Introduction to Operations Research, Volume 1-- This classic, field-defining text is the market leader in Operations Research -- and it's now updated and expanded to keep professionals a step ahead -- Features 25 new detailed, hands-on case studies added to the end of problem sections -- plus an expanded look at project planning and control with PERT/CPM -- A new, software-packed CD-ROM contains Excel files for examples in related chapters, numerous Excel templates, plus LINDO and LINGO files, along with MPL/CPLEX Software and MPL/CPLEX files, each showing worked-out examples |
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Page 215
Writing this second tableau as the matrix product shown for iteration 1 ( namely , the corresponding matrix times rows 1 to 3 of the initial tableau ) then yields 1 0 0 0 1 O 1 0 0 4 1 Final rows 1-3 = 0 1 1 0 0 HO 0 2 0 1 0 12 0 -1 3 2 ...
Writing this second tableau as the matrix product shown for iteration 1 ( namely , the corresponding matrix times rows 1 to 3 of the initial tableau ) then yields 1 0 0 0 1 O 1 0 0 4 1 Final rows 1-3 = 0 1 1 0 0 HO 0 2 0 1 0 12 0 -1 3 2 ...
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 397
8.2 to obtain an initial BF solution , and time how long you spend for each one . Compare both these times and the values of the objective function for these solutions . C ( b ) Obtain an optimal solution for this problem .
8.2 to obtain an initial BF solution , and time how long you spend for each one . Compare both these times and the values of the objective function for these solutions . C ( b ) Obtain an optimal solution for this problem .
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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 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 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 | 0072416181, 9780072416183 |
| Length | 1214 pages |
| Export Citation | BiBTeX EndNote RefMan |