ILOG OPL Development Studio Language Reference Manual

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Expressions of decision variablesShows how to declare and use decision variable expressions in the OPL language.The keyword dexpr allows you to create reusable decision expressions. Indeed, if anexpression has a particular meaning in terms of the original problem, writing it as a decisionexpression (dexpr) makes the model more readable.For example, the scalableWarehouse.mod example expresses the total fixed costs asa decision expression:dexpr int TotalFixedCost = sum( w in Warehouses ) Fixed * Open[w];dexpr float TotalSupplyCost = sum( w in Warehouses, s in Stores ) SupplyCost[s][w] * Supply[s][w];minimize TotalFixedCost + TotalSupplyCost;This way, the two total cost expressions defined are shown in the Problem Browser alongwith their value.You can also use arrays of decision expressions. For example:dexpr int slack[i in r] = x[i] - y[i];This array is handled efficiently as only the “definition” is kept. Not all expressions for eachvalues of the indexes are created. As a consequence, you cannot change the definition of thedexpr for a particular element of the array.Using decision expressions is particularly useful and recommended if you plan to writeobjectives to be used with ILOG ODM. Please refer to the ODM documentation.82I 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
Dynamic collection of elements into arraysDiscusses the “all” syntax, explicit arrays, appending arrays, and dynamic initialization ofdecision variable arrays.In this sectionIntroductionProvides an overview of how elements are collected into arrays in OPL.The all syntaxShows how to use the all syntax in the OPL language.Explicit arraysDescribes explicit arrays in OPL.Appending arraysShows how to concatenate arrays in OPL.Initialization of decision variable arraysShows how to initialize your decision variable arrays in OPL.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 L83
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CopyrightCOPYRIGHT NOTICECopyright
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C O N T E N T STable of contentsLan
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Language Reference ManualThis manua
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OPL, the modeling languagePresents
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ModelsDescribes the overall structu
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}ctMaxTotal:Gas + Chloride
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Data typesDescribes basic data type
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Basic data typesDescribes integers,
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FloatsShows how to declare floats i
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Data structuresDescribes how the ba
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The range float declarationA range
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{Edge} Edges = {, , };int a[Edges]
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TuplesData structures in OPL can al
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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
Page 59 and 60: Reading from a databaseIn OPL, data
Page 61 and 62: DBconnection db("oracle9", connecti
Page 63 and 64: Note: OPL supports the same element
Page 65 and 66: Spreadsheet Input/OutputDescribes h
Page 67 and 68: Connection to a spreadsheetThe spre
Page 69 and 70: ♦Sets of tuples: The data has to
Page 71 and 72: Data consistencyDefines the purpose
Page 73 and 74: Data membership consistencyThe keyw
Page 75 and 76: AssertionsOPL provides assertions t
Page 77 and 78: execute{writeln(s2);s1.add(3);write
Page 79 and 80: Decision typesVariables in an OPL a
Page 81: tuple Route {City orig;City dest;}{
Page 85 and 86: The all syntaxThen, the all syntax
Page 87 and 88: Appending arraysYou can also concat
Page 89 and 90: ExpressionsDescribes data and decis
Page 91 and 92: Data and decision variable identifi
Page 93 and 94: (condition)?thenExpr : elseExprwher
Page 95 and 96: Piecewise-linear functionsPiecewise
Page 97 and 98: eakpoint[k-1] < ship[o][d] 0; 0}(1,
Page 99 and 100: Figure The discontinuous piecewise
Page 101 and 102: x == y;signx == piecewise{0->0; 2->
Page 103 and 104: Functions over setsFunction Descrip
Page 105 and 106: ConstraintsSpecifies the constraint
Page 107 and 108: Using constraintsExplains how to ap
Page 109 and 110: Conditional constraintsIf-then-else
Page 111 and 112: Constraint labelsExplains why label
Page 113 and 114: Labeling constraintsTo label a cons
Page 115 and 116: subject to {forall( p in Products ,
Page 117 and 118: Limitations to constraint labelingN
Page 119 and 120: Compatibility between constraint na
Page 121 and 122: Types of constraintsDescribes const
Page 123 and 124: Discrete constraintsDiscrete constr
Page 125 and 126: Implicit constraintsImplicit constr
Page 127 and 128: Symbol=>!===MeaningImplyDifferent f
Page 129 and 130: Constraints available in constraint
Page 131 and 132: ♦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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