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Deteriorating inventory model for time dependent demand and holding cost with partial backlogging

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TLDR
In this article, a deterministic deteriorating inventory model was developed in which demand rate and holding cost both is linear function of time, deterioration rate is constant, backlogging rate is variable and depend on the length of the next replenishment, shortages are allowed and partially backlogged.
Abstract
In most of the deteriorating items inventory model the holding cost and demand rate has considered as a constant function. But in realistic situation these cost varying according to time. So in this paper, we developed a deterministic deteriorating inventory model in which demand rate and holding cost both is linear function of time, deterioration rate is constant, backlogging rate is variable and depend on the length of the next replenishment, shortages are allowed and partially backlogged. The model is solved analytically by minimizing the total inventory cost. The model is tested for a set of parameter and results indicate that the model is quite stable. The model can be applied for optimizing the total inventory cost of deteriorating items inventory for a business enterprise where demand and holding cost both is linear function of time.

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Citations
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Production inventory model for time dependent deteriorating items with production disruptions

TL;DR: In this article, the authors considered the fact that the storage item is deteriorated during normal and disrupted production periods and developed a production inventory model for time dependent deteriorating items with production disruption in which shortages are not allowed and demand rate is deterministic and constant.
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Two-warehouse production inventory model for a deteriorating item with time-varying demand and shortages: a genetic algorithm with varying population size approach

TL;DR: It is pointed out that the expression of Lee and Hsu (2009) can be obtained as a particular case and to show the effectiveness of the proposed approach, a numerical example is provided.
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Deteriorating inventory model using preservation technology with salvage value and shortages

TL;DR: In this paper, an inventory model for deteriorating items with the consideration of the fact that the use of preservation technology (PT) can reduce the deterioration rate significantly is developed, where shortages are allowed and salvage value is incorporated to the deteriorated items.
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Optimal production and corrective maintenance in a failure-prone manufacturing system under variable demand

TL;DR: Failure-prone manufacturing systems facing dynamical market conditions that result in demand variations are considered and the optimal policy is shown to be the hedging-curve-policy, that extends the hedges-point-policy to the case of varying level of safety stock.
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A Multiobjective Distribution-Pricing Model for Multiperiod Price-Sensitive Demands

TL;DR: A new multiobjective model is proposed in order to determine the pricing and distribution plans for a wholesaler and its local distributors and determines the most favorable solution among the set of Pareto-optimal solutions obtained.
References
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Journal ArticleDOI

Recent trends in modeling of deteriorating inventory

TL;DR: The motivations, extensions and generalizations of various models in each sub-class have been discussed in brief to bring out pertinent information regarding model developments in the last decade.
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(T, S i ) Policy Inventory Model for Deteriorating Items with Time Proportional Demand

TL;DR: In this article, an EOQ model is reconsidered in which the demand rate is changing linearly with time and the deterioration is assumed to be a constant fraction of the onhand inventory.
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Optimal pricing and lot-sizing under conditions of perishability and partial backordering

TL;DR: In this article, a generalized model of dynamic pricing and lot-sizing by a reseller who sells a perishable good is formulated, where when it is economic to backlog demand, the reseller can plan for periods of shortage during which demand can be partially backordered.
Journal ArticleDOI

An EOQ model for deteriorating items with time varying demand and partial backlogging

TL;DR: This paper focuses on the effect of the backlogging rate on the economic order quantity decision and Numerical examples are presented to illustrate the model.
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