Introduction to Operations ResearchCD-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 , x1 + x3 = 4 . Given
this equation , xi s 4 if and only if 4 – xy = x3 = 0 . Therefore , the original
constraint ...
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 , x1 + x3 = 4 . Given
this equation , xi s 4 if and only if 4 – xy = x3 = 0 . Therefore , the original
constraint ...
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 . Furthermore , the
same ...
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 . Furthermore , the
same ...
Page 484
This figure makes it easy to see how much slack each activity has . 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 ...
This figure makes it easy to see how much slack each activity has . 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 ...
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Contents
SUPPLEMENT TO APPENDIX 3 | 3 |
Problems | 6 |
An Algorithm for the Assignment Problem | 18 |
Copyright | |
57 other sections not shown
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Common terms and phrases
activity additional algorithm allocation allowable amount apply assignment basic solution basic variable BF solution bound boundary calculations called capacity changes coefficients column complete Consider constraints construct corresponding cost CPF solution demand described determine direction distribution dual problem entering equal equations estimates example feasible FIGURE final flow problem Formulate 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 resource respective resulting revised Select shown shows side simplex method simplex tableau slack solve step supply Table tableau tion unit values weeks Wyndor Glass zero
Bibliographic information
| Title | Introduction to Operations Research McGraw-Hill International Editions 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 | Pennsylvania State University |
| Digitized | 26 Aug 2009 |
| ISBN | 0071181636, 9780071181631 |
| Length | 1214 pages |
| Export Citation | BiBTeX EndNote RefMan |