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 286
( b ) Construct the dual problem . ( c ) Demonstrate graphically that the dual problem has an unbounded objective function . x1 + x2 + 2x3 = 12 x1 + x2 X3 = 1 and Xi 20 , X220 , X3 20 . 6.1-9 . Construct and graph a primal problem with ...
( b ) Construct the dual problem . ( c ) Demonstrate graphically that the dual problem has an unbounded objective function . x1 + x2 + 2x3 = 12 x1 + x2 X3 = 1 and Xi 20 , X220 , X3 20 . 6.1-9 . Construct and graph a primal problem with ...
Page 287
For any linear programming problem in our standard form and its dual problem , label each of the following statements as true or false and then justify your answer . ( a ) The sum of the number of functional constraints and the number ...
For any linear programming problem in our standard form and its dual problem , label each of the following statements as true or false and then justify your answer . ( a ) The sum of the number of functional constraints and the number ...
Page 288
x2 = 0 sic solution for the dual problem by using Eq . ( 0 ) for the pri- ( a ) How would you identify the optimal solution for the dual mal problem . Then draw your conclusions about whether these problem ? two basic solutions are ...
x2 = 0 sic solution for the dual problem by using Eq . ( 0 ) for the pri- ( a ) How would you identify the optimal solution for the dual mal problem . Then draw your conclusions about whether these problem ? two basic solutions are ...
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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 |