optimisation modelling in agriculture · presentation phd in industrial engineering. professor. in...
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RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Enhancing and implementing Knowledge based ICT solutions within high Risk and Uncertain Conditions for
Agriculture Production Systems (RUC-APS)
WP8 LeaderMME Alemany Dí[email protected]
Work-Package 8:Agri-Food Supply Chain Decision-Making under Uncertainty
OPTIMISATION MODELLING IN AGRICULTURE
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Presentation
PhD in Industrial Engineering
Professor in Operations & Supply Chain Management
Department of Business Organisation
Research Center on Production Management and Engineering Responsible of the Research Unit“Sales & Operations Planning”
Polytechnic University of Valencia Spain
Dr. MarevaAlemany Díaz
Researcher ID: J-2194-2015ORCID: 0000-0002-0992-8441
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Presentation
RUC-APS Enhancing and implementing Knowledge based ICT solutions within highRisk and Uncertain Conditions for Agriculture Production Systems
WP8 Agri-food Supply Chain Decision-Making under Uncertainty
WP8 Leader: Dr. Mareva Alemany Díaz
Research Center on Production Management and Engineering
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Presentation
1st Position at the UPV in Research Activity per Member along different years
CIGIP is a research structure ofthe Polytechnic University ofValencia, member of thePolytechnic City of Innovation(CPI), the greatest exponent ofthe flow of knowledge andtechnology between researchinstitutions and industry
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Presentation
Our staff is multidisciplinary withdifferent university degrees
Raúl Poler(CIGIP-Director)
ÁngelOrtiz
M. Mar Eva Alemany
(WP8 Leader)
JosefaMula
Juan José Pérez
Andrés Boza
Mª JoséVerdecho
Llanos Cuenca
David Pérez
FaustinoAlarcón
Pedro Gómez
Vicente S. Fuertes
CIGIP-UPV TEAM for RUC-APS
Manuel Díaz-Madroñero
Raquel Sanchís
Ana Esteso(ESR)
M. Ángeles(ESR)
Pilar I. Vidal
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Contents• Introduction: Contextualization and Current Situation• WP8: Agri-food Supply Chain Decision-Making under Uncertainty• Decision-Making Optimization• Agri-food SC Optimization Problems in WP8• Crop Planning Problem
• Optimization Model to Support Sustainable Crop Planning for Reducing Unfairness among Farmers
• Agri-food SC Design Problem• Optimization Model to Support Sustainable Crop Planning for Reducing Unfairness among
Farmers• Crop Prices Forecasting
• Durum wheat price forecasting• Conclusions
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Introduction: Contextualization and Current Situation
Agri-food Supply ChainSet of activities necessary to bring agricultural
products “from the farm to the fork”
Seed Producers Farmers Transporters Processors Distributors Sales Points Consumers
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Supply Chain ManagementIntegrated planning, implementation, coordination and control of all business
processes and activities necessary to produce and deliver, as efficiently as possible, products that satisfy market requirements.
Introduction: Contextualization and Current Situation
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Products’ CharacteristicsPerishabilityNon homogeneity
Agri-Food Supply Chain Management
Governmental RegulationsOn Food Safety
ConsumersHigh variation on tastes and preferences
Operational ConstraintsStorage, Processing & Distribution
Very different from that of industrial SCs
UncertaintyProductProcessEnvironmentMarket
v v
Introduction: Contextualization and Current Situation
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Consumer Needs Business Challenges Enabling Technologies
CURRENT SITUATION
Introduction: Contextualization and Current Situation
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
WP8 Agri-food SC Decision-
Making under Uncertainty
Data Right Decisions?
Introduction: Contextualization and Current Situation
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
WP8: Agri-food SC Decision-Making under UncertaintyAims of WP8 inside RUC-APS Project
Boosting the SUSTAINABILITY of the AGRI-FOOD VALUE CHAINS by
OPTIMIZING its DECISION-MAKINGprocesses in an uncertain context
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Decision-Making Optimization: UncertaintyA decision is the conclusion of a process designed to weigh the relative uses or utilities of a set of alternatives on hand, so that decision maker selects the best alternative which is best to his problem or situation and implement it.
