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 115
The slack variable for this constraint is defined to be x3 = 4 – x1 , which is the amount of slack in the left - hand side of the inequality . Thus , Xi + X3 = 4 . Given this equation , xi s 4 if and only if 4 – xy = x3 2 0.
The slack variable for this constraint is defined to be x3 = 4 – x1 , which is the amount of slack in the left - hand side of the inequality . Thus , Xi + X3 = 4 . Given this equation , xi s 4 if and only if 4 – xy = x3 2 0.
Page 216
Even when the simplex method has gone through hundreds or thousands of iterations , the coefficients of the slack variables in the final tableau will reveal how this tableau has been obtained from the initial tableau .
Even when the simplex method has gone through hundreds or thousands of iterations , the coefficients of the slack variables in the final tableau will reveal how this tableau has been obtained from the initial tableau .
Page 484
The slack for an activity is the difference between its latest finish time and its earliest finish time . In symbols , Slack = LF - EF . ( Since LF – EF = LS – ES , either difference actually can be used to calculate slack . ) ...
The slack for an activity is the difference between its latest finish time and its earliest finish time . In symbols , Slack = LF - EF . ( Since LF – EF = LS – ES , either difference actually can be used to calculate slack . ) ...
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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 |