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The term inventory-production theory is not well defined. It com­ prises e. g. such models like cash balance models, production smoothing models and pure inventory models. We shall here mainly be concerned with stochastic dynamic problems and shall give exact definitions in the next section. Most of our work will concentrate on cash balance models. However, production smoothing situations and pure inventory problems will also be investigated. Since we are faced in principle with dynamic stochastic situa­ tions a dynamic programming approach would be appropriate. This approach, however, due to computational restraints, is limited to only but the simplest models. Therefore, in practice, one ruduces stochastics just in taking forecasts of demand and then treating the problem as a deterministic optimization problem. In addition one often introduces certain safety stocks to safeguard the system from possible forecasting errors. In general, this proce­ dure is suboptimal. However, there exists one particular situa­ tion when a separation in a forecasting procedure and a subse­ quent optimization of the remaining deterministic model is not suboptimal. This is known as the linear-quadratic model, i. e. a model having linear system equations and a quadratic cost crite­ rion. For this type of model H. A. Simon ~3J and later H. Theil [25J have shown that the above separation property holds. In fact, Simon's and Theil's results are nothing else but what has later and more generally become known to control engineers as Kalman's famous separation principle.

Mathematical control systems --- Inventory control. Purchasing management --- INVENTORY CONTROL -- 518.1 --- PRODUCTION PLANNING -- 518.1 --- Business & Economics --- Economic Theory --- 519.874 --- Theory of supplies and stock control. Inventory theory. Models of storage. Models of replacement --- 519.874 Theory of supplies and stock control. Inventory theory. Models of storage. Models of replacement

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While most texts address only the classical methods of queuing theory, A Course on Queuing Theory also covers fundamentals, such as Markovian and regenerative non-Markovian models, as well as computational methods, statistical inference, and simulation. The authors integrate different models to emphasize the Markovian structure and present detailed descriptions of network queues, discrete time queues, and optimization as well as advanced topics, including combinatorial treatments in transient analysis, general queues, duality in queues, and new computational methods. Each self-contained chapter features a discussion section that summarizes material and makes connections within the text.

519.874 --- Theory of supplies and stock control. Inventory theory. Models of storage. Models of replacement --- 519.874 Theory of supplies and stock control. Inventory theory. Models of storage. Models of replacement --- Queuing theory --- 519.8 --- Erlang traffic formula --- Queueing theory --- Theory of queues --- Waiting-line theory --- Production scheduling --- Stochastic processes --- 519.8 Operational research --- Operational research --- Operational research. Game theory

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Inventory control. Purchasing management --- Industrial procurement --- Inventories --- Data processing --- 519.874 --- -Inventories --- -Stock in trade --- Stock-taking --- Inventory control --- Buyer-supplier relations --- Buying, Industrial --- Industrial buying --- Industrial equipment --- Industrial purchasing --- Procurement, Industrial --- Purchasing, Industrial --- Supplier-buyer relations --- Industrial management --- Purchasing --- Theory of supplies and stock control. Inventory theory. Models of storage. Models of replacement --- -Theory of supplies and stock control. Inventory theory. Models of storage. Models of replacement --- 519.874 Theory of supplies and stock control. Inventory theory. Models of storage. Models of replacement --- -519.874 Theory of supplies and stock control. Inventory theory. Models of storage. Models of replacement --- Stock in trade --- Industrial procurement - Data processing --- Inventories - Data processing

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Sales forecasting --- Inventories --- 519.874 --- 658.787 --- 658.8 --- Stock in trade --- Stock-taking --- Inventory control --- Forecasting, Sales --- Sales --- Sales estimates --- Business forecasting --- Theory of supplies and stock control. Inventory theory. Models of storage. Models of replacement --- Stock control. Stocktaking. Inventories. Stock records --- Marketing. Sales. Selling. Distribution --- Forecasting --- Sales forecasting. --- Inventories. --- 658.8 Marketing. Sales. Selling. Distribution --- 658.787 Stock control. Stocktaking. Inventories. Stock records --- 519.874 Theory of supplies and stock control. Inventory theory. Models of storage. Models of replacement

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519.876.5 --- 658.787 --- 519.874 --- 681.3*I6 --- Numerical imitation of systems. Simulation --- Stock control. Stocktaking. Inventories. Stock records --- Theory of supplies and stock control. Inventory theory. Models of storage. Models of replacement --- Simulation and modeling (Computing methodologies)--See also {681.3*G3} --- 681.3*I6 Simulation and modeling (Computing methodologies)--See also {681.3*G3} --- 519.874 Theory of supplies and stock control. Inventory theory. Models of storage. Models of replacement --- 658.787 Stock control. Stocktaking. Inventories. Stock records --- 519.876.5 Numerical imitation of systems. Simulation