Decision Making involves all activities and thinking that are necessary to identify the most optimal or preferred choice among the available alternatives
Decision based on degree of certainty
Rama Murty (2007)
Decisions may be classified depending on the degree of certainty situation:
(i) Decision making under Certainty(ii) Decision making under Uncertainty (iii) Decision making under Risk.
The first two are two extremes and the third one falls between these two with certain probability distribution
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Decision-Making Optimization: OR Methods
What is Operational Research?
OR is the discipline of applying advanced analytical methods to help make better decisions.
By using diverse techniques such as problem structuring methods and mathematical modelling to analyse complex situations, OR helps people make more effective decisions based on:
•More complete data•Consideration of all available options•Careful predictions of outcomes and estimates of risk•The latest decision tools and techniques
DECISION-MAKING OPTIMIZATION
Boosting the SUSTAINABILITY of the AGRI-FOOD VALUE CHAINS by
OPTIMIZING its DECISION-MAKINGprocesses in an uncertain context
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
AFSC SUSTAINABILITY
ENVIRONMENTAL ECONOMIC SOCIAL Profitability
Cost OptimizationEfficiency
Pricing on quality
GHG EmissionEnergy Consumption
Ecological & Resource IssuesWastes
Food SafetyFairness
Employment/TrainingFood needs satisfaction
APPLICABLE MODELS & METHODS Lyfe Cycle Assessment
Linear Programming Non-Linear Programming
Mixed-Integer Programming Multi-Objective Programming
Stochastic Programming
Fuzzy Programming
Simmulation
Decision-Making Optimization: OR Methods
MATHEMATICAL PROGRAMMING
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Decision-Making Optimization: OR Methods
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Decision-Making Optimization: OR Methods
Known (a posteriori, once the model is solved)
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Decision-Making Optimization: OR MethodsExample: CROP PLANNING PROBLEM DESCRIPTION
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
• Each land area can only be planted once • Everything that is planted is sold
Decision-Making Optimization: OR MethodsASSUMPTIONS
OBJECTIVE FUNCTION
𝑀𝑀𝑀𝑀𝑀𝑀[𝑍𝑍] = �𝑝𝑝𝑖𝑖 ∙ 𝑦𝑦𝑖𝑖 ∙ 𝑋𝑋𝑖𝑖
𝐼𝐼
𝑖𝑖=1
= �𝑝𝑝𝑖𝑖 ∙ 𝑦𝑦𝑖𝑖 ∙ 𝑋𝑋𝑖𝑖𝑖𝑖
CONSTRAINTS - Available land area limit
�𝑋𝑋𝑖𝑖 ≤𝐼𝐼
𝑖𝑖=1
𝑀𝑀
- Available labour resources limit
�𝑡𝑡𝑝𝑝𝑖𝑖 ∙ 𝑋𝑋𝑖𝑖 ≤𝐼𝐼
𝑖𝑖=1
𝑀𝑀𝑡𝑡𝑝𝑝
- Water limitation
�𝑤𝑤𝑖𝑖 ∙ 𝑋𝑋𝑖𝑖
𝐼𝐼
𝑖𝑖=1
≤ 𝑀𝑀𝑤𝑤
- Fertilizers limitation
�𝑓𝑓𝑖𝑖 ∙ 𝑋𝑋𝑖𝑖 ≤𝐼𝐼
𝑖𝑖=1
𝑀𝑀𝑓𝑓
- Non-negativity constratins 𝑋𝑋𝑖𝑖 ≥ 0 ∀𝑖𝑖
- Seeds limitation 𝑠𝑠𝑖𝑖 ∙ 𝑋𝑋𝑖𝑖 ≤ 𝑀𝑀𝑠𝑠𝑖𝑖 ∀𝑖𝑖
DEFINITION PART MODELLING PARTINDEXES i crops (i=1..I) PARAMETERS 𝑡𝑡𝑝𝑝𝑖𝑖 labour time needed to plant one hectare of the crop i 𝑤𝑤𝑖𝑖 water needed per hectare of crop i 𝑓𝑓𝑖𝑖 fertilizers needed per hectare of the crop i 𝑠𝑠𝑖𝑖 seeds needed per hectare of the crop i 𝑝𝑝𝑖𝑖 benefit of the crop i per hectare a available planting area 𝑀𝑀𝑡𝑡𝑝𝑝 availability of labour 𝑀𝑀𝑤𝑤 availability of water 𝑀𝑀𝑓𝑓 availability of fertilizers 𝑀𝑀𝑠𝑠𝑖𝑖 availability of seeds 𝑦𝑦𝑖𝑖 crop yield DECISION VARIABLES 𝑋𝑋𝑖𝑖 area allocated to crop i
(Kg/ha)
(€/Kg)
(ha)
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
DEMAND PLANNINGFORECASTING
DEMAND FULFILLMENTORDER PROMISING
Agri-food SC Optimization Problems in WP8
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Agri-food SC Optimization Problems in WP8
Fuente: http://www.revistainternos.com.ar/2018/05/mar-del-plata-descartan-tomates-por-exceso-de-oferta-y-escaso-consumo/Fecha último acceso (13/08/2019)
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Limited & Uncertain Shelf-lifeConstraints storage possibilities
Uncertain SupplyDue to weather uncertainty it is not known exactly when and how much is going to be harvested
