Introduction to Operations ResearchCD-ROM contains: Student version of MPL Modeling System and its solver CPLEX -- MPL tutorial -- Examples from the text modeled in MPL -- Examples from the text modeled in LINGO/LINDO -- Tutorial software -- Excel add-ins: TreePlan, SensIt, RiskSim, and Premium Solver -- Excel spreadsheet formulations and templates. |
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Page 442
... Figure 9.20 shows the incremental effect on costs of adding arc B → A with flow 0 to the initial feasible spanning tree given in Fig . 9.17 . Adding this arc creates the undi- FIGURE 9.20 [ 40 ] [ -30 ] The incremental effect on costs ...
... Figure 9.20 shows the incremental effect on costs of adding arc B → A with flow 0 to the initial feasible spanning tree given in Fig . 9.17 . Adding this arc creates the undi- FIGURE 9.20 [ 40 ] [ -30 ] The incremental effect on costs ...
Page 504
... FIGURE 10.14 This Excel template in your OR Courseware enables efficient application of the PERT / Cost procedure , as illustrated here for the beginning of Reliable's 8 6 = D6 / C6 = IF ( AND ( G5 > E6 , G5 < = E6 + C6 ) , F6 , 0 ) 7 ...
... FIGURE 10.14 This Excel template in your OR Courseware enables efficient application of the PERT / Cost procedure , as illustrated here for the beginning of Reliable's 8 6 = D6 / C6 = IF ( AND ( G5 > E6 , G5 < = E6 + C6 ) , F6 , 0 ) 7 ...
Page 1161
... FIGURE A2.4 A strictly concave function . x f ( x ) A Χ FIGURE A2.5 FIGURE A2.6 A function that is neither convex nor concave . x creasing and increasing so the second derivative fluctuates between being negative and positive . CONVEX ...
... FIGURE A2.4 A strictly concave function . x f ( x ) A Χ FIGURE A2.5 FIGURE A2.6 A function that is neither convex nor concave . x creasing and increasing so the second derivative fluctuates between being negative and positive . CONVEX ...
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Introduction to Operations Research Frederick S. Hillier,Gerald J. Lieberman No preview available - 2001 |
Common terms and phrases
activity algebraic algorithm allowable range artificial variables b₂ basic solution c₁ c₂ changes coefficients column Consider the following cost Courseware CPLEX decision variables dual problem dual simplex method dynamic programming entering basic variable estimates example feasible region feasible solutions final simplex tableau final tableau following problem formulation functional constraints Gaussian elimination given goal programming graphical identify increase initial BF solution integer iteration leaving basic variable linear programming model linear programming problem LINGO LP relaxation lution Maximize Z maximum flow problem Minimize needed node nonbasic variables nonnegativity constraints objective function obtained optimal solution optimality test parameters path plant presented in Sec primal problem Prob procedure range to stay resource right-hand sides sensitivity analysis shadow prices shown slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion unit profit values weeks Wyndor Glass x₁ zero