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Inventory Control : Models and Methods : Lecture Notes in Computer Science - Dieter Bartmann

Inventory Control : Models and Methods

Lecture Notes in Computer Science

Paperback ISBN: 9783540558200
Number Of Pages: 252

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Experts in operations research and developers of software application systems have been treading separate paths for many years. It is urgently necessary to reset this course so that the demanding requirements of various CIM concepts can be realized. This is especially relevant for computer-based stock management. The authors, with a number of years of practical experience behind them, have written this book with this objective in mind. The book shows how modern inventory control can be rationally structured with the help of OR. The necessary mathematical derivations are explained in detail so that the reader will be able to handle a given situation optimally with the help of the methods learned. Aside from the models, strong emphasis is placed on numerical methods. Suitable algorithms are thoroughly explained for the more important cases.

Foreword
Overview
Deterministic Inventory Models
Introductionp. 1
Economic Order Quantity (EOQ)p. 2
Costs and Sensitivityp. 8
RM-Systems (ABC Analysis)p. 12
Product-Mix Decisionp. 13
Estimating the Rate of Demandp. 14
Profit Maximizationp. 18
Inventory Evaluationp. 19
Quantity Discountp. 22
Collective or Single Order?p. 25
Optimal Stocking in Serial Productionp. 28
Stock-outs Allowedp. 30
Discrete Lot Sizesp. 33
Consideration of Shelf Space in Inventoryp. 35
Budget Restrictionp. 38
Known but Varying Demandp. 42
Fixed Delivery Period [gamma]p. 46
Safety Stock with Stochastic Delivery Time (including Just-in-Time Production)p. 47
The Wilson Model With Poisson Demand
Poisson Processp. 56
General Remarks on Chancep. 66
Interest, Continuous Interest, Present Valuep. 69
Inventory with Poisson Demand and Immediate Deliveryp. 72
Poisson Demand, No Discountingp. 79
Recurrent Processp. 83
Proof of Optimalityp. 88
Stochastic Single Period Models
The Newsboy Problemp. 91
Evaluation of P(x) = [actual symbol not reproducible]p. 95
Temporal Structure of the Newsboy Problemp. 100
Exact Formulationp. 104
Overbookingp. 111
Stochastic Models With Continuous Review
Method of State Probabilitiesp. 114
Poisson Demand, Exponential Delivery Timep. 119
Poisson Demand, Fixed Delivery Time [gamma]p. 128
Poisson Demand, Stochastic Delivery Time, Single Orderp. 137
Poisson Demand, Stochastic Delivery Time, Multiple Ordersp. 142
Stochastic Models With Periodic Review
The Arrow-Harris-Marschak Modelp. 147
The AHM-Model in the Stationary Casep. 151
Standardizationp. 153
Exponentially Distributed Demandp. 155
Optimality of the (s,S)-Policyp. 161
Elimination of Proportional Ordering Costs with Finite Planning Horizonp. 170
Bounds for (s[subscript n],S[subscript n])p. 174
Optimality of the (s,S)-Policy in the Stationary Modelp. 186
A Method for Computing s and Sp. 188
AHM-Model with Delivery Timep. 200
Autocorrelated Demandp. 208
Inventory with Forecastingp. 211
Numerical Methods
Value Iterationp. 218
Policy Iterationp. 230
Bisection Method and Dynamic Programmingp. 236
Computation of Optimal (s,S)-Policies according to Federgruen and Zipkinp. 241
Closing Remarksp. 245
Literaturep. 246
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540558200
ISBN-10: 3540558209
Series: Lecture Notes in Computer Science
Audience: General
Format: Paperback
Language: English
Number Of Pages: 252
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 24.41 x 16.99  x 1.47
Weight (kg): 0.45