Lack of Collaboration among FarmersThey independently decide the quantity to be planted for each crop, not being possible to know the global supply
Market Prices FluctuationsPrices affect consumers and farmers in an opposite way
Common Farmers’ Practicesproduce more of the previous season's most beneficial crop
Market Demand: Unknown & UncertainAbsence of market demand forecasting and their uncertainty
Imbalance between Supply & Demand
Agri-food SC Optimization Problems in WP8
24
Crop PlanningProblem
It refers to the selection of cropsto be planted, the land área allocated to each one and theirdistribution in the farm land
Dury et al (2012)
ALLOCATION RESOURCES PROBLEM MULTIPLE
SOURCES OF UNCERTAINTY
MATHEMATICAL PROGRAMMING
MODELS
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Crop Planning Problem: Literature Review Conclusions
SustainabilityEcon+Soc+Med (16 %)
Collaboration & FairnessIt is necessary to address collaboration aspects, especially between farmers at the same stageCentralized models originates maximum unfairness
Policies to minimize riskMininum & Maximum Land Area per Crop
Perishability and Waste95% assumes that all harvested is sold not existing wasteWaste is a FAO’s priority
Planting period & Harvesting18% consider planting period5% include harvesting decisions
Market Demand 70% do not consider the market demand, being the whole production is sold
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Crop Planning Problem: Objectives
• Improve the position of power of farmers in the food value chain• through the development of tools for mutually beneficial cooperation,• which allow integrating the needs of producers and consumers, • contributing to the sustainability and a fair distribution of gains between farmers
OBJECTIVES
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Optimization Model to Support Sustainable Crop Planning for Reducing Unfairness among Farmers
Actual trend in fresh agri-food sector is to operatewith shorter AFSC with proximity of sales, thereduction of intermediaries and use of transport.Benefits:
• Reduction in the Operation & Inventory costs of fresh products at the retailer
• Sales proximity improves the local social & economic benefits
We propose a novel multi-objective model to support the sustainable perishable crop planning of an AFSC operating with this new business model considering collaboration
among farmers and accounting objectives aligned to sustainability aspects
This business model assumes that all products received at a retailer in one period needs to be sold:
Implications: • More exact demand forecasts are needed• Create mechanisms to sell the excess of supply
in order to minimize wastes• Settlement of products
Current trend in fresh agri-food SCs
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Optimization Model to Support Sustainable Crop Planning for Reducing Unfairness among Farmers
• Each farmer: one farming location with an available plantingarea.
• Farmers decide on the area to plant with each crop per period.• Due to technical reasons, a minimum area needs to be planted
per crop and period when it is decided to do so.• The yield per crop plant depends on its planting and harvest
date.• The product has to be harvested when it is mature so no
product can be left on the plant.• Products need to be transported to retailers in the same
period of their harvest.• Harvested products not transported, are wasted at the farming
location.
• Trucks are used to transport products from farming locations to retailers. To use one truck a minimum percentage of the cargocapacity needs to be loaded.
• Products transported to retailers are sold or wasted in the same period due to the high perishability of crops. If there is an excess ofsupply, wastes can be reduced by looking for new demand for settled products limited by a demand percentage.
• A minimum level service is ensured when meeting the demand of each crop.
