## 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 .Page 415

Other Applications Not all applications of the shortest - path problem involve

Other Applications Not all applications of the shortest - path problem involve

**minimizing**the distance traveled from the origin to the destination . ...**Minimize**the total distance traveled , as in the Seervada Park example . 2.Page 713

Consider the following nonlinear programming problem :

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 to check whether ( x1 , x2 ) = ( 1 , 3 ) is an optimal solution .### What people are saying - Write a review

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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