Two aspects are given importance:1) the necessarymathematical derivations are completely explained in detailso that the reader will be able to optimally handle a givensituation with the help of the methods learned in this book,and 2) aside from the models, strong emphasis is given onnumerical methods.

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.

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