A single product perishing inventory model with demand interaction

Yadavalli, V.S.S.; Schoor, CdeW van; Strasheim, J.J.; Udayabaskaran, S.

doi:10.5784/20-2-10

Cited by 14 publications

(10 citation statements)

References 4 publications

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“…The often quoted review articles Nahmias [1] and Raafat [2] and the recent review articles Shah and Shah [3] and Goyal and Giri [4] provide excellent summaries of many of these modelling efforts. For some recent references see Chakravarthy and Daniel [5], Yadavalli et al [6], and Kalpakam and Shanthi [7,8].…”

Section: Introductionmentioning

confidence: 97%

An Inventory System with Postponed Demands

Arivarignan

2007

Stochastic Analysis and Applications

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In this article we consider a continuous review perishable inventory system in which the demands arrive according to a Markovian arrival process MAP . The items in the inventory have shelf life times that are assumed to follow an exponential distribution. The inventory is replenished according to an s S policy and the replenishing times are assumed to follow a phase type distribution. The demands that occur during stock out periods either enter a pool which has capacity N < or leave the system. Any demand that arrives when the pool is full and the inventory level is zero, is also assumed to be lost. The demands in the pool are selected one by one, if the replenished stock is above s with interval time between any two successive selections is distributed as exponential with parameter depending on the number of customers in the pool. The joint probability distribution of the number of customers in the pool and the inventory level is obtained in the steady state case. The measures of system performance in the steady state are derived and the total expected cost rate is also calculated. The results are illustrated numerically.

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Section: Introductionmentioning

confidence: 97%

An Inventory System with Postponed Demands

Arivarignan

2007

Stochastic Analysis and Applications

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“…In the latter case, it is assumed that either all (full backlogging) or any prefixed number of demands (partial backlogging) that occurred during the stock-out period are satisfied. See Nahmias (1982), Raafat (1991), Kalpakam and Arivarignan (1990), Liu and Yang (1999) and Yadavalli et al (2004) for a review.…”

Section: Introductionmentioning

confidence: 99%

A perishable inventory system with service facilities and retrial customers

Manuel

Sivakumar

Arivarignan

2008

Computers & Industrial Engineering

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“…Yadavalli et. al., [16] have analyzed a model with joint ordering policy and varying order quantities.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Two-Commodity Continuous Review Inventory System in Supply Chain

Jane¹,

Bakthavachalam²,

Nagarajan³

et al. 2014

IOSRJM

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This paper considers a two commodity continuous review inventory system. Continuous review inventory control of a single item at a single location had been considered by many researchers in past. We extend this inventory control strategy to two-echelon system, which is a building block for serial supply chain. The inventory control system consists of two warehouse (WH i ), Two Distribution Centre's (DC i ) each associated with a retailer and handling two non-identical products. A (s, S) type inventory system with Poisson demand and exponentially distributed lead times is assumed at retailer node. The items are supplied to the retailers in packs of Q i (= S i -s i ) items from the distribution center (DC i ) which has instantaneous replenishment facility from an abundant source (manufacturer). The steady state probability distribution and the operating characteristics are obtained explicitly. The measures of system performance in the steady state are obtained. The results are illustrated with numerical examples.

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A single product perishing inventory model with demand interaction

Cited by 14 publications

References 4 publications

An Inventory System with Postponed Demands

An Inventory System with Postponed Demands

A perishable inventory system with service facilities and retrial customers

Analysis of Two-Commodity Continuous Review Inventory System in Supply Chain

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