Inventory Control Models and Methods
Title:
Inventory Control Models and Methods
ISBN:
9783642871467
Personal Author:
Edition:
1st ed. 1992.
Publication Information New:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992.
Physical Description:
XVI, 252 p. 6 illus. online resource.
Series:
Lecture Notes in Economics and Mathematical Systems, 388
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 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 Ordering Costs 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.
Abstract:
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.
Added Author:
Added Corporate Author:
Language:
English