Operations Research: An IntroductionAppropriate for a variety of junior and senior undergraduate and first year graduate courses in operations research. Among these courses are Industrial Engineering, Business Administration, Statistics, Computer Science, and Mathematics. Major revision is designed to meet the needs of beginning through advanced students with an emphasis placed on the formulation and applications aspects. Provides balanced coverage of theory, applications and computations of operations research techniques. Numerical examples are main vehicle for explaining new ideas with each numeric example followed by a set of problems. TORA and SIMNET software included in text. More than 1,000 problems. |
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Page 222
... SHORTEST ROUTE PROBLEM The shortest - route problem determines the shortest route between a source and destination in a transportation network . The same model can be used to model other situations as well , as illustrated by the ...
... SHORTEST ROUTE PROBLEM The shortest - route problem determines the shortest route between a source and destination in a transportation network . The same model can be used to model other situations as well , as illustrated by the ...
Page 227
... shortest - route model , and use TORA to find the optimum solution . 5. Knapsack Problem . A hiker has a 5 - ft3 backpack and needs to decide on the most valuable items to take on the ... Shortest Route Problem 227 Shortest-Route Algorithms.
... shortest - route model , and use TORA to find the optimum solution . 5. Knapsack Problem . A hiker has a 5 - ft3 backpack and needs to decide on the most valuable items to take on the ... Shortest Route Problem 227 Shortest-Route Algorithms.
Page 411
... shortest ( cumulative ) distance to node 5 as Shortest distance = to node 5 min i = 2,3,4 { ( Shortest distance` to node i + Distance from node i to node 5 , = min 7 + 12 8+ 8 = 19 5+ = 16 = 12 Similarly , for node 6 we have Shortest ...
... shortest ( cumulative ) distance to node 5 as Shortest distance = to node 5 min i = 2,3,4 { ( Shortest distance` to node i + Distance from node i to node 5 , = min 7 + 12 8+ 8 = 19 5+ = 16 = 12 Similarly , for node 6 we have Shortest ...
Contents
OVERVIEW OF OPERATIONS RESEARCH | 1 |
A | 3 |
INTRODUCTION TO LINEAR PROGRAMMING | 11 |
Copyright | |
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A₁ arrival artificial variable associated assuming b₁ basic solution basic variables Basic X1 X2 C₁ cars changes column computations condition constraints customers D₁ decision problem defined demand Determine the optimal distribution dual prices dual problem entering variable equations Example exponential exponential distribution exterior paint extreme point feasible solution Figure following LP following table given goal programming hour increase infeasible integer inventory iteration leaving variable linear program LP model machine Markov chain matrix Maximize z maximum Minimize minimum minutes node nonbasic variables nonnegative objective coefficients objective function objective value operation optimum solution P₁ period Poisson distribution primal probability Problem set production queue queueing models R₁ R₂ random variable raw material represent result right-hand side s₁ Section sensitivity analysis shows simplex algorithm simplex method simulation slack solution space Solve Step subject to Maximize Suppose tion TORA TOYCO vector x₁ y₁ yields z-row zero