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Optimization Model to Support Sustainable Crop Planning for Reducing Unfairness among Farmers
Objective Functions
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Optimization Model to Support Sustainable Crop Planning for Reducing Unfairness among Farmers
�� 𝐴𝐴𝑙𝑙𝑙𝑙𝑝𝑝𝑝𝑝∈𝑃𝑃𝑙𝑙𝑙𝑙
≤ 𝑀𝑀𝑝𝑝𝑙𝑙 ∀𝑙𝑙
𝑀𝑀𝑎𝑎𝑖𝑖𝑛𝑛𝑙𝑙 · 𝑌𝑌𝑃𝑃𝑙𝑙𝑙𝑙𝑝𝑝 ≤ 𝐴𝐴𝑙𝑙𝑙𝑙𝑝𝑝 ≤ 𝑀𝑀𝑝𝑝𝑙𝑙 · 𝑌𝑌𝑃𝑃𝑙𝑙𝑙𝑙𝑝𝑝 ∀𝑙𝑙, 𝑙𝑙, 𝑝𝑝 ∈
𝐻𝐻𝑙𝑙𝑙𝑙𝑡𝑡 = � 𝑦𝑦𝑙𝑙𝑝𝑝𝑡𝑡𝑝𝑝∈𝑃𝑃𝑙𝑙
· 𝐴𝐴𝑙𝑙𝑙𝑙𝑝𝑝 ∀𝑙𝑙, 𝑙𝑙, 𝑡𝑡
𝐻𝐻𝑙𝑙𝑙𝑙𝑡𝑡 = 𝑊𝑊𝑊𝑊𝑙𝑙𝑙𝑙𝑡𝑡 + 𝑇𝑇𝑙𝑙𝑙𝑙𝑡𝑡 ∀𝑙𝑙, 𝑙𝑙, 𝑡𝑡
𝑙𝑙𝑀𝑀𝑝𝑝 · 𝑎𝑎𝑙𝑙 · 𝑁𝑁𝑙𝑙𝑡𝑡 ≤�𝑇𝑇𝑙𝑙𝑙𝑙𝑡𝑡𝑙𝑙
≤ 𝑙𝑙𝑀𝑀𝑝𝑝 · 𝑁𝑁𝑙𝑙𝑡𝑡 ∀𝑙𝑙, 𝑡𝑡
�𝑇𝑇𝑙𝑙𝑙𝑙𝑡𝑡𝑙𝑙
= 𝑆𝑆𝑙𝑙𝑡𝑡 + 𝐺𝐺𝑙𝑙𝑡𝑡 + 𝑊𝑊𝑙𝑙𝑡𝑡 ∀𝑙𝑙, 𝑡𝑡
𝑆𝑆𝑙𝑙𝑡𝑡 + 𝐵𝐵𝑙𝑙𝑡𝑡 = 𝑑𝑑𝑙𝑙𝑡𝑡 ∀𝑙𝑙, 𝑡𝑡 𝐺𝐺𝑙𝑙𝑡𝑡 ≤ 𝑒𝑒𝑙𝑙𝑡𝑡 · 𝑑𝑑𝑙𝑙𝑡𝑡 · 𝑌𝑌𝑙𝑙𝑡𝑡 ∀𝑙𝑙, 𝑡𝑡 𝐵𝐵𝑙𝑙𝑡𝑡 ≤ 𝑑𝑑𝑙𝑙𝑡𝑡 · 𝑌𝑌𝑙𝑙𝑡𝑡 ∀𝑙𝑙, 𝑡𝑡
�𝑆𝑆𝑙𝑙𝑡𝑡𝑡𝑡
≥�𝑠𝑠𝑙𝑙𝑙𝑙 · 𝑑𝑑𝑙𝑙𝑡𝑡𝑡𝑡
∀𝑙𝑙
𝐴𝐴𝑙𝑙𝑙𝑙𝑝𝑝 ,𝐻𝐻𝑙𝑙𝑙𝑙𝑡𝑡 ,𝑊𝑊𝑊𝑊𝑙𝑙𝑙𝑙𝑡𝑡 ,𝑇𝑇𝑙𝑙𝑙𝑙𝑡𝑡 ,𝑊𝑊𝑙𝑙𝑡𝑡 , 𝑆𝑆𝑙𝑙𝑡𝑡 ,𝐵𝐵𝑙𝑙𝑡𝑡 ,𝐺𝐺𝑙𝑙𝑡𝑡 ,𝐷𝐷𝑙𝑙 ,𝑃𝑃𝑃𝑃,𝑃𝑃𝑊𝑊𝑙𝑙 𝑁𝑁𝑙𝑙𝑡𝑡 𝑌𝑌𝑃𝑃𝑙𝑙𝑙𝑙𝑝𝑝
CONSTRAINTS
Limited Total Planting Area
Min & Max Planted Area per Crop
Quantities to be harvested
Transport decisions & wastes’ farmers calculation
Limited capacity of trucks
Calculation of quantity sold, settled, notserved and wasted at retailers
Nature of decisión variables
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Optimization Model to Support Sustainable Crop Planning for Reducing Unfairness among Farmers
Case Study of La Plata: Argentina
PLANTING & HARVESTING CALENDAR
• 3 planting seasons• Harvesting periods depend
on planting period
