Introduction to Operations Research, Volume 1CD-ROM contains: Student version of MPL Modeling System and its solver CPLEX -- MPL tutorial -- Examples from the text modeled in MPL -- Examples from the text modeled in LINGO/LINDO -- Tutorial software -- Excel add-ins: TreePlan, SensIt, RiskSim, and Premium Solver -- Excel spreadsheet formulations and templates. |
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Page 179
... following problem . Minimize Z = 5,000x1 + 7,000x2 , subject to and -2x1 + x2 = 1 x1 = 2x2 ≥ 1 X2 ≥ 0 . I ( a ) ... problem . I ( c ) Work through phase 2 step by step to solve the original problem . c ( d ) Use a computer code ...
... following problem . Minimize Z = 5,000x1 + 7,000x2 , subject to and -2x1 + x2 = 1 x1 = 2x2 ≥ 1 X2 ≥ 0 . I ( a ) ... problem . I ( c ) Work through phase 2 step by step to solve the original problem . c ( d ) Use a computer code ...
Page 180
... following statements as true or false , and then justify your answer . ( a ) When a linear programming model has an equality constraint ... following problem . and Maximize 180 4 SOLVING LINEAR PROGRAMMING PROBLEMS : THE SIMPLEX METHOD.
... following statements as true or false , and then justify your answer . ( a ) When a linear programming model has an equality constraint ... following problem . and Maximize 180 4 SOLVING LINEAR PROGRAMMING PROBLEMS : THE SIMPLEX METHOD.
Page 287
... problem in our standard form and its dual problem , label each of the following statements as true or false and then justify your answer . ( a ) The sum of the number of functional constraints and the num- ber of variables ( before ...
... problem in our standard form and its dual problem , label each of the following statements as true or false and then justify your answer . ( a ) The sum of the number of functional constraints and the num- ber of variables ( before ...
Other editions - View all
Introduction to Operations Research Frederick S. Hillier,Gerald J. Lieberman No preview available - 2001 |
Common terms and phrases
activity algebraic algorithm allowable range artificial variables b₂ basic solution c₁ c₂ changes coefficients column Consider the following corresponding cost Courseware CPF solution CPLEX decision variables dual problem dynamic programming entering basic variable estimates example feasible region feasible solutions final simplex tableau final tableau flow following problem formulation functional constraints Gaussian elimination given graphical identify increase initial BF solution integer interior-point iteration leaving basic variable linear programming model linear programming problem LINGO LP relaxation lution Maximize subject Maximize Z maximum flow problem Minimize needed node nonbasic variables nonnegativity constraints objective function obtained optimal solution optimality test parameters path plant presented in Sec primal problem Prob procedure range to stay right-hand sides sensitivity analysis shadow prices simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion values weeks Wyndor Glass x₁ zero