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 200
A BF solution is a basic solution where all m basic variables are nonnegative ( ≥ 0 ) . A BF solution is said to be degenerate if any of these m variables equals zero . Thus , it is possible for variable to be zero and still not be a ...
A BF solution is a basic solution where all m basic variables are nonnegative ( ≥ 0 ) . A BF solution is said to be degenerate if any of these m variables equals zero . Thus , it is possible for variable to be zero and still not be a ...
Page 397
8.2 to ob- tain an initial BF solution , and time how long you spend for each one . Compare both these times and the values of the objective function for these solutions . c ( b ) Obtain an optimal solution for this problem .
8.2 to ob- tain an initial BF solution , and time how long you spend for each one . Compare both these times and the values of the objective function for these solutions . c ( b ) Obtain an optimal solution for this problem .
Page 457
( b ) Use the optimality test to verify that this initial BF solution is optimal and that there are multiple optimal solutions . Apply one iteration of the network simplex method to find the other optimal BF solution , and then use ...
( b ) Use the optimality test to verify that this initial BF solution is optimal and that there are multiple optimal solutions . Apply one iteration of the network simplex method to find the other optimal BF solution , and then use ...
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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 |