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Optimization Model to Support Sustainable Crop Planning for Reducing Unfairness among Farmers
Results
𝟏𝟏𝟏𝟏 𝐒𝐒𝐒𝐒𝐒𝐒𝐒𝐒𝐒𝐒𝐒𝐒𝐒𝐒𝐒𝐒𝐒𝐒: 𝒘𝒘𝑬𝑬𝑬𝑬 − 𝒘𝒘𝑬𝑬𝑬𝑬𝑬𝑬 − 𝒘𝒘𝑺𝑺𝑺𝑺𝑬𝑬
ECONOMIC
ENVIRONMENTAL
SOCIAL
Computational Efficiency
The multi-objective model counts with • 4,852 constraints, • 90 binary variables, • 520 integer variables, and• 5,415 continuous variables.
MODEL SIZE
Optimal solutions have been found for all Scenarios with a mean resolution time of 2 minutes and 46 seconds.
SOLUTION QUALITY & TIME
1-0-0
0-1-0
0-0-1
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Optimization Model to Support Sustainable Crop Planning for Reducing Unfairness among Farmers
UNCERTAINTY MODELLING: Fuzzy Sets
Uncertain parameters: • demand• sales price• settlement prices• crop yields
Characteristics: • Historic data availability and its distribution
probability is hard to obtain• Fuzzy Sets has demonstrated its utility in lack
of information, vagueness and inaccuracy
Fuzzy Sets
Methodology:
Jiménez et al. (2007) to transform a fuzzy model into an equivalent crisp model
𝛼𝛼
��(1 − 𝛼𝛼)𝐸𝐸2𝑀𝑀𝑖𝑖𝑖𝑖 + 𝛼𝛼𝐸𝐸1
𝑀𝑀𝑖𝑖𝑖𝑖 � 𝑀𝑀𝑖𝑖
𝑛𝑛
𝑖𝑖=1
≥ 𝛼𝛼𝐸𝐸2𝑏𝑏𝑖𝑖 + (1 − 𝛼𝛼)𝐸𝐸1
𝑏𝑏𝑖𝑖 𝑖𝑖 = 1,2, … ,𝑎𝑎1
��(1 − 𝛼𝛼)𝐸𝐸1𝑀𝑀𝑖𝑖𝑖𝑖 + 𝛼𝛼𝐸𝐸2
𝑀𝑀𝑖𝑖𝑖𝑖 � 𝑀𝑀𝑖𝑖
𝑛𝑛
𝑖𝑖=1
≤ 𝛼𝛼𝐸𝐸1𝑏𝑏𝑖𝑖 + (1 − 𝛼𝛼)𝐸𝐸2
𝑏𝑏𝑖𝑖 𝑖𝑖 = 𝑎𝑎1 + 1, … ,𝑎𝑎2
���1 −𝛼𝛼2�𝐸𝐸1
𝑀𝑀𝑖𝑖𝑖𝑖 +𝛼𝛼2𝐸𝐸2𝑀𝑀𝑖𝑖𝑖𝑖 � 𝑀𝑀𝑖𝑖
𝑛𝑛
𝑖𝑖=1
≤𝛼𝛼2𝐸𝐸1𝑏𝑏𝑖𝑖 + �1 −
𝛼𝛼2�𝐸𝐸2
𝑏𝑏𝑖𝑖 𝑖𝑖 = 𝑎𝑎2 + 1, … ,𝑎𝑎3
���1 −𝛼𝛼2�𝐸𝐸2
𝑀𝑀𝑖𝑖𝑖𝑖 +𝛼𝛼2𝐸𝐸1𝑀𝑀𝑖𝑖𝑖𝑖 � 𝑀𝑀𝑖𝑖
𝑛𝑛
𝑖𝑖=1
≥𝛼𝛼2𝐸𝐸2𝑏𝑏𝑖𝑖 + �1 −
𝛼𝛼2�𝐸𝐸1
𝑏𝑏𝑖𝑖 𝑖𝑖 = 𝑎𝑎2 + 1, … ,𝑎𝑎3
𝐸𝐸𝐼𝐼(�̃�𝑧) = [𝐸𝐸1𝑧𝑧 ,𝐸𝐸2
𝑧𝑧] = �𝑧𝑧1 + 𝑧𝑧2
2,𝑧𝑧3 + 𝑧𝑧4
