## 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 124

Table 4.3 compares the initial system of equations for the

problem in algebraic form ( on the left ) and in tabular form ( on the right ) , where

the table on the right is called a simplex tableau . The basic variable for each ...

Table 4.3 compares the initial system of equations for the

**Wyndor Glass**Co.problem in algebraic form ( on the left ) and in tabular form ( on the right ) , where

the table on the right is called a simplex tableau . The basic variable for each ...

Page 127

Frederick S. Hillier, Gerald J. Lieberman. TABLE 4.6 First two simplex tableaux

for the

Iteration Eq . Z X2 X3 X5 Z ( 0 ) 1 -3 0 0 0 X3 1 1 0 -5 0 2 2 0 0 0 0 0 0 0 4 12 18

X4 ( 2 ) ...

Frederick S. Hillier, Gerald J. Lieberman. TABLE 4.6 First two simplex tableaux

for the

**Wyndor Glass**Co. problem Coefficient of : Basic Variable Right SideIteration Eq . Z X2 X3 X5 Z ( 0 ) 1 -3 0 0 0 X3 1 1 0 -5 0 2 2 0 0 0 0 0 0 0 4 12 18

X4 ( 2 ) ...

Page 197

The problem shown is identical to the

same objective function ) except for the enX2 FIGURE 5.3 Modification of the

for ...

The problem shown is identical to the

**Wyndor Glass**Co. example ( including thesame objective function ) except for the enX2 FIGURE 5.3 Modification of the

**Wyndor Glass**Co. problem that violates both linear programming and Property 3for ...

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### Common terms and phrases

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 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