drools
Geoffrey De Smet
Drools Planner in a nutshell
Agenda
Use casesBin packingWhat is NP complete?
Employee shift rosteringHard and soft constraints
Patient admission scheduleHow many possible solutions?
Is there much space to optimize?
Use cases
What are planning problems?
Hard constraint implementation
// a nurse can only work one shift per dayrule "oneShiftPerDay" when $left : EmployeeAssignment( $employee : employee, $shiftDate : shiftDate, $leftId : id ); $right : EmployeeAssignment( employee == $employee, shiftDate == $shiftDate, id > $leftId); then // Lower the hard score with a weight ...end
Soft constraint implementation
rule "dayOffRequest" when $dayOffRequest : DayOffRequest( $employee : employee, $shiftDate : shiftDate, $weight : weight ); $employeeAssignment : EmployeeAssignment( employee == $employee, shiftDate == $shiftDate ); then // Lower the soft score with the weight $weight ...end
Patient admission schedule
Hard constraintsNo 2 patients in same bed in same nightRoom gender limitationDepartment minimum or maximum agePatient requires specific room equipment(s)Soft constraintsPatient prefers maximum room sizeDepartment specializationRoom specializationPatient prefers specific room equipment(s)
Needle in a haystack
How many possible solutions?310 bedsin 105 roomsin 4 departments84 nights2750 patients (admissions)Numbers from a real dataset
Needle in a haystack
How many possible solutions?310 bedsin 105 roomsin 4 departments84 nights2750 patients (admissions)> books in British Museum?40 000 printed books
Source: wikipedia
Needle in a haystack
How many possible solutions?310 bedsin 105 roomsin 4 departments84 nights2750 patients (admissions)> humans?7000000000 humans
Source: NASA (wikipedia)
Needle in a haystack
How many possible solutions?310 bedsin 105 roomsin 4 departments84 nights2750 patients (admissions)> minimum atoms in the observable universe?10^80
Source: NASA and ESA (wikipedia)
Needle in a haystack
How many possible solutions?310 bedsin 105 roomsin 4
departments84 nights2750 patients (admissions)> atoms in the
universe
if every atom is a universe
of atoms?(10^80)^80 = 10^6400
Source: NASA and ESA (wikipedia)
Needle in a haystack
How many possible solutions?310 bedsin 105 roomsin 4 departments84 nights2750 patients (admissions)A little over 10^6851
Do the math
1 patient310 beds310 ways to schedule 1 patient2 patients310 * 310 = 961003 patients310 * 310 * 310 = 297910002750 patients310 * 310 * ... * 310310^2750= a little over 10^6851
A little over 10^6851
17565400009613647714189309909847019528176031676612802408947467896773536824694320253771058944295328388965847321421820520338269384218763243353186553203291774156243401969717704429199723195574019731357439221586010900901318775661618988149185744289903563474940721372704649669447515706252843900344472960295273324597346780837674886972275338744554737771986776337765496773882810395955542351928331414378439283405132892358744224215499792287586474426914111457027335258269167103194692790665217766902628732489519488236496931246157419949856522543510386164584826962224171420152255658502323853504643497053252922727924406406179159327025274968691052425818270121710670552641837503435108794481961062422002729288737980404185875233912428178009558605680683578864680145557998942327371019832139824665975180911386722774004539981342785523851686636374432671601485496423110930175953308580416767966832068095365964656939583089443708945844323888227816296382464122209980716936990539499472027590738400791514217875461942733015467480308665074008529461146577114465977072581447925882122906827160570007228017056499674188148507908716786164922536467490587163626945689452927061532150637454615233641645612791027410608416476380642469085143980464067453971429400369608313929289399595696359958354101721624055729520838609453039985592726289376243856941429063767903919977138724432513602703448146045970566585076809576476984036923221553270878279574239866657156729051295085970100212856025787345034666683590797377984104207041334053480226788236770435009014979334517769826461063281178894554527012859966520606253098788699367180806367012372895824963357992764969799123361044456461687410981522493093316910464937089299655880447014074876397812210684054337706530175130912335567383560436635091489083375525519539844805718811296858076507685112192499405286337668107046095023999871224655107877174220679360212410573001491104381221662138764756898834588381340410892158544837200229008533930816794663631470201197595487045022087615873490295940409113638894083753062801416644858
A little over 10^6851
70757942487218045035508810158461046502812782292385633846174494690914238485407798379765738528402484632449685642401410897637632172694954465509230907381501728706686840208173164426348468614134650930610728341876292346711310677332648553951422991989751468506508069513397904821612697383659788320905691994864296149528670873271380180066507702490525594196383327289726362280241278856579591895744202499646581373849829964867870738964842426372580420928473929652466453066089306581572745139056256181505240205578741292314133858985615181677968313683876880079649763914095651402272047776108451445066888366968448972791816669030945790810396895725248399188822034667566483522327685006195080178525107491255245054238976705620547582329759857450557583834141364747838395082871684183199560673441708538602779816347949276957201268066627372831370768073558934679410276824283049183299518869516908654179971718550810202675628457097617280232889096038128616543128200089047813223519902714196694639844273986565523012106816309974964021700560537928432528631741787455155275823033005847637107210747721372066369346754152090839849611389908167353907349234368276522287410730637555342957452428266968002573227849933691449063418286501311036314048960528249465982665132492491072491788618403253474529440348798670244615185355092357283764936387607076234181916670755269421546530337284689838773122323053171794271444358533638806848969871884168582847613016398013006633016140503743175611255484273419291435502775849577615159921009571496639402549077872124227731739936370100132762333353473908080215719004335487157010620020523763648856692728699459471603410776592535816520745995861336577877431293776796124264697049418795186010546056975226424227455446011031581123438684685838655333776830823720356749120051129394691394743488410658613543537795455760655157849602214428915084056181314465895075924498263846040474495622654552157933867572542745838370889391243702358459244386561081479905545570084491443709439642235090455604548030317754849613813010298858282615659336373785985294
A little over 10^6851
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A little over 10^6851
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The search space is big!Compare with WWW size 22020000000 pagesEach possible solution2750 patients scheduled into 310 bedsStill need to calculate the score! => Drools Expert
Is there much room to optimize?
Yes
Optimization = less polution,
less costs or better service
more CPU power
better
algorithm
First fit decreasing algorithm (>= humans)
Summary
Summary
Drools Planner solves planning problems
Adding constraints is easy and scalable
Switching/combining algorithms is easy
Q & A
Questions?Useful linksWebsitehttp://www.jboss.org/drools/Reference manualhttp://www.jboss.org/drools/documentation.htmlBloghttp://blog.athico.com/Mailing lists (forum interface through nabble.com)http://www.jboss.org/drools/lists.html
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