ILOG OPL Development Studio Language Reference Manual

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Why an Optimization Programming Language?Describes the reasons why OPL provides a modeling language to solve your optimizationproblems.Linear programming, integer programming, and combinatorial optimization problems arisein a variety of application areas, which include planning, scheduling, sequencing, resourceallocation, design, and configuration.In this context, OPL is a modeling language for combinatorial optimization that aims atsimplifying the solving of these optimization problems. As such, it provides support in theform of computer equivalents for modeling linear, quadratic, and integer programs, andprovides access to state-of-the-art algorithms for linear programming, mathematical integerprogramming, and quadratic programming.Within ILOG OPL Development Studio, OPL as a language has been redesigned to betteraccommodate ILOG Script, its associated script language.8I L O G O P L D E V E L O P M E N T S T U D I O L A N G U A G ER E F E R E N C E M A N U A L
OPL, the modeling languagePresents the modeling language of ILOG OPL Development Studio, namely: the overallstructure of OPL models; the basic modeling concepts; how data can be initialized internallyas it is declared or externally in a .dat file; how to connect to, read from, and write to databasesand spreadsheets; expressions and relations; constraints; and formal parameters.In this sectionModelsDescribes the overall structure of OPL models and gives an example of a simple model.Data typesDescribes basic data types and data structures available for modeling data in OPL.Data sourcesDescribes data and database initialization, spreadsheet input/output, data consistency, andpreprocessing.Decision typesVariables in an OPL application are decision variables (dvar). OPL also supports decisionexpressions, that is, expressions that enable you to reuse decision variables (dexpr). A specificsyntax is available in OPL to dynamically collect elements into arrays.ExpressionsDescribes data and decision variable identifiers, integer and float expressions, aggregateoperators, piecewise-linear functions (continuous and discontinuous), set expressions, andBoolean expressions.I L O G O P L D E V E L O P M E N T S T U D I O L A N G U A G ER E F E R E N C E M A N U A L9
Page 2 and 3: CopyrightCOPYRIGHT NOTICECopyright
Page 5 and 6: C O N T E N T STable of contentsLan
Page 7: Language Reference ManualThis manua
Page 11 and 12: ModelsDescribes the overall structu
Page 13 and 14: }ctMaxTotal:Gas + Chloride
Page 15 and 16: Data typesDescribes basic data type
Page 17 and 18: Basic data typesDescribes integers,
Page 19 and 20: FloatsShows how to declare floats i
Page 21 and 22: Data structuresDescribes how the ba
Page 23 and 24: The range float declarationA range
Page 25 and 26: {Edge} Edges = {, , };int a[Edges]
Page 27 and 28: TuplesData structures in OPL can al
Page 29 and 30: In Declaring a tuple using a set of
Page 31 and 32: SetsDefinitionSets are non-indexed
Page 33 and 34: Sorted and ordered setsBy default,
Page 35 and 36: The data shows that the team includ
Page 37 and 38: Data sourcesDescribes data and data
Page 39 and 40: Data initializationDefines internal
Page 41 and 42: {Ship} shipData = ...;and assume th
Page 43 and 44: * .dat file */a = #[“Monday”: 1
Page 45 and 46: }}the same can be expressed with th
Page 47 and 48: Initializing tuplesYou initialize t
Page 49 and 50: Initializing setsYou can initialize
Page 51 and 52: As generic setsOPL supports generic
Page 53 and 54: Initialization and memory allocatio
Page 55 and 56: Database initializationDescribes ho
Page 57 and 58: Supported databasesSupported databa
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Reading from a databaseIn OPL, data
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DBconnection db("oracle9", connecti
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Note: OPL supports the same element
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Spreadsheet Input/OutputDescribes h
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Connection to a spreadsheetThe spre
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♦Sets of tuples: The data has to
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Data consistencyDefines the purpose
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Data membership consistencyThe keyw
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AssertionsOPL provides assertions t
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execute{writeln(s2);s1.add(3);write
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Decision typesVariables in an OPL a
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tuple Route {City orig;City dest;}{
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Dynamic collection of elements into
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The all syntaxThen, the all syntax
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Appending arraysYou can also concat
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ExpressionsDescribes data and decis
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Data and decision variable identifi
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(condition)?thenExpr : elseExprwher
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Piecewise-linear functionsPiecewise
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eakpoint[k-1] < ship[o][d] 0; 0}(1,
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Figure The discontinuous piecewise
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x == y;signx == piecewise{0->0; 2->
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Functions over setsFunction Descrip
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ConstraintsSpecifies the constraint
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Using constraintsExplains how to ap
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Conditional constraintsIf-then-else
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Constraint labelsExplains why label
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Labeling constraintsTo label a cons
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subject to {forall( p in Products ,
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Limitations to constraint labelingN
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Compatibility between constraint na
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Types of constraintsDescribes const
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Discrete constraintsDiscrete constr
