Inventory Control: Models and Methods

by Dieter Bartmann, Martin F. Bach

Overview

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 variousCIM concepts can be realized. This is specially relevant for computer-based sk management. Both 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. Two aspects are given importance:1) the necessary mathematical derivations are completely explained in detail so that the reader will be able to optimally handle a given situation with the help of the methods learned in this book, and 2) aside from the models, strong emphasis is given on numerical methods. Suitable algorithms are thoroughly explained for the more important cases.

Product Details

ISBN-13:	9783540558200
Publisher:	Springer Berlin Heidelberg
Publication date:	10/12/1992
Series:	Lecture Notes in Economics and Mathematical Systems , #388
Edition description:	Softcover reprint of the original 1st ed. 1992
Pages:	252
Product dimensions:	6.69(w) x 9.61(h) x 0.02(d)

Table of Contents

1: Deterministic Inventory Models.- § 1 Introduction.- § 2 Economic Order Quantity (EOQ).- § 3 Costs and Sensitivity.- § 4 RM-Systems (ABC Analysis).- § 5 Product-Mix Decision.- § 6 Estimating the Rate of Demand.- § 7 Profit Maximization.- § 8 Inventory Evaluation.- § 9 Quantity Discount.- §10 Collective or Single Order—.- §11 Optimal Sking in Serial Production.- §12 Sk-outs Allowed.- §13 Discrete Lot Sizes.- §14 Consideration of Shelf Space in Inventory.- §15 Budget Restriction.- §16 Known but Varying Demand.- §17 Fixed Delivery Period—.- §18 Safety Sk with Shastic Delivery Time (including Just-in-Time Production).- 2: The Wilson Model with Poisson Demand.- §19 Poisson Process.- §20 General Remarks on Chance.- §21 Interest, Continuous Interest, Present Value.- §22 Inventory with Poisson Demand and Immediate Delivery.- §23 Poisson Demand, No Discounting.- §24 Recurrent Process.- §25 Proof of Optimality.- 3: Shastic Single Period Models.- §26 The Newsboy Problem.- §27 Evaluation of $$ {\text{P}}\left( {\text{x}} \right){\text{ = }}\frac{{\text{g}}}{{{\text{h + g}}}} $$.- §28 Temporal Structure of the Newsboy Problem.- §29 Exact Formulation.- §30 Overbooking.- 4: Shastic Models with Continuous Review.- §31 Method of State Probabilities.- §32 Poisson Demand, Exponential Delivery Time.- §33 Poisson Demand, Fixed Delivery Time—.- §34 Poisson Demand, Shastic Delivery Time, Single Order.- §35 Poisson Demand, Shastic Delivery Time, Multiple Orders.- 5: Shastic Models with Periodic Review.- §36 The Arrow-Harris-Marschak Model.- §37 The AHM-Model in the Stationary Case.- §38 Standardization.- §39 Exponentially Distributed Demand.- §40 Optimality of the (s,S)-Policy.- §41 Elimination of Proportional OrderingCosts with Finite Planning Horizon.- §42 Bounds for (sn,Sn).- §43 Optimality of the (s,S)-Policy in the Stationary Model.- §44 A Method for Computing s and S.- §45 AHM-Model with Delivery Time.- §46 Auorrelated Demand.- §47 Inventory with Forecasting.- 6: Numerical Methods.- §48 Value Iteration.- §49 Policy Iteration.- §50 Bisection Method and Dynamic Programming.- §51 Computation of Optimal (s,S)-Policies according to Federgruen and Zipkin.- Closing Remarks.- Literature.