## 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

Frederick S. Hillier, Gerald J. Lieberman. Summary of the Parametric Linear

Programming

the problem with ...

Frederick S. Hillier, Gerald J. Lieberman. Summary of the Parametric Linear

Programming

**Procedure**for Systematic Changes in the b ; Parameters . 1. Solvethe problem with ...

Page 369

The

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 basicvariables 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

as follows : The constraint is 2xy + 3x2 54 ( a = 2 , az = 3 , b = 4 ) . 1. S = 2 + 3 = 5

. 2. a , satisfies s < b + la , l , since 5 < 4 + 2. Also az satisfies s < b + | az ) , since 5

...

Applying this

**procedure**to the functional constraint in the above example flowsas follows : The constraint is 2xy + 3x2 54 ( a = 2 , az = 3 , b = 4 ) . 1. S = 2 + 3 = 5

. 2. a , satisfies s < b + la , l , since 5 < 4 + 2. Also az satisfies s < b + | az ) , since 5

...

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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