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An inventory model for deteriorating items with time-dependent demand and time-varying holding cost under partial backlogging

TLDR
In this article, a deterministic inventory model with time-dependent demand and time-varying holding cost where deterioration is time proportional is considered, and the model is solved analytically by minimizing the total inventory cost.
Abstract
In this paper, we considered a deterministic inventory model with time-dependent demand and time-varying holding cost where deterioration is time proportional. The model considered here allows for shortages, and the demand is partially backlogged. The model is solved analytically by minimizing the total inventory cost. The result is illustrated with numerical example for the model. The model can be applied to optimize the total inventory cost for the business enterprises where both the holding cost and deterioration rate are time dependent.

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Citations
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Journal ArticleDOI

Literature review of deteriorating inventory models by key topics from 2012 to 2015

TL;DR: An up-to-date review of perishable inventory models, but also of the joint key topics of publications from January 2012 until December 2015 in the research area of deteriorating inventory models is given.
Journal ArticleDOI

Inventory and pricing model with price-dependent demand, time-varying holding cost, and quantity discounts

TL;DR: An inventory model is presented with a selling price-dependent demand rate, a storage time-dependent holding cost, and an order size-dependent purchase cost based on all-units quantity discount.
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Analysis of inventory control model with shortage under time-dependent demand and time-varying holding cost including stochastic deterioration

TL;DR: The main purpose of the paper is to investigate the optimal retailer’s replenishment decisions for deteriorating items including time-dependent demand for demonstrating more practical circumstances within economic-order quantity frameworks.
Journal ArticleDOI

Analysis of an EOQ inventory model with partial backordering and non-linear unit holding cost

TL;DR: In this article, an economic order quantity inventory model is analyzed, considering that the unit cumulative holding cost has two significant components: a fixed cost which represents the cost of accommodating the item in the warehouse and a variable cost given by a potential function of the length of time over which the item is held in stock.
Journal ArticleDOI

Multi-item EOQ model with nonlinear unit holding cost and partial backordering: moth-flame optimization algorithm

TL;DR: In this paper, a multi-item multi-constrained economic order quantity model with nonlinear unit holding cost and partial backordering is proposed, where different technical, physical, and strategic constraints are considered such as available budget, warehouse capacity, total permissible holding cost, and total permissible backordering cost constraints.
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.
Journal ArticleDOI

(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.
Journal ArticleDOI

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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