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 0 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 0 0 1 18 1 1 0 ...
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 0 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 0 0 1 18 1 1 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 . 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 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 . For each of the
three ...
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 . For each of the
three ...
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Common terms and phrases
activity additional algorithm alternative amount analysis apply assignment assumed basic variable begin BF solution calculate called changes coefficients column complete Consider constraints Construct corresponding cost CPF solution customers decision demand described determine developed distribution entering equations estimated example expected feasible FIGURE final flow formulation given gives hour identify illustrate increase indicates initial inventory iteration linear programming machine Maximize mean million Minimize month needed node objective function obtained operations optimal optimal solution original parameter path payoff plant player possible presented Prob probability problem procedure profit programming problem queueing respectively resulting shown shows side simplex method solution solve step strategy Table tableau tion transportation unit waiting weeks
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 |