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 155
Because the constraint on resource 1 , xı 5 4 , is not binding on the optimal solution ( 2 , 6 ) , there is a ... the constraints on resources 2 and 3 , 2x2 = 12 and 3x1 + 2x2 = 18 , are binding constraints ( constraints that hold with ...
Because the constraint on resource 1 , xı 5 4 , is not binding on the optimal solution ( 2 , 6 ) , there is a ... the constraints on resources 2 and 3 , 2x2 = 12 and 3x1 + 2x2 = 18 , are binding constraints ( constraints that hold with ...
Page 181
( b ) Use graphical analysis to find the shadow prices for the resources . ( c ) Determine how many additional units of resource 1 would be needed to increase the optimal value of Z by 15 . 4.7-5 . Consider the following problem .
( b ) Use graphical analysis to find the shadow prices for the resources . ( c ) Determine how many additional units of resource 1 would be needed to increase the optimal value of Z by 15 . 4.7-5 . Consider the following problem .
Page 241
2 9 erates at a strictly positive level ( x ; > 0 ) , the marginal value of the resources it consumes must equal ( as ... The second statement implies that the marginal value of resource i is zero ( y ; = 0 ) whenever the supply of this ...
2 9 erates at a strictly positive level ( x ; > 0 ) , the marginal value of the resources it consumes must equal ( as ... The second statement implies that the marginal value of resource i is zero ( y ; = 0 ) whenever the supply of this ...
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Introduction to Operations Research Frederick S. Hillier,Gerald J. Lieberman No preview available - 2001 |
Common terms and phrases
activity additional algorithm allowable amount apply assignment basic solution basic variable BF solution bound boundary called changes coefficients column complete Consider constraints Construct corresponding cost CPF solution decision variables demand described determine direction distribution dual problem entering equal equations estimates example feasible feasible region FIGURE final flow formulation functional constraints given gives goal identify illustrate increase indicates initial iteration linear programming Maximize million Minimize month needed node nonbasic variables objective function obtained operations optimal optimal solution original parameters path Plant possible presented primal problem Prob procedure profit programming problem provides range remaining resource respective resulting shown shows side simplex method simplex tableau slack solve step supply Table tableau tion unit weeks Wyndor Glass 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 |