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 109
4 Solving Linear Programming Problems : The Simplex Method We now are ready to begin studying the simplex method , a general procedure for solving linear programming problems . Developed by George Dantzig in 1947 , it has proved to be a ...
4 Solving Linear Programming Problems : The Simplex Method We now are ready to begin studying the simplex method , a general procedure for solving linear programming problems . Developed by George Dantzig in 1947 , it has proved to be a ...
Page 178
1 ( c ) Work through the simplex method step by step to solve the problem . ( a ) Solve this problem graphically . ( b ) Using the Big M method , construct the complete first simplex tableau for the simplex method and identify the ...
1 ( c ) Work through the simplex method step by step to solve the problem . ( a ) Solve this problem graphically . ( b ) Using the Big M method , construct the complete first simplex tableau for the simplex method and identify the ...
Page 310
to achieve dual feasibility as well ( the optimality test for the simplex method ) . By contrast , the dual simplex method deals with basic solutions in the primal problem that are dual feasible but not primal feasible .
to achieve dual feasibility as well ( the optimality test for the simplex method ) . By contrast , the dual simplex method deals with basic solutions in the primal problem that are dual feasible but not primal feasible .
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Introduction to Operations Research Frederick S. Hillier,Gerald J. Lieberman No preview available - 2001 |
Common terms and phrases
activity algebraic algorithm allocation allowable range artificial variables assignment problem augmenting path basic solution Big M method changes coefficients column Consider the following constraint boundary corresponding CPLEX decision variables dual problem dynamic programming entering basic variable example feasible region feasible solutions final simplex tableau final tableau following problem formulation functional constraints Gaussian elimination given goal goal programming graphically identify increase initial BF solution integer interior-point iteration leaving basic variable linear programming model linear programming problem LP relaxation lution Maximize Maximize Z maximum flow problem Minimize needed node nonbasic variables objective function obtained optimal solution optimality test path Plant presented in Sec primal problem Prob procedure range to stay resource right-hand sides sensitivity analysis shadow prices slack variables solve this model Solver spreadsheet step subproblem surplus variables tion transportation problem transportation simplex method weeks Wyndor Glass x₁ zero
Bibliographic information
| Title | Introduction to Operations Research, Volume 1 Introduction to Operations Research, Frederick S. Hillier McGraw-Hill industrial & plant engineering series McGraw-Hill series in industrial engineering and management science |
| Authors | Frederick S. Hillier, Gerald J. Lieberman |
| Edition | 7, illustrated |
| Publisher | McGraw-Hill, 2001 |
| Original from | the University of Michigan |
| Digitized | 8 Aug 2011 |
| ISBN | 0072321695, 9780072321692 |
| Length | 1214 pages |
| Export Citation | BiBTeX EndNote RefMan |