2012
DOI: 10.1080/00207721.2010.543481
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A replenishment policy for items with price-dependent demand, time-proportional deterioration and no shortages

Abstract: In this article, an order-level inventory system for deteriorating items has been developed with demand rate as a function of selling price. The demand and the deterioration rate are price dependent and time proportional, respectively. We have considered a perishable item that follows a three-parameter Weibull distribution deterioration. Shortages are not permitted in our model. The optimal solution is illustrated with a numerical example and the sensitivity analysis of parameters is carried out.

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Cited by 33 publications
(20 citation statements)
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“…They considered an inventory system with non-instantaneous deteriorating items in which demand rate was a function of selling price and the frequency of advertisement in each replenishment cycle. Begum, Sahoo, and Sahu (2012) applied three-parameter Weibull distribution to present time-dependency of inventory deterioration rate. Soni and Joshi (2013) proposed a generalized economic order quantity-based model for deteriorating items under bi-level trade credit financing.…”
Section: Literature Reviewmentioning
confidence: 99%
“…They considered an inventory system with non-instantaneous deteriorating items in which demand rate was a function of selling price and the frequency of advertisement in each replenishment cycle. Begum, Sahoo, and Sahu (2012) applied three-parameter Weibull distribution to present time-dependency of inventory deterioration rate. Soni and Joshi (2013) proposed a generalized economic order quantity-based model for deteriorating items under bi-level trade credit financing.…”
Section: Literature Reviewmentioning
confidence: 99%
“…There is also a large body of literature on deteriorating inventory. These cover issues such as the type of demand (e.g., Begum, Sahoo, & Sahu, 2012;Deng, Lin, & Chu, 2007;Khanra, Sana, & Chaudhuri, 2010;Mishra & Shah, 2008;Skouri & Konstantaras, 2009); accounting for the time-value of money (e.g., Wee & Law, 1999; allowing shortages and backordering (e.g., Shah, 1998;Sharma, 2006;Yang, 2011); considering multiple items (e.g., Sharma, 2007aSharma, , 2007bSharma, , 2009b; the EPQ model (e.g., Min, Zhou, Liu, & Wang, 2012;Sharma, 2008aSharma, , 2008bSharma, , 2009c; and the two-warehouse problem (e.g., Pakkala & Achary, 1992;Sarma, 1987;Yang, 2006).…”
Section: Introductionmentioning
confidence: 99%
“…They applied a three-parameter Weibull distribution to present timedependency of inventory deterioration rate. Begum et al (2012) conducted another study on the previous model by neglecting shortage and assuming demand as a non-linear function of price. Cai et al (2013) proposed one of the very few researches on dynamic pricing which modeled price as a function of time.…”
Section: Literature Reviewmentioning
confidence: 99%