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Operations Research Problem Solver
James R. Ogden, "Operations Research Problem Solver"
Prentice Hall & IBD | 1987 | ISBN: 0878915486 | 1088 pages | Djvu | 13,1 MB
An exceptionally comprehensive treatment of this subject aimed at students in business, management, science, and engineering. Topics include linear, non-linear, integer, and dynamic programming, network analysis, quadratic and separable programming, inventory control, probabilistic methods, and many other topics. Numerous applications.
1 GRAPHICAL SOLUTIONS TO LINEAR
OPERATIONS RESEARCH PROBLEMS 1
2 LINEAR PROGRAMMING LP - INTRODUCTION 39
Problem Formulation and Applications of LP 39
Convexity 74
Canonical and Standard Forms 77
Basic Feasible Solution 88
Finding Duals 107
3 LINEAR PROGRAMMING - THE SIMPLEX
METHOD 120
Row Operations 120
Simplex Method 129
Big-M Method 200
Two Phase Method 216
4 LINEAR PROGRAMMING - ADVANCED
METHODS 232
Duality 232
Dual Simplex Method 243
Revised Simplex Method 258
Primal-Dual Method 290
Sensitivity Analysis 296
Parametric Programming 323
Decomposition Method 340
Goal Programming 356
5 THE TRANSPORTATION AND ASSIGNMENT
PROBLEM 374
Least Cost Method 374
North-West Corner Method 381
Vogel's Approximation Method 398
Stepping Stone Method 412
Method of Multipliers 434
Assignment Problem 458
6 INTEGER PROGRAMMING 478
Problem Formulation 478
Simplex Method 488
Branch and Bound Method 494
Cutting Plane Method 524
Knapsack Problem 570
Traveling Salesman Problem 573
7 DYNAMIC PROGRAMMING 580
Recursions 580
Deterministic DP 586
Probabilistic DP 637
8 NET ORK ANALYSIS AND SCHEDULING 643
Arrow Diagrams 643
Shortest Path(s) 646
Minimal Spanning Tree 667
Maximum Flow 672
Critical Path, CPM ,PERT 688
Scheduling 709
9 NONLINEAR PROGRAMMING - UNCONSTRAINED
OPTIMIZATION 727
Convexity, Concavity 727
Derivatives 732
Newton-Raphson Method 739
One Dimensional Search Without Using
Derivatives 743
One Dimensional Search Using Derivatives 755
Multidimensional Search Without Using
Derivatives 757
Multidimensional Search Using Deriviatives 768
Methods Using Conjugate Directions 783
1 0 NONLINEAR PROGRAMMING- CONSTRAINED
OPTIMIZATION 790
Problem Formulation 790
Graphical Solutions 799
Derivatives 802
Fritz-John Optimality Conditions 808
Lagrange Multipliers 813
Lagrangian Duality 836
Kuhn -Tucher Optimality Conditions 843
Cutting Plane, Penalty and Barrier Function
Methods 855
Sequential Unconstrained Minimization Technique
(SUMT) 869
Methods of Feasible Directions 876
11 QUADRATIC, GEOMETRIC, FRACTIONAL AND
SEPARABLE PROGRAMMING 889
Quadratic Programming 889
Geometric Programming 923
Fractional Programming 931
Separable Programming 938
12 PRODUCTION PLANNING AND INVENTORY
CONTROL 943
Single-item Models with Deterministic-Static
Demand 943
Multiple-item Models with Deterministic-Static
Demand 956
Quantity Discounts 963
Single-item Models with Stochastic-Static Demand 970
Periodic and Continuous Review Models with
Stochastic-Static Demand 981
Lot-Size, Problems with Dynamic Demand and Single
Facility 991
Multiperiod Models 996
13 PROBABiliSTIC METHODS: QUEUING THEORY,
GAME THEORY AND MARKOV CHAINS 1001
Queing Models 1001
Game Theory 1008
Markov Chains 1039
INDEX 1066
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