## 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 200

Now consider the basic feasible solutions . Note that the only requirements for a

solution to be feasible in the augmented form of the problem are that it satisfy the

system of equations and that all the variables be nonnegative . A

...

Now consider the basic feasible solutions . Note that the only requirements for a

solution to be feasible in the augmented form of the problem are that it satisfy the

system of equations and that all the variables be nonnegative . A

**BF solution**is a...

Page 397

8.2 to obtain an initial

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 ...

Page 457

( b ) Use the optimality test to verify that this initial

there are multiple optimal solutions . Apply one iteration of the network simplex

method to find the other optimal

identify ...

( b ) Use the optimality test to verify that this initial

**BF solution**is optimal and thatthere are multiple optimal solutions . Apply one iteration of the network simplex

method to find the other optimal

**BF solution**, and then use these results toidentify ...

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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