Introduction to Operations ResearchMethodology; Fundamentals; Techniques: mathematical programming; Techniques: probalistic models;Techniques: advanced topics in mathematical programming. |
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Page 148
... denote the subscript of the entering basic variable , let a ' , denote its current coefficient in equation i , and let b denote the current right - hand side for this equation ( i = 1 , 2 ,・・・, m ) . Then the upper bound for x , in ...
... denote the subscript of the entering basic variable , let a ' , denote its current coefficient in equation i , and let b denote the current right - hand side for this equation ( i = 1 , 2 ,・・・, m ) . Then the upper bound for x , in ...
Page 229
... denoted by m , is intended to be the most realistic estimate of the time the activity might consume . The optimistic estimate , denoted by a , estimates the time in which the activity can be completed if everything goes exceptionally ...
... denoted by m , is intended to be the most realistic estimate of the time the activity might consume . The optimistic estimate , denoted by a , estimates the time in which the activity can be completed if everything goes exceptionally ...
Page 544
... denote the corresponding dual variables , where y * denotes the optimal value of y ; ( i = 1 , 2 , ... , m ) . Suppose that , in order to initiate the simplex method on the primal problem , artificial slack variables are introduced by ...
... denote the corresponding dual variables , where y * denotes the optimal value of y ; ( i = 1 , 2 , ... , m ) . Suppose that , in order to initiate the simplex method on the primal problem , artificial slack variables are introduced by ...
Contents
Introduction | 3 |
Planning an Operations Research Study | 12 |
Probability Theory | 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 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