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 192
This situation is summarized in Table 5.1 , where defining equations refer to the constraint boundary equations that yield ( define ) the indicated CPF solution . For any linear programming problem with n decision variables , each CPF ...
This situation is summarized in Table 5.1 , where defining equations refer to the constraint boundary equations that yield ( define ) the indicated CPF solution . For any linear programming problem with n decision variables , each CPF ...
Page 199
The key ques- tion is : How do we tell whether a particular constraint boundary equation is one of the defining ... The values of the basic variables are given by the simultaneous solu- tion of the system of m equations for the problem ...
The key ques- tion is : How do we tell whether a particular constraint boundary equation is one of the defining ... The values of the basic variables are given by the simultaneous solu- tion of the system of m equations for the problem ...
Page 200
( This case corresponds to a CPF solution that satisfies another con- straint boundary equation in addition to its n defining ... We noted earlier that not every system of n constraint boundary equations yields a corner - point solution ...
( This case corresponds to a CPF solution that satisfies another con- straint boundary equation in addition to its n defining ... We noted earlier that not every system of n constraint boundary equations yields a corner - point solution ...
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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 |