Article2010

An economic order quantity model of imperfect quality items with partial backlogging

Monami Das Roy · Shib Sankar Sana · Kripasindhu S. Chaudhuri

87 citations0/0 files storedInternational Journal of Systems Science

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Supply Chain and Inventory Management Sustainable Supply Chain Management Optimization and Mathematical Programming

Abstract

This article deals with an economic order quantity (EOQ) model in which a certain percentage of a lotsize is of imperfect quality products. This percentage follows a uniform distribution function. During the inspection of the total lot-size, a stock-out situation may occur. In a stock-out situation, a partial fraction of the demand is adjusted by partial back ordering and the rest of the demand is considered as a case of lost sales. The associated integrated expected profit function is generalised for the general distribution function of imperfect quality products. Then the objective function is maximised. Also, three special cases of the general model are studied. A suitable numerical example is provided to illustrate the model and the solution procedure. Comparison between the general and special cases are also shown with the help of numerical examples. Sensitivity analysis of the optimal solutions with respect to all individual parameters of the general model is carried out.

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References

1986Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction 1986Economic Production Cycles with Imperfect Production Processes 2000Economic production quantity model for items with imperfect quality 2005An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging 2005Optimal inventory model for items with imperfect quality and shortage backordering 2002Note on: Economic production quantity model for items with imperfect quality–a practical approach 2001Production lot sizing with the reworking of imperfect quality items produced 2007Economic order quantity for items with imperfect quality: Revisited

Cited by

2012Credit financing in economic ordering policies for defective items with allowable shortages 2013Finite horizon EOQ model for non-instantaneous deteriorating items with price and advertisement dependent demand and partial backlogging under inflation 2019A robust fuzzy approach for constrained multi-product economic production quantity with imperfect items and rework process 2014Economic production quantity (EPQ) models under an imperfect production process with shortages backordered

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