By Robert Fourer

AMPL is a language for large-scale optimization and mathematical programming difficulties in construction, distribution, mixing, scheduling, and plenty of different functions. Combining widespread algebraic notation and a strong interactive command surroundings, AMPL makes it effortless to create versions, use a large choice of solvers, and consider strategies. even though versatile and handy for speedy prototyping and improvement of versions, AMPL additionally deals the rate and generality wanted for repeated large-scale construction runs. This publication, written by means of the creators of AMPL, is an entire consultant for modelers in any respect degrees of expertise. It starts off with an educational on commonly used linear programming versions, and offers all of AMPL's positive aspects for linear programming with broad examples. extra chapters hide community, nonlinear, piecewise-linear, and integer programming; database and spreadsheet interactions; and command scripts. so much chapters contain workouts. obtain unfastened types of AMPL and a number of other solvers from www.ampl.com for experimentation, evaluate, and schooling. the website additionally lists proprietors of the economic model of AMPL and various solvers.

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**Extra info for AMPL: A Modeling Language for Mathematical Programming **

**Example text**

Thus plate is produced to absorb the capacity not taken by bands; coils would be produced only if both bands and plate reached their market limits before the available hours were exhausted. In reality, a whole product line cannot be shut down solely to increase weekly profits. The simplest way to reflect this in the model is to add lower bounds on the production amounts, as shown in Figures 1-5a and 1-5b. We have declared a new collection of parameters named commit, to represent the lower bounds on production that are imposed by sales commitments, and we have changed >= 0 to >= commit[p] in the declaration of the variables Make[p].

A "double inequality" like this is interpreted in the obvious way: the value of the slim in the middle mu st lie between n_min [i] and n_max [i]. The complete model is shown in Figure 2-1. 3 Using the AMPL diet model By specifying appropriate data, we can solve any of the linear programs that corre- spond to the above model. Let's begin by using the data from the beginning of this chapter, which is shown in AMPL format in Figure 2-2. The values of f_min and n_rnin are as given originally, wh ile f_max and n_rnax are set, for the time being.

It permits access to all of AMPL’s rich collection of features, and it will be the same in all environments. A text-based interface is most natural for creating scripts of frequently used commands and for writing programs that use AMPL’s programming constructs (the topics of Chapter 13). And text commands are used in applications where AMPL is a hidden or behind-thescenes part of some larger process. 7 AMPL INTERFACES 19 ________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________ Figure 1-7b: A Tcl/Tk-based AMPL graphical user interface (Unix).