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 214
1 - 1 Rows 1 to 3 of the initial tableau are [ 1 010 01 47 Old rows 1 – 3 = 0 20 10
12 [ 3 2 0 0 1 18 where the third , fourth , and fifth columns ( the coefficients of the
slack variables ) form an identity matrix . Therefore , [ 1 0 0 ] [ 1 0 1 1 0 0 147 ...
1 - 1 Rows 1 to 3 of the initial tableau are [ 1 010 01 47 Old rows 1 – 3 = 0 20 10
12 [ 3 2 0 0 1 18 where the third , fourth , and fifth columns ( the coefficients of the
slack variables ) form an identity matrix . Therefore , [ 1 0 0 ] [ 1 0 1 1 0 0 147 ...
Page 482
5 whenever possible in order to provide some slack in parts of the schedule . If
the start and finish times in Fig . 10 . 6 for a particular activity are later than the
corresponding earliest times in Fig . 10 . 5 , then this activity has some slack in
the ...
5 whenever possible in order to provide some slack in parts of the schedule . If
the start and finish times in Fig . 10 . 6 for a particular activity are later than the
corresponding earliest times in Fig . 10 . 5 , then this activity has some slack in
the ...
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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 |