A perishable inventory system with modified (S−1,S) policy and arbitrary processing times

“…Kalpakam and Shanthi [14] analyze a lost sales (S − 1, S) perishable system, under Poisson demands and exponential life times in which the orders are placed at every demand epoch so as to take the inventory position back to its maximum level S. The items are replenished one at a time,with this resupply time having an arbitrary distribution. Various operating characteristics are obtained using Markov renewal techniques.…”

Section: Classsical Modelsmentioning

confidence: 99%

A survey on inventory models with positive service time

2011

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“…According to (S-1, S) inventory policy, if the inventory level is less than ܵ either due to a demand or a failure, we place an order to bring the inventory level to S [2]. This method is often used for controlling the stock levels of expensive, slow moving, with relatively low demand and high inventory holding costs items.…”

Section: Introductionmentioning

confidence: 99%

Applying queuing approach for a stochastic location-inventory problem with two different mean inventory considerations

Sadjadi

Makui

Dehghani

et al. 2016

Applied Mathematical Modelling

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Please cite this article as: S.J. Sadjadi, A. Makui, E. Dehghani, M. Pourmohammad, Applying queuing approach for a stochastic location-inventory problem with two different mean inventory considerations, Appl. Math. Modelling (2015), doi: http://dx. ABSTRACTThis paper studies a three-level supply chain network, which includes a single supplier, multiple potential distribution centers (DCs) and multiple retailers. The problem is to optimize the facility location, allocation retailers' demands, and inventory replenishment decisions simultaneously such that the total expected costs of location, transportation and inventory are minimized. In order to make the problem more realistic, we consider uncertain demand and leadtime, which follow Poisson and Exponential distributions, respectively. Hence, a queueing approach is used to obtain the amount of annual ordering, purchase and shortage as well as the mean inventory in the steady-state condition. Then, according to the results of queuing analysis, we propose a mixed integer nonlinear programming model (MINLP) to address the locationinventory problem. Moreover, the expected mean inventory is calculated using two different methods and the results are also compared through different criteria.

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A perishable inventory system with modified (S−1,S) policy and arbitrary processing times

Cited by 51 publications

References 9 publications

A lost sales (r, Q) inventory control model for perishables with fixed lifetime and lead time

A lost sales (r, Q) inventory control model for perishables with fixed lifetime and lead time

A survey on inventory models with positive service time

Applying queuing approach for a stochastic location-inventory problem with two different mean inventory considerations

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