By Stephen P. Bradley

ISBN-10: 020100464X

ISBN-13: 9780201004649

Ebook via Bradley, Stephen P., Hax, Arnoldo C., Magnanti, Thomas L.

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**Additional resources for Applied Mathematical Programming**

**Example text**

Construct the coefficient matrix, define each of the variables, and explain briefly the significance of each equation or inequality in the linear-programming model for optimal operation, during March and April, of the hydroelectric power system described as follows: The system consists of two dams and their associated reservoirs and power plants on a river. The important flows of power and water are shown in the accompanying diagram. In the following table, all quantities measuring water are in units of 103 acre-feet (KAF).

To recap, artificial variables are added to place the linear program in canonical form. Maximizing w either i) gives max w < 0. The original problem is infeasible and the optimization terminates; or ii) gives max w = 0. Then a canonical form has been determined to initiate the original problem. Apply the optimality, unboundedness, and improvement criteria to the original objective function z, starting with this canonical form. In order to reduce a general linear-programming problem to canonical form, it is convenient to perform the necessary transformations according to the following sequence: 1.

Construct the coefficient matrix for a linear program to optimize the operations of this division of the Radex Electronics Corporation over the indicated time period. Briefly define the variables and explain the significance of the equations. ) Exercises 35 24. Construct the coefficient matrix, define each of the variables, and explain briefly the significance of each equation or inequality in the linear-programming model for optimal operation, during March and April, of the hydroelectric power system described as follows: The system consists of two dams and their associated reservoirs and power plants on a river.

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