2�
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Optimization Model to Support Sustainable Crop Planning for Reducing Unfairness among Farmers
UNCERTAINTY MODELLING: Fuzzy Sets
Uncertain parameters: • demand• sales price• settlement prices• crop yields
Characteristics: • Historic data availability and its distribution
probability is hard to obtain• Fuzzy Sets has demonstrated its utility in lack
of information, vagueness and inaccuracy
Fuzzy Sets
Methodology:
Jiménez et al. (2007) to transform a fuzzy model into an equivalent crisp model
𝛼𝛼
��(1 − 𝛼𝛼)𝐸𝐸2𝑀𝑀𝑖𝑖𝑖𝑖 + 𝛼𝛼𝐸𝐸1
𝑀𝑀𝑖𝑖𝑖𝑖 � 𝑀𝑀𝑖𝑖
𝑛𝑛
𝑖𝑖=1
≥ 𝛼𝛼𝐸𝐸2𝑏𝑏𝑖𝑖 + (1 − 𝛼𝛼)𝐸𝐸1
𝑏𝑏𝑖𝑖 𝑖𝑖 = 1,2, … ,𝑎𝑎1
��(1 − 𝛼𝛼)𝐸𝐸1𝑀𝑀𝑖𝑖𝑖𝑖 + 𝛼𝛼𝐸𝐸2
𝑀𝑀𝑖𝑖𝑖𝑖 � 𝑀𝑀𝑖𝑖
𝑛𝑛
𝑖𝑖=1
≤ 𝛼𝛼𝐸𝐸1𝑏𝑏𝑖𝑖 + (1 − 𝛼𝛼)𝐸𝐸2
𝑏𝑏𝑖𝑖 𝑖𝑖 = 𝑎𝑎1 + 1, … ,𝑎𝑎2
���1 −𝛼𝛼2�𝐸𝐸1
𝑀𝑀𝑖𝑖𝑖𝑖 +𝛼𝛼2𝐸𝐸2𝑀𝑀𝑖𝑖𝑖𝑖 � 𝑀𝑀𝑖𝑖
𝑛𝑛
𝑖𝑖=1
≤𝛼𝛼2𝐸𝐸1𝑏𝑏𝑖𝑖 + �1 −
𝛼𝛼2�𝐸𝐸2
𝑏𝑏𝑖𝑖 𝑖𝑖 = 𝑎𝑎2 + 1, … ,𝑎𝑎3
���1 −𝛼𝛼2�𝐸𝐸2
𝑀𝑀𝑖𝑖𝑖𝑖 +𝛼𝛼2𝐸𝐸1𝑀𝑀𝑖𝑖𝑖𝑖 � 𝑀𝑀𝑖𝑖
𝑛𝑛
𝑖𝑖=1
≥𝛼𝛼2𝐸𝐸2𝑏𝑏𝑖𝑖 + �1 −
𝛼𝛼2�𝐸𝐸1
𝑏𝑏𝑖𝑖 𝑖𝑖 = 𝑎𝑎2 + 1, … ,𝑎𝑎3
𝐸𝐸𝐼𝐼(�̃�𝑧) = [𝐸𝐸1𝑧𝑧 ,𝐸𝐸2
𝑧𝑧] = �𝑧𝑧1 + 𝑧𝑧2
2,𝑧𝑧3 + 𝑧𝑧4
2�
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Agri-food Supply Chain DesignAFSC design is shape the nature of the supply chain (Melnik et al., 2013) being the possible decisions (Chopra and Meindl, 2007): Facility location, Facility role, Capacity allocation, Relationship between stakeholders
Relevance of supply chain configuration on agri-food Sector:
• Supply chain configuration limits the possible future tactical and operational decisions to be made (Melniket al., 2013).
