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 179
Minimize Z = 5,000xı + 7,000x2 , subject to I ( a ) Using the two - phase method ,
work through phase 1 step by step . c ( b ) Use a software package based on the
simplex method to formulate and solve the phase 1 problem . I ( c ) Work through
...
Minimize Z = 5,000xı + 7,000x2 , subject to I ( a ) Using the two - phase method ,
work through phase 1 step by step . c ( b ) Use a software package based on the
simplex method to formulate and solve the phase 1 problem . I ( c ) Work through
...
Page 415
Other Applications Not all applications of the shortest - path problem involve
minimizing the distance traveled from the origin to the destination . In fact , they ...
Minimize the total distance traveled , as in the Seervada Park example . 2.
Minimize ...
Other Applications Not all applications of the shortest - path problem involve
minimizing the distance traveled from the origin to the destination . In fact , they ...
Minimize the total distance traveled , as in the Seervada Park example . 2.
Minimize ...
Page 713
4.6 and then applying the KKT conditions as given in Sec . 13.6 . ) 13.6-13 .
Consider the following nonlinear programming problem : Minimize Z = 2x + x3 ,
subject to ( a ) Obtain the KKT conditions for this problem . ( b ) Use the KKT
conditions ...
4.6 and then applying the KKT conditions as given in Sec . 13.6 . ) 13.6-13 .
Consider the following nonlinear programming problem : Minimize Z = 2x + x3 ,
subject to ( a ) Obtain the KKT conditions for this problem . ( b ) Use the KKT
conditions ...
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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 |