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 317
7.3 Summary of the Parametric Linear Programming Procedure for Systematic
Changes in the bi Parameters. 1. Solve the problem with 6 = 0 by the simplex
method. 2. Use the sensitivity analysis procedure (Case 1, Sec. 6.7) to introduce
the ...
7.3 Summary of the Parametric Linear Programming Procedure for Systematic
Changes in the bi Parameters. 1. Solve the problem with 6 = 0 by the simplex
method. 2. Use the sensitivity analysis procedure (Case 1, Sec. 6.7) to introduce
the ...
Page 369
The procedure for constructing an initial BF solution selects the m + n - 1 basic
variables one at a time. After each selection, a value that will satisfy one
additional constraint (thereby eliminating that constraint's row or column from
further ...
The procedure for constructing an initial BF solution selects the m + n - 1 basic
variables one at a time. After each selection, a value that will satisfy one
additional constraint (thereby eliminating that constraint's row or column from
further ...
Page 628
Applying this procedure to the functional constraint in the above example flows
as follows: The constraint is 2x1 + 3x2 = 4 (a1 = 2, a2 = 3, b = 4). . S = 2 + 3 = 5. 2.
al satisfies S < b + |al |, since 5 & 4 + 2. Also a2 satisfies S < b + las!. since 5 < 4 +
...
Applying this procedure to the functional constraint in the above example flows
as follows: The constraint is 2x1 + 3x2 = 4 (a1 = 2, a2 = 3, b = 4). . S = 2 + 3 = 5. 2.
al satisfies S < b + |al |, since 5 & 4 + 2. Also a2 satisfies S < b + las!. since 5 < 4 +
...
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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 perform 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 |