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 119
Choose x , and x2 to be the nonbasic variables ( = 0 ) for the initial BF solution : ( 0 , 0 , 4 , 12 , 18 ) . Not optimal , because increasing either nonbasic variable ( x , or x2 ) increases Z. . Not optimal , because moving along ...
Choose x , and x2 to be the nonbasic variables ( = 0 ) for the initial BF solution : ( 0 , 0 , 4 , 12 , 18 ) . Not optimal , because increasing either nonbasic variable ( x , or x2 ) increases Z. . Not optimal , because moving along ...
Page 199
Each constraint has an indicating variable that completely indicates ( by whether its value is zero ) whether ... + a a Each basic solution has m basic variables , and the rest of the variables are nonbasic variables set equal to zero .
Each constraint has an indicating variable that completely indicates ( by whether its value is zero ) whether ... + a a Each basic solution has m basic variables , and the rest of the variables are nonbasic variables set equal to zero .
Page 200
Thus , it is possible for a variable to be zero and still not be a nonbasic variable for the current BF solution . ( This case corresponds to a CPF solution that satisfies another constraint boundary equation in addition to its n ...
Thus , it is possible for a variable to be zero and still not be a nonbasic variable for the current BF solution . ( This case corresponds to a CPF solution that satisfies another constraint boundary equation in addition to its n ...
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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 |