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考慮生產率依賴於需求和存貨水準的生產存貨模式

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A Production Inventory Model Which Considers the Dependence of Production Rate on Demand and Inventory Level

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This project presents a production inventory model for deteriorating products in which the production rate at any instant depends on the demand and the inventory level. While the demand rate is assumed to decrease exponentially, shortages are allowed and excess demand is backlogged as well. Approximate expressions are obtained for the production scheduling period, maximum inventory level, unfilled order backlog and the total average cost.

Special cases of the model are discussed. In addition, a numerical example is illustrated to show how the theory works. Finally, the sensitivity of these solutions to changes in underlying parameter values is also discussed.

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