ILOG OPL Development Studio Language Reference Manual

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More formally, let and and we define the following particular functionsofThe semantics of the elementary function expressions is listed in the following table, togetherwith the formal definition of their domain. The function set is equal to the singletonif; that is, if interval variable a is possibly absent, and equal to the emptyset otherwise.162I 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
Constraints on cumul function expressionsThe following constraints can be expressed on a cumul function expression f. Letandand a be an interval variable:♦alwaysIn(f, u, v, h min , h max ) means that the values of function f must remain in the range[h min , h max ] everywhere on the interval [u, v).♦alwaysIn(f, a, h min , h max ) means that if interval a is present, the values of function f mustremain in the range [h min , h max ] between the start and the end of interval variable a.♦f h max means that function f cannot take values greater than h max . It is semanticallyequivalent to .♦f h min means that function f cannot take values lower than h min . It is semantically equivalenttoMore formally: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 L163
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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
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SetsDefinitionSets are non-indexed
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Sorted and ordered setsBy default,
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The data shows that the team includ
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Data sourcesDescribes data and data
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Data initializationDefines internal
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{Ship} shipData = ...;and assume th
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* .dat file */a = #[“Monday”: 1
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}}the same can be expressed with th
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Initializing tuplesYou initialize t
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Initializing setsYou can initialize
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As generic setsOPL supports generic
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Initialization and memory allocatio
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Database initializationDescribes ho
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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
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
Page 133 and 134: Formal parametersDescribes basic fo
Page 135 and 136: {forall(i in 1..8)forall(j in 1..8:
Page 137 and 138: Tuples of parametersOPL allows tupl
Page 139 and 140: int array[i in set1] = ((sum(j in s
Page 141 and 142: SchedulingDescribes how to model sc
Page 143 and 144: IntroductionILOG OPL Development St
Page 145 and 146: Piecewise linear and stepwise funct
Page 147 and 148: I L O G O P L D E V E L O P M E N T
Page 149 and 150: e equal to 1. For a fixed interval
Page 151 and 152: ExamplesFor examples of using inter
Page 153 and 154: Precedence constraints between inte
Page 155 and 156: A logical constraint between interv
Page 157 and 158: Important:The piecewise linear func
Page 159 and 160: ♦prev(p, a, b) states that if bot
Page 161: Cumulative functionsIn scheduling p
Page 165 and 166: Syntax and examplesFor the syntax a
Page 167 and 168: ♦That everywhere over a given fix
Page 169 and 170: in state s. If algn e is true, it m
Page 171 and 172: NotationsThe main notations used th
Page 173 and 174: ILOG Script for OPLDescribes the st
Page 175 and 176: Language structurePresents the stru
Page 177 and 178: SyntaxWhat composes a scripting sta
Page 179 and 180: Compound statementsA compound state
Page 181 and 182: IdentifiersIdentifiers are used to
Page 183 and 184: Expressions in ILOG ScriptExpressio
Page 185 and 186: LiteralsLiterals can represent the
Page 187 and 188: Syntax of different types of expres
Page 189 and 190: Property accessThere are two ways o
Page 191 and 192: Function callsSyntactic shorthandSy
Page 193 and 194: Special operatorsSpecial operator s
Page 195 and 196: Other operatorsOther operators are
Page 197 and 198: StatementsA statement can be a cond
Page 199 and 200: SyntaxEffectfor (var i=0; i < a.len
Page 201 and 202: Outside a function definitionAt the
Page 203 and 204: Default valuesDefault value syntaxS
Page 205 and 206: Built-in values and functionsPresen
Page 207 and 208: NumbersNumber representations and f
Page 209 and 210: IntroductionNumbers can be expresse
Page 211 and 212: 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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