Production-inventory system with finite production rate, stock-dependent demand, and variable holding cost

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Production-inventory system with finite production rate, stock-dependent demand, and variable holding cost

In general, traditional production-inventory systems are based on a number of simplifying – but somewhat unrealistic – assumptions, including constant demand rate, constant holding cost, and instantaneous order replenishment. These assumptions have been individually challenged in numerous variations of production-inventory models. Finite production rate models, such as economic production quant...

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An inventory model with both stock-dependent demand rate and stock-dependent holding cost rate

In this paper, we develop an inventory model under a stock-dependent demand rate and stockdependent holding cost rate with relaxed terminal conditions. Shortages are allowed and partially backlogged in the model. The purpose of this study is to determine the optimal order quantity and the ending inventory level such that the total profit per unit time is maximized for the retailer. We first est...

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Inventory model with stock-level dependent demand rate and variable holding cost

Inventory models in which the demand rate depends on the inventory level are based on the common real-life observation that greater product availability tends to stimulate more sales. Previous models incorporating inventory-level dependent demand rate assume that the holding cost is constant for the entire inventory cycle. This paper considers the inventory policy for an item with a stock-level...

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Inventory Model with Exponential Time- Dependent Demand Rate, Variable Deterioration, Shortages and Production Cost

In the past few decade researches have developed their EOQ models under constant deterioration and constant demand. However, it is not true in actual practice. In this paper, we have established inventory model with exponential time-dependent demand and timedependent time-dependent deterioration. Shortages are allowed. The demand rate and unit production cost both are considered as proportional...

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Inventory models with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages

Manna and Chaudhuri (Eur. J. Oper. Res. 171(2):557–566, 2006) presented a production-inventory system for deteriorating items with demand rate being a linearly ramp type function of time and production rate being proportional to the demand rate. The two models without shortages and with shortages were discussed. Both models were studied assuming that the time point at which the demand is stabil...

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ژورنال

عنوان ژورنال: RAIRO - Operations Research

سال: 2014

ISSN: 0399-0559,1290-3868

DOI: 10.1051/ro/2013058