By Robert Fourer
AMPL is a language for large-scale optimization and mathematical programming difficulties in construction, distribution, mixing, scheduling, and lots of different purposes. Combining usual algebraic notation and a strong interactive command setting, AMPL makes it effortless to create types, use a wide selection of solvers, and view suggestions. even though versatile and handy for fast prototyping and improvement of types, AMPL additionally bargains the rate and generality wanted for repeated large-scale construction runs. This publication, written by way of the creators of AMPL, is a whole consultant for modelers in any respect degrees of expertise. It starts with an educational on common linear programming versions, and offers all of AMPL's good points for linear programming with large 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, assessment, and schooling. the website additionally lists proprietors of the economic model of AMPL and various solvers.
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Additional info for AMPL: A Modeling Language for Mathematical Programming
In AMPL, there is a specific syntax for data tables, which is sufficiently regular and unambiguous to be translated by a computer. Figure 1-3 gives data for the basic production model in that form. A set statement supplies the members (bands and coils) of set P, and a param table gives the corresponding values for a, c, and u. A simple param statement gives the value for b. These data statements, which are described in detail in Chapter 9, have a variety of options that let you list or tabulate parameters in convenient ways.
89 1. 99 1. 20000 20000 20000 20000 40000 24000 n_min 700 700 700 700 0 16000 param amt (tr) A BEEF 60 CHK 8 FISH 8 HAM 40 MCH 15 MTL 70 SPG 25 TUR 60 f_max . 10 10 10 10 10 10 10 10 f _min , C 20 0 10 40 35 30 50 20 Bl 10 20 15 35 15 15 25 15 B2 15 20 10 10 15 15 15 10 NA 938 2180 945 278 1182 896 1329 1397 CAL 295 770 440 430 315 400 370 450 := Figure 2·3; Data for enhanced diet model (diet2. dat). dat; ampl : solve; MINOS 5 . 5: infeasible problem. 9 iterations The message infeasible problem tells us that we have constrained the diet too tightly; there is no way that all of the restrictions can be sati sfied.
A maximum of 120 minutes of radio? 1-2. The steel model of this chapter can be further modified to reflect various changes in production requirements. For each part below, explain the modifications to Figures 1-6a and 1-6b that would be required to achieve the desired changes. ) (a) How would you change the constraints so that total hours used by all products must equal the total hours available for each stage? Solve the linear program with this change, and verify that you get the same results.
AMPL: A Modeling Language for Mathematical Programming by Robert Fourer