT1,Existing,S

DHT1,Commission,i,,S,DHT1,Commission,S

DHT1,Expanded,i,,S,DHT1,Expanded,S

DHT2,NonExisting,i,,S,DHT2,NonExisting,S

DHT2,Construction,i,,S,DHT2,Construction,S

DHT2,Installed,i,,S,DHT2,Installed,S



DHT1,Existing,o,,?,3,(1.0- (SEV-0.90)/2)

DHT1,Commission,o,,?,3,(1.0- (SEV-0.90)/2)

DHT1,Expanded,o,,?,3,(1.0- (SEV-0.90)/2)

DHT1,Existing,o2,,?,3, (SEV-0.90)/2

DHT1,Commission,o2,,?,3, (SEV-0.90)/2

DHT1,Expanded,o2,,?,3, (SEV-0.90)/2

DHT2,NonExisting,o,,?,3,0.0 * (1.0- (SEV-0.90)/2)

DHT2,Construction,o,,?,3,0.0 * (1.0- (SEV-0.90)/2)

DHT2,Installed,o,,?,3,(1.0- (SEV-0.90)/2)

DHT2,NonExisting,o2,,?,3,0.0 * (SEV-0.90)/2

DHT2,Construction,o2,,?,3,0.0 * (SEV-0.90)/2

DHT2,Installed,o2,,?,3,(SEV-0.90)/2



DHT1,Existing,o,,SG,?,3,SG

DHT1,Commission,o,,SG,?,3,SG

DHT1,Expanded,o,,SG,?,3,SG

DHT2,NonExisting,o,,SG,?,3,SG

DHT2,Construction,o,,SG,?,3,SG

DHT2,Installed,o,,SG,?,3,SG



DHT1,Existing,o,,S,?,3,(1.0-SEV)*S

DHT1,Commission,o,,S,?,3,(1.0-SEV)*S

DHT1,Expanded,o,,S,?,3,(1.0-SEV)*S

DHT2,NonExisting,o,,S,?,3,(1.0-SEV)*S

DHT2,Construction,o,,S,?,3,(1.0-SEV)*S

DHT2,Installed,o,,S,?,3,(1.0-SEV)*S


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


D1000,,o,,0.0,

D50,,i,,1.0,

D15,,i,,1.2,

WN,,i,,0.0,



!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


Capacity1,,0.0,0.0

Capacity2,,0.0,0.0






!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! "Conjunction" Setups.

Include-@sFile_Name

partitioningpositioning-imf-milpt3.dat

Include-@sFile_Name


D1000,,1,1,BEGIN,END

D50,,1,1,BEGIN,END

D15,,1,1,BEGIN,END

Capital,Cost,1,1,BEGIN,END

WN,,1,1,BEGIN,END

Capacity1,,1,1,BEGIN,END

Capacity2,,1,1,BEGIN,END

DHT1,Existing,DHT1EXISTSP1,DHT1EXISTSP1,0.0,1.0



DHT1,Commission,DHT1COMMSP1,DHT1COMMSP1,0.0,1.0



DHT1,Expanded,DHT1EXPANDSP1,DHT1EXPANDSP1,0.0,1.0



DHT2,NonExisting,DHT2NONEXISTSP1,DHT2NONEXISTSP1,0.0,1.0



DHT2,Construction,DHT2CONSTRSP1,DHT2CONSTRSP1,0.0,1.0



DHT2,Installed,DHT2INSTALLSP1,DHT2INSTALLSP1,0.0,1.0



Charge1,,Charge1SP1,Charge1SP1,0.0,1.0








Capacity1,,o,,DHT1,Expanded,cpt,,1,1,BEGIN,END

Capacity2,,o,,DHT2,Installed,cpt,,1,1,BEGIN,END

Charge1,,cpl,,Capital,Cost,cpl,,1,1,BEGIN,END

Charge1,,cpt,,Capacity1,,i,,1,1,BEGIN,END

Charge2,,cpl,,Capital,Cost,cpl,,1,1,BEGIN,END

Charge2,,cpt,,Capacity2,,i,,1,1,BEGIN,END

D1000,,o,,DHT1,Commission,i,,1,1,BEGIN,END

D1000,,o,,DHT1,Existing,i,,1,1,BEGIN,END

D1000,,o,,DHT1,Expanded,i,,1,1,BEGIN,END

D1000,,o,,DHT2,Construction,i,,1,1,BEGIN,END

D1000,,o,,DHT2,Installed,i,,1,1,BEGIN,END

D1000,,o,,DHT2,NonExisting,i,,1,1,BEGIN,END

DHT1,Commission,cpt,,Charge1,,i,,1,1,BEGIN,END

DHT1,Commission,o,,D50,,i,,1,1,BEGIN,END

DHT1,Commission,o2,,WN,,i,,1,1,BEGIN,END

DHT1,Existing,o,,D50,,i,,1,1,BEGIN,END

DHT1,Existing,o2,,WN,,i,,1,1,BEGIN,END

DHT1,Expanded,o,,D50,,i,,1,1,BEGIN,END

DHT1,Expanded,o2,,WN,,i,,1,1,BEGIN,END

DHT2,Construction,cpt,,Charge2,,i,,1,1,BEGIN,END

DHT2,Construction,o,,D15,,i,,1,1,BEGIN,END

DHT2,Construction,o,,D50,,i,,1,1,BEGIN,END

DHT2,Construction,o2,,WN,,i,,1,1,BEGIN,END

!DHT2,Installed,o,,D15,,i,,1,1,BEGIN,END

!DHT2,Installed,o,,D50,,i,,1,1,BEGIN,END

DHT2,Installed,o2,,WN,,i,,1,1,BEGIN,END

DHT2,NonExisting,o,,D15,,i,,1,1,BEGIN,END

DHT2,NonExisting,o,,D50,,i,,1,1,BEGIN,END

DHT2,NonExisting,o2,,WN,,i,,1,1,BEGIN,END

DHT2,Installed,o,,D15,,i,,DHT2INSTALLD15SP1,DHT2INSTALLD15SP1,0.0,1.0
















D1000,,o,,0.0,5.0,,BEGIN,END



D50,,i,,S,0.0,0.0050,,BEGIN,END

D15,,i,,S,0.0,0.0015,,BEGIN,END


i M P l (c)


C:\IndustrialAlgorithms\Portfolio\partitioningpositioning-imf-nlpt3.dat

&sCalc,@sValue







DHT1,Commission,o,,YD,1,DHT1COMMOYD1_3



DHT1,Commission,o2,,YD,1,DHT1COMMO2YD1_3



DHT1,Expanded,o,,YD,1,DHT1EXPANDOYD1_3



DHT1,Expanded,o2,,YD,1,DHT1EXPANDO2YD1_3



DHT2,Installed,o,,YD,1,DHT2NONEXISTOYD1_3



DHT2,Installed,o2,,YD,1,DHT2NONEXISTO2YD1_3



DHT2,Installed,o,,YD,1,DHT2CONSTOYD1_3



DHT2,Installed,o2,,YD,1,DHT2CONSTO2YD1_3



DHT2,Installed,o,,YD,1,DHT2INSTALLOYD1_3



DHT2,Installed,o2,,YD,1,DHT2INSTALLO2YD1_3



&sCalc,@sValue