Contents
Figures ...............v
Tables ...............vii
Language Reference Manual .....ix
Chapter 1. Why an Optimization
Programming Language? .......1
Chapter 2. OPL, the modeling language 3
Building a model .............3
Data types ...............4
Basic data types ............4
Data structures ............7
Data sources ..............15
Data initialization ...........15
Database initialization ..........24
Spreadsheet Input/Output ........28
Data consistency............32
Preprocessing of data ..........34
Pitfall of lazy initialization of data ......36
Decision types .............37
Decision variables ...........37
Expressions of decision variables ......38
Dynamic collection of elements into arrays . . . 39
Expressions ..............40
Usage of expressions ..........41
Data and decision variable identifiers.....41
Integer and float expressions .......41
Aggregate operators ..........43
Piecewise-linear functions ........43
Set expressions ............48
Boolean expressions ..........50
Constraints ..............51
Introduction .............51
Using constraints ...........51
Constraint labels............53
Types of constraints ..........58
Limitations on constraints ........64
Formal parameters ............65
Basic formal parameters .........65
Tuples of parameters ..........67
Filtering in tuples of parameters ......68
Scheduling ..............69
Introduction .............69
Piecewise linear and stepwise functions ....70
Interval variables ...........71
Unary constraints on interval variables ....75
Precedence constraints between interval variables 75
Constraints on groups of interval variables . . . 76
A logical constraint between interval variables:
presenceOf .............77
Expressions on interval variables ......77
Sequencing of interval variables ......78
Cumulative functions ..........81
State functions ............85
Notation ..............88
Chapter 3. IBM ILOG Script for OPL . . 91
Language structure ............91
Syntax ...............91
Expressions in IBM ILOG Script ......92
Statements..............98
Built-in values and functions ........103
Numbers ..............103
IBM ILOG Script strings .........110
IBM ILOG Script Booleans ........117
IBM ILOG Script arrays .........119
Objects ..............124
Dates ...............126
The null value ............129
The undefined value ..........130
IBM ILOG Script functions ........130
Miscellaneous functions .........131
Index ...............133
© Copyright IBM Corp. 1987, 2011 iii
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