• Operative aspects of agri-food sectors (e.g. limited shelf-life) impact on strategic decisions.
• Agri-food supply chain should be designed by combining strategic decision-making with the operative characteristics.
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
Agri-food Supply Chain Design: perishability impact
Challenge: To determine the impact that products’ perishability has on the agri-food AFSC design
Problem characteristics• Design of the entire SC: Farm, packing plant, warehouses and DC stages.• Tactical-Operative decisions: Planting, cultivation, harvest, laboring, packing, transport, storage.• Multiple products with limited shelf life.• Minimum shelf life (freshness) is required at markets.• Minimum planting areas per crop due to technical reasons.• Different harvest patterns.• Limited availability of resources:
• workforce capacity in farms: Plant, cultivate and harvest activities.• packing capacity at packing plant.• storage & management capacity at warehouses & DCs
• Objective: maximization of supply chain profits.
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])38
Agri-food Supply Chain Design: perishability impact
…………………
…………………
MIXED INTEGER LINEAR PROGRAMMING MODEL
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])39
Agri-Food Supply Chain Design: perishability impactExperimental Results
Packing plant Distributioncentre
MarketFarm Warehouse
t
520
• Realistic data from La Plata (Argentine)• 3 crops
• Horizon:• 52 periods
• Locations: • 10 farms• 8 packing plants• 4 warehouses• 8 distribution Centers
• Scenarios: • Variability in product shelf-life• Five Scenarios:
• SL=1 period• SL=2 periods• SL=3 periods • SL=4 periods• SL=5 periods
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])40
Agri-Food Supply Chain Design: perishability impactExperimental Results: Managerial Insights
Managerial Insights• Different SC configuration for products
with different shelf-life.
• From a certain shelf-life, perishability of products does not impact on the SC configuration.
• Positive impact on profits, customer service level, and wastes when increasing product shelf-life:
• Important to invest in technology to:• Obtain products with longer shelf-
life• Extend product’
Farms Packing Plants Ware-houses
DistributionCenters
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])41
Agri-Food Supply Chain Design: perishability impact
Experimental Results: Computational Efficiency
Shelf-life Continuousvariables
Integervariables
Binaryvariables Constraints Resolution
time GAP
1 31,254 19,210 210 190,432 0.00 hours -
2 51,054 19,210 210 190,432 0.02 hours -
3 71,354 19,210 210 190,432 0.65 hours -
4 88,854 19,210 210 190,432 8.25 hours -
5 106,854 19,210 210 190,432 24 hours 0.32%
Resolution time limited to 24 hours
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])42
Computer Tools used for MPM OptimizationOptimization Architecture
MATHEMATICAL MODEL
DATA STORAGE
MPL MODELLING LANGUAGE
SOLVER
INPUT PARAMETERS
OPTIMUM VALUE OBJECTIVE & DECISION
VARIABLES
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])45
Conclusions
DIGITAL TECHNOLOGIES
MATHEMATICAL MODELS
REDUCED USE BY FARMERS
HARDWARE PROCESSING CAPACITY
SOFTWARE PACKAGES
MATH MODELS UPDATE
Improve the Data Availabilityto feed MathematicalProgramaming Models
License are free only for academicsand expensive forpractitioners
Big Problems require highprocessing capacity to be solved in time
Have proved their validtityfor achieving agri-foodsustainability
MPM are consideredhard to develop , use and understand
Maintenaince of MM require the expertknowledge
DIRECTOR Professor Raúl Poler “Agri-food Supply Chain Optimisation Service” is a very easy and friendly optimization tool in the cloud for optimising problems of different nature. No optimization background is necessary. You can choose between already existing models or ask for the development of a new model sending an e-mail to [email protected]
Don’t forget to attend to the Demonstrator Session about this Optimization ServiceWed, May 20, 2020 4:00 PM - 5:00 PM (CEST)
Please join CIGIP Director’s meeting from your computer, tablet or smartphone. https://global.gotomeeting.com/join/197516573
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
RUC-APS WP8: Some Publications • Esteso A., Alemany M.M.E., Ortiz A. (2017) Conceptual Framework for Managing Uncertainty in a Collaborative Agri-Food Supply Chain Context. In:
Camarinha-Matos L., Afsarmanesh H., Fornasiero R. (eds) Collaboration in a Data-Rich World. PRO-VE 2017. IFIP Advances in Information and Communication Technology, vol 506. Springer, Cham.
