2011
DOI: 10.1016/j.cie.2010.07.032
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A multi-server perishable inventory system with negative customer

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Cited by 26 publications
(12 citation statements)
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“…If environmental factors such as economic and marketing conditions change during the product life and have a significant effect on the demand, then the assumption that the demand in each period is a random variable and is independent of environmental factors apart from time will be incorrect. In such real life situations, the Markov chain approach provides a flexible alternative for modeling the demand process [55,276,321,335,336,[339][340][341][343][344][345][346]; not only does it significantly generalize the Poisson process [55,272,278,280,281,287,290,297,303,304,307,308,316,333,338,341], but it is also a convenient tool for modeling both the renewal and non-renewal demand arrivals. However, despite this fact, the Markovian assumption holds for demand processes with relatively low variation coefficients, i.e., in cases where high demand variances are observed, the non-stationary assumption does not hold in the Markovian environment because standard periods of constant length may introduce memory and generate correlated demand distributions within periods.…”
Section: Classification According To the Demand And Deteriorationmentioning
confidence: 99%
“…If environmental factors such as economic and marketing conditions change during the product life and have a significant effect on the demand, then the assumption that the demand in each period is a random variable and is independent of environmental factors apart from time will be incorrect. In such real life situations, the Markov chain approach provides a flexible alternative for modeling the demand process [55,276,321,335,336,[339][340][341][343][344][345][346]; not only does it significantly generalize the Poisson process [55,272,278,280,281,287,290,297,303,304,307,308,316,333,338,341], but it is also a convenient tool for modeling both the renewal and non-renewal demand arrivals. However, despite this fact, the Markovian assumption holds for demand processes with relatively low variation coefficients, i.e., in cases where high demand variances are observed, the non-stationary assumption does not hold in the Markovian environment because standard periods of constant length may introduce memory and generate correlated demand distributions within periods.…”
Section: Classification According To the Demand And Deteriorationmentioning
confidence: 99%
“…According to Gürler and Özkaya (2008), demand arrival followed renewal process with random batch sizes. There can be cases when items required processing (Cai et al , 2010; Yadavalli et al , 2011), then the expected waiting time and queue length also take into consideration in addition to the holding time to evaluate the performance of the system which will be useful to implement inventory control policies. In fact, with the growing uncertainty in the modern business environment, the assumption of deterministic demand is far from truth, so stochastic demand has attracted more and more attentions.…”
Section: Classification Of Perishable Inventory Modelsmentioning
confidence: 99%
“…Now exploiting max-min operator, which was first developed by Bellman and Zadeh [28] long back and subsequently used by Zimmermann [32], etc. the solution of the FNLPP (12) can be obtained from Max a subject to For the proposed fuzzy model given by (11), we define the membership function of fuzzy inventory minimum cost and fuzzy deteriorationrate as follows :…”
Section: Fuzzy Modelmentioning
confidence: 99%
“…To find the extreme order quantity, which minimizes the total fuzzy cost function. Fuzzy cost function is derived with the help of Zimmerman [32] and its solution is obtained with the help of Kaufmann and Gupta [33]. In section 2, assumptions and notations of the proposed model are listed.…”
Section: Introductionmentioning
confidence: 99%