## 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 69

Finally , the value of the

other values in column E , it is the sum of products . The equation for cell E8 is =

SUMPRODUCT ( C8 : D8 , C9 : D9 ) . The lower right - hand side of Fig . 3.14

shows ...

Finally , the value of the

**objective function**is entered in cell E8 . Much like theother values in column E , it is the sum of products . The equation for cell E8 is =

SUMPRODUCT ( C8 : D8 , C9 : D9 ) . The lower right - hand side of Fig . 3.14

shows ...

Page 148

Begin with their

Mã4 + Mło . Two - Phase Method : Phase 1 : Phase 2 : Minimize Minimize Z = X4

+ 6 Z = 0.4x1 + 0.5x2 . 0 Because the MX4 and MX terms dominate the 0.4x ...

Begin with their

**objective functions**. Big M Method : Minimize Z = 0.4x1 + 0.5x2 +Mã4 + Mło . Two - Phase Method : Phase 1 : Phase 2 : Minimize Minimize Z = X4

+ 6 Z = 0.4x1 + 0.5x2 . 0 Because the MX4 and MX terms dominate the 0.4x ...

Page 273

Analyzing Simultaneous Changes in

Regardless of whether x ; is a basic or nonbasic variable , the allowable range to

stay optimal for Cj is valid only if this

being ...

Analyzing Simultaneous Changes in

**Objective Function**Coefficients .Regardless of whether x ; is a basic or nonbasic variable , the allowable range to

stay optimal for Cj is valid only if this

**objective function**coefficient is the only onebeing ...

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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