• Esteso A., M.M.E. Alemany, Ortiz A. (2018): Conceptual framework for designing agri-food supply chains under uncertainty by mathematical programming models, International Journal of Production Research, DOI: 10.1080/00207543.2018.1447706
• Esteso A., M.M.E. Alemany, Ortiz A. Guyon, C. (2018) A Collaborative Model to Improve Farmers' Skill Level by Investments in an Uncertain Context. IFIP Advances in Information and Communication Technology (534)590 - 598.
• H. Grillo, M.M.E. Alemany, A. Ortiz & B. De Baets (2019): Possibilistic compositions and state functions: application to the order promising process for perishables, International Journal of Production Research.
• Isabel Mundi, M. M. E. Alemany, Raúl Poler & Vicente S. Fuertes-Miquel (2019): Review of mathematical models for production planning under uncertainty due to lack of homogeneity: proposal of a conceptual model, International Journal of Production Research
• Zhao G. Shaofeng Liu, Huilan Chen, Carmen Lopez, Jorge Hernandez, Cécile Guyon, Rina Iannacone, Nicola Calabrese, Hervé Panetto, Janusz Kacprzyk, MME Alemany. (2019) Value-Chain Wide Food Waste Management: A Systematic Literature Review. In: Freitas P., Dargam F., Moreno J. (eds) Decision Support Systems IX: Main Developments and Future Trends. EmC-ICDSST 2019. Lecture Notes in Business Information Processing, vol 348. Springer, Cham
• Zaraté P., Alemany M., del Pino M., Alvarez A.E., Camilleri G. (2019) How to Support Group Decision Making in Horticulture: An Approach Based on the Combination of a Centralized Mathematical Model and a Group Decision Support System. In: Freitas P., Dargam F., Moreno J. (eds) Decision Support Systems IX: Main Developments and Future Trends. EmC-ICDSST 2019. Lecture Notes in Business Information Processing, vol 348. Springer, Cham.
RUC-APS YEAR 4 HIGHLIGHTSMME Alemany Díaz ([email protected])
RUC-APS WP8: Some Publications • Mario Lezoche, Jorge E. Hernandez, Maria del Mar Eva Alemany Diaz,Hervé Panetto, Janusz Kacprzy (2020),,Agri-food 4.0: A survey
of the supply chains and technologies for the future agriculture, Computers in Industry, Volume 117, 103-187
• Alejandra Garrido, Leandro Antonelli, Jonathan Martin, M.M.E. Alemany, Josefa Mula, (2020), Using LEL and scenarios to derive mathematical programming models. Application in a fresh tomato packing problem, Computers and Electronics in Agriculture 170 (2020) 105242
• Raquel Sanchis, Luca Canetta and Raúl Poler, 2020, A Conceptual Reference Framework for Enterprise Resilience Enhancement Sustainability, 12, 1464; doi:10.3390/su12041464
• Ortiz A., Alarcón F., Pérez D., Alemany M.M.E. (2019) Identifying the Main Uncertainties in the Agri-Food Supply Chain. In: Mula J., Barbastefano R., Díaz-Madroñero M., Poler R. (eds) New Global Perspectives on Industrial Engineering and Management. Lecture Notes in Management and Industrial Engineering. Springer, Cham
• Pérez Perales D., Alarcón Valero F., Drummond C., Ortiz Á. (2019) Towards a Sustainable Agri-food Supply Chain Model. The Case of LEAF. In: Ortiz Á., Andrés Romano C., Poler R., García-Sabater JP. (eds) Engineering Digital Transformation. Lecture Notes in Management and Industrial Engineering. Springer, Cham
• Verdecho MJ., Alfaro-Saiz JJ., Rodríguez-Rodríguez R. (2019) Integrating Business Process Interoperability into an Inter-enterprise Performance Management System. In: Popplewell K., Thoben KD., Knothe T., Poler R. (eds) Enterprise Interoperability VIII. Proceedings of the I-ESA Conferences, vol 9. Springer, Cham