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Implicit constraintsImplicit constr
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Symbol=>!===MeaningImplyDifferent f
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Constraints available in constraint
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♦Interval grouping constraint: al
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Formal parametersDescribes basic fo
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{forall(i in 1..8)forall(j in 1..8:
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Tuples of parametersOPL allows tupl
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int array[i in set1] = ((sum(j in s
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SchedulingDescribes how to model sc
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IntroductionILOG OPL Development St
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Piecewise linear and stepwise funct
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I L O G O P L D E V E L O P M E N T
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e equal to 1. For a fixed interval
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ExamplesFor examples of using inter
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Precedence constraints between inte
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A logical constraint between interv
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Important:The piecewise linear func
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♦prev(p, a, b) states that if bot
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Cumulative functionsIn scheduling p
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Constraints on cumul function expre
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Syntax and examplesFor the syntax a
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♦That everywhere over a given fix
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in state s. If algn e is true, it m
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NotationsThe main notations used th
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ILOG Script for OPLDescribes the st
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Language structurePresents the stru
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SyntaxWhat composes a scripting sta
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Compound statementsA compound state
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IdentifiersIdentifiers are used to
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Expressions in ILOG ScriptExpressio
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LiteralsLiterals can represent the
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Syntax of different types of expres
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Property accessThere are two ways o
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Function callsSyntactic shorthandSy
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Special operatorsSpecial operator s
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Other operatorsOther operators are
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StatementsA statement can be a cond
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SyntaxEffectfor (var i=0; i < a.len
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Outside a function definitionAt the
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Default valuesDefault value syntaxS
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Built-in values and functionsPresen
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NumbersNumber representations and f
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IntroductionNumbers can be expresse
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Hexadecimal numbersA hexadecimal nu
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Special numbersThere are three spec
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Number methodsThere is only one num
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Numeric constantsThe following nume
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Syntax~ xx > yx >>> yEffectBitwise
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ILOG Script stringsString represent
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Examples of string literals using e
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String propertiesThere is a single,
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Syntaxstring.toUpperCase()EffectExa
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String operatorsString operatorsSyn
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ILOG Script BooleansBoolean represe
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Automatic conversion to BooleanWhen
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Logical operatorsThe following Bool
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ILOG Script arraysArray representat
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Array constructorThe array construc
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Array methodsArray methodsSyntaxarr
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ObjectsObject representation and fu
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Defining methodsSince a method is r
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Object constructorObject constructo
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Built-in methodsThere is only one o
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DatesDate representation and functi
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Date constructorThe date constructo
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Date methodsDate methodsSyntaxdate.
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Date functionsDate functionsSyntaxD
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The null valueThe null value is a s
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ILOG Script functionsIn ILOG Script
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I N D E XIndexABabs, OPL function 9
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limitations in tuples 29ranges 22se
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GHIgeneric sets 51, 137groundbreakp
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NOfor the null value 259for the und
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sparsityand multidimensional arrays
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ILOG OPL Development Studio Language Reference Manual

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