Inventory Control
Models and Methods
Published on 12. October 1992
Book
Paperback/Softback
XVI, 252 pages
978-3-540-55820-0 (ISBN)
Description
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
stock 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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1992
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
6 s/w Abbildungen
XVI, 252 p. 6 illus.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 16 mm
Weight
482 gr
ISBN-13
978-3-540-55820-0 (9783540558200)
DOI
10.1007/978-3-642-87146-7
Schweitzer Classification
Content
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 Stocking in Serial Production.- §12 Stock-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 Stock with Stochastic 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: Stochastic 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: Stochastic Models with Continuous Review.- §31 Method of State Probabilities.- §32 Poisson Demand, Exponential Delivery Time.- §33 Poisson Demand, Fixed Delivery Time ?.- §34 Poisson Demand, Stochastic Delivery Time, Single Order.- §35 Poisson Demand, Stochastic Delivery Time, Multiple Orders.- 5: Stochastic 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 Autocorrelated 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.