assn5 - choice between possible leaving variables maximize...

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ORIE 3300/5300 ASSIGNMENT 5 Fall 2010 Individual work. Due: 3 pm, Friday October 15. 1. Read Chapter 3 in the AMPL book, on transportation and assignment problems, in preparation for next week’s recitations. 2. (a) Introduce slack variables in the linear program below. Then solve it using the simplex method. Use the slacks as the initial basic variables. At each iteration, use the “smallest subscript rule”: whenever the simplex method allows you a choice between sev- eral possible entering variables, choose the one with the smallest subscript, and use the same rule when the method allows you a
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Unformatted text preview: choice between possible leaving variables. maximize x 3 subject to-x 1 + x 3 ≤ x 1 + x 3 ≤ 4-x 2 + x 3 ≤ x 2 + x 3 ≤ 4 x 1 , x 2 , x 3 ≥ . (b) At which iterations was the basic feasible solution degenerate? (c) Which of the pivots you performed were degenerate? (d) Sketch a three-dimensional picture of the feasible region. (e) Which, if any, of the four first constraints is “redundant”? In other words, which, if any, of these constraints could you delete without changing the feasible region? 1...
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