LEADER 05291nam 2200685 a 450 001 9910457591703321 005 20200520144314.0 010 $a6613289833 010 $a1-283-28983-0 010 $a9786613289834 010 $a1-60750-770-6 035 $a(CKB)2550000000050104 035 $a(EBL)784613 035 $a(OCoLC)756484747 035 $a(SSID)ssj0000830603 035 $a(PQKBManifestationID)11463860 035 $a(PQKBTitleCode)TC0000830603 035 $a(PQKBWorkID)10820325 035 $a(PQKB)11513836 035 $a(MiAaPQ)EBC784613 035 $a(Au-PeEL)EBL784613 035 $a(CaPaEBR)ebr10506347 035 $a(CaONFJC)MIL328983 035 $a(EXLCZ)992550000000050104 100 $a20110706d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDynamic programming and inventory control$b[electronic resource] /$fAlain Bensoussan 210 $aWashington, D.C. $cIOS Press$d2011 215 $a1 online resource (384 p.) 225 1 $aStudies in probability, optimization, and statistics,$x0928-3986 ;$vv. 3 300 $aDescription based upon print version of record. 311 $a1-60750-769-2 320 $aIncludes bibliographical references. 327 $aTitle Page; Contents; Introduction; Static Problems; Newsvendor Problem; EOQ Model; Price Considerations; Several Products With Scarce Resource; Continuous Production of Several Products; Lead Time; Random Demand Rate: Unsatisfied Demand Lost; Markov Chains; Notation; Chapman-Kolmogorov Equations; Stopping Times; Solution of Analytic Problems; Ergodic Theory; Examples; Optimal Control in Discrete Time; Deterministic Case; Stochastic Case: General Formulation; Functional Equation; Probabilistic Interpretation; Uniqueness; Inventory Control Without Set Up Cost; No Shortage Allowed. 327 $aBacklog AllowedDeterministic Case; Ergodic Control in Discrete Time; Finite Number of States; Ergodic Control of Inventories With no Shortage; Ergodic Control of Inventories With Backlog; Deterministic Case; Optimal Stopping Problems; Dynamic Programming; Interpretation; Penalty Approximation; Ergodic Case; Impulse Control; Description of the Model; Study of the Functional Equation; Another Formulation; Probabilistic Interpretation; Inventory Control With Set Up Cost; Deterministic Model; Inventory Control With Fixed Cost and no Shortage; Inventory Control With Fixed Cost and Backlog 327 $aErgodic Control of Inventories With Set Up CostDeterministic Case; Ergodic Inventory Control With Fixed Cost and no Shortage; Ergodic Inventory Control With Fixed Cost and Backlog; Dynamic Inventory Models With Extensions; Capacitated Inventory Management; Multi Supplier Problem; Inventory Control With Markov Demand; Introduction; No Backlog and no Set-Up Cost; Backlog and no Set Up Cost; No Backlog and Set Up Cost; Backlog and Set Up Cost; Learning Process; Lead Times and Delays; Introduction; Models With Inventory Position; Models Without Inventory Position; Information Delays 327 $aErgodic Control With Information DelaysContinuous Time Inventory Control; Deterministic Model; Ergodic Problem; Continuous Rate Delivery; Lead Time; Newsvendor Problem; Poisson Demand; Ergodic Case for the Poisson Demand; Poisson Demand With Lead Time; Ergodic Approach for Poisson Demand With Lead Time; Poisson Demand With Lead Time: Use of Inventory Position; Ergodic Theory for Lead Time With Inventory Position; Inventory Control With Diffusion Demand; Introduction; Problem Formulation; s, S Policy; Solving the Q.V.I; Ergodic Theory; Probabilistic Interpretation 327 $aMean-Reverting Inventory ControlIntroduction; Description of the Problem; s, S Policy; Solution of the Q.V.I; Two Band Impulse Control Problems; Introduction; The Problem; a, A, b, B Policy; Solution of the Q.V.I.; Computational Aspects; Bibliography; Appendix A; Proof of Lemmas; Proof of Measurable Selection; Extension to U non Compact; Compactness Properties 330 $aThis book presents a unified theory of dynamic programming and Markov decision processes and its application to a major field of operations research and operations management: inventory control. Models are developed in discrete time as well as in continuous time. For continuous time, this book concentrates only on models of interest to inventory control. For discrete time, the focus is mainly on infinite horizon models. The book also covers the difference between impulse control and continuous control. Ergodic control is considered in the context of impulse control, and some simple rules curre 410 0$aStudies in probability, optimization, and statistics ;$vv. 3. 606 $aDynamic programming 606 $aInventory control$xData processing 606 $aMarkov processes 608 $aElectronic books. 615 0$aDynamic programming. 615 0$aInventory control$xData processing. 615 0$aMarkov processes. 676 $a500 700 $aBensoussan$b Alain$014378 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910457591703321 996 $aDynamic programming and inventory control$91976489 997 $aUNINA