دانلود کتاب Dynamic programming and inventory control

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Contents......Page 6
Introduction......Page 10
Newsvendor Problem......Page 12
EOQ Model......Page 13
Price Considerations......Page 14
Continuous Production of Several Products......Page 16
Lead Time......Page 17
Random Demand Rate: Unsatisfied Demand Lost......Page 20
Notation......Page 22
Chapman-Kolmogorov Equations......Page 23
Solution of Analytic Problems......Page 24
Ergodic Theory......Page 27
Examples......Page 30
Deterministic Case......Page 34
Stochastic Case: General Formulation......Page 35
Functional Equation......Page 39
Probabilistic Interpretation......Page 42
Uniqueness......Page 46
No Shortage Allowed.......Page 50
Backlog Allowed......Page 55
Deterministic Case......Page 60
Finite Number of States......Page 62
Ergodic Control of Inventories With no Shortage......Page 68
Ergodic Control of Inventories With Backlog......Page 72
Deterministic Case......Page 75
Dynamic Programming......Page 76
Interpretation......Page 78
Penalty Approximation......Page 81
Ergodic Case......Page 83
Description of the Model......Page 88
Another Formulation......Page 90
Probabilistic Interpretation......Page 95
Deterministic Model......Page 98
Inventory Control With Fixed Cost and no Shortage......Page 103
Inventory Control With Fixed Cost and Backlog......Page 123
Deterministic Case......Page 142
Ergodic Inventory Control With Fixed Cost and no Shortage......Page 144
Ergodic Inventory Control With Fixed Cost and Backlog......Page 153
Capacitated Inventory Management......Page 164
Multi Supplier Problem......Page 168
No Backlog and no Set-Up Cost......Page 178
Backlog and no Set Up Cost......Page 192
No Backlog and Set Up Cost......Page 203
Backlog and Set Up Cost......Page 209
Learning Process......Page 216
Models With Inventory Position......Page 220
Models Without Inventory Position......Page 227
Information Delays......Page 236
Ergodic Control With Information Delays......Page 241
Deterministic Model......Page 256
Ergodic Problem......Page 260
Continuous Rate Delivery......Page 261
Lead Time......Page 262
Newsvendor Problem......Page 263
Poisson Demand......Page 264
Ergodic Case for the Poisson Demand......Page 272
Poisson Demand With Lead Time......Page 274
Ergodic Approach for Poisson Demand With Lead Time......Page 281
Poisson Demand With Lead Time: Use of Inventory Position......Page 288
Ergodic Theory for Lead Time With Inventory Position......Page 290
Problem Formulation......Page 296
s, S Policy......Page 298
Solving the Q.V.I......Page 305
Ergodic Theory......Page 307
Probabilistic Interpretation......Page 312
Description of the Problem......Page 334
s, S Policy......Page 336
Solution of the Q.V.I......Page 348
The Problem......Page 350
a, A, b, B Policy......Page 352
Solution of the Q.V.I.......Page 360
Computational Aspects......Page 362
Bibliography......Page 370
Proof of Lemmas......Page 372
Proof of Measurable Selection......Page 373
Extension to U non Compact......Page 377
Compactness Properties......Page 378