Introduction to Operations ResearchMethodology; Fundamentals; Techniques: mathematical programming; Techniques: probalistic models;Techniques: advanced topics in mathematical programming. |
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Page 162
Frederick S. Hillier, Gerald J. Lieberman. The corresponding dual problem is to minimize Zy4y + 672 + 1843 , = subject to and Yı +33 3 Y2 + 2y35 Yi ≥ 0 for i = 1 , 2 , 3 . A dual problem also exists for any linear programming problem ...
Frederick S. Hillier, Gerald J. Lieberman. The corresponding dual problem is to minimize Zy4y + 672 + 1843 , = subject to and Yı +33 3 Y2 + 2y35 Yi ≥ 0 for i = 1 , 2 , 3 . A dual problem also exists for any linear programming problem ...
Page 163
... problem and the dual problem.24 Then there exists a finite optimal solution for both problems and , furthermore , Z * = Z. Restating the Dual Theorem verbally , the maximum feasible value of the primal objective function equals the ...
... problem and the dual problem.24 Then there exists a finite optimal solution for both problems and , furthermore , Z * = Z. Restating the Dual Theorem verbally , the maximum feasible value of the primal objective function equals the ...
Page 198
... problem model also fits certain problems arising in some entirely different context . For this reason , it will be ... problem whose mathematical model has this structure can be solved by the efficient procedure described in this section ...
... problem model also fits certain problems arising in some entirely different context . For this reason , it will be ... problem whose mathematical model has this structure can be solved by the efficient procedure described in this section ...
Contents
Introduction 32 | 3 |
Planning an Operations Research Study | 12 |
Probability Theory 223 | 23 |
Copyright | |
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allocation assigned assumed b₁ basic feasible solution basic solution calling units coefficient concave function Consider constraints convex convex function convex set corresponding decision variables decision-maker demand denote density function discrete random variable dual problem entering basic variable estimate event example expected value exponential distribution formulation given Hence illustrate integer interval inventory iteration leaving basic variable linear programming problem Markov chain mathematical matrix maximize minimize mixed strategy node non-basic variables non-negative normal distribution objective function obtained operations research optimal policy optimal solution optimal value original parameter payoff period player Poisson input possible primal problem probability distribution queueing model queueing system queueing theory random numbers sample space selected server service facility set of equations simplex method simulation slack variables solution procedure solve steady-state Suppose technique Theorem tion total cost variance waiting x₁ zero