Managing Perishable and Aging Inventories: Review and Future Research Directions

Karaesmen, Itır Z.; Scheller‐Wolf, Alan; Deniz, Borga

doi:10.1007/978-1-4419-6485-4_15

Cited by 242 publications

(149 citation statements)

References 106 publications

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“…Due to the similarity between the considered class of systems and engineering processes, it is a natural choice to apply controltheoretic methods in the design and analysis of strategies governing the flow of goods. However, it follows from the extensive review papers documenting the research work in the field [2][3][4][5][6][7] that certain areas of inventory control are not sufficiently addressed at the formal design level. The deficiency of application of systematic control approaches concerns in particular a large and very important class of problems related to the management of perishable commodities.…”

Section: Introductionmentioning

confidence: 99%

Dead-beat and reaching-law-based sliding-mode control of perishable inventory systems

Ignaciuk¹,

Bartoszewicz²

2011

Bulletin of the Polish Academy of Sciences: Technical Sciences

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Abstract. In this paper we consider the problem of efficient control of inventory systems with perishable goods. In the analyzed setting the deteriorating stock at a distribution center used to fulfill unknown, time-varying demand is replenished with delay from a supply source. The challenging issue is to achieve the high service level with minimum costs when the replenishment orders are procured with lead-time delay spanning multiple review periods. On the contrary to the typical heuristic approaches, we apply formal methodology based on discrete-time sliding-mode (SM) control. The proposed SM controller with the sliding plane selected for a dead-beat scheme ensures that the maximum service level is obtained in the system with arbitrary delay and any bounded demand pattern. In order to account for the supplier capacity limitations in the systems with input constraints, we also develop an alternative control strategy based on reaching law. Both controllers achieve a given service level with smaller holding costs and reduced order-to-demand variance ratio as compared to the classical order-up-to policy.

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Section: Introductionmentioning

confidence: 99%

Dead-beat and reaching-law-based sliding-mode control of perishable inventory systems

Ignaciuk¹,

Bartoszewicz²

2011

Bulletin of the Polish Academy of Sciences: Technical Sciences

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“…The case of compound Poisson demand was introduced in [2], but without a random environment. See also the surveys [6,9,13,14,17] on Perishable Inventory Systems (PIS). Our paper is closest to the subject area of [9], which 3 focuses on the stochastic analysis of PIS that operate under certain heuristic control policies.…”

Section: Introductionmentioning

confidence: 99%

“…According to [9] continuous review inventory models can be classified into three categories: those without fixed ordering cost or lead times, those without fixed ordering cost having positive lead times, and those with fixed ordering cost (typically with zero lead times).…”

Section: Introductionmentioning

confidence: 99%

A compound Poisson EOQ model for perishable items with intermittent high and low demand periods

et al. 2016

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We consider a stochastic EOQ-type model, with demand operating in a two-state random environment. This environment alternates between exponentially distributed periods of high demand and generally distributed periods of low demand. The inventory level starts at some level q, and decreases according to different compound Poisson processes during the periods of high demand and of low demand. The inventory level is refilled to level q when level 0 is hit or when an expiration date is reached, whichever comes first. We determine various performance measures of interest, like the distribution of the time until refill, the expected amount of discarded material and of material held (inventory), and the expected values of various kinds of shortages. For a given cost/revenue structure, we can thus determine the long-run average profit.

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“…Over the last 30 years four review papers have been published on the general field (see [17] for the first review paper, [26], [12] and recently, a comprehensive updated monograph by Nahmias [18]). According to the review papers above it seems that most of the work in the field looks on the topic from an optimal control point of view.…”

Section: Introductionmentioning

confidence: 99%

Two perishable inventory systems with one-way substitution

2016

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Motivated by the ABO issue of the blood banks system, in which the portions stored have constant shelf life, we consider two subsystems of perishable inventory. The two Perishable Inventory Subsystems -PIS A and PIS B, are correlated to each other through a so-called one-way substitution of demands. Specifically, the input streams and the demand streams applied to each subsystem are four Poisson processes which are independent of one another. However, if the shelf of PIS A (blood of type O) is empty of items an arriving demand of type A is unsatisfied, since demand of type A cannot be satisfied by an item of type B (blood portions of type AB), but if the shelf of PIS B is empty of items an arriving demand of type B is applied to PIS A, since demands of type B can be satisfied by both types. Such a one-way substitution of the issuing policy generates for PIS A a modulated Poisson demand process operating in a two-state non-Markovian environment. The performance analysis of PIS B is known from previous work. Hence, in this study we focus on the marginal performance analysis of PIS A. Based on a fluid formulation and a Markovian approximation for the one-way substitution demands process, we develop a unified approach to efficiently and accurately approximate the performance of PIS A. The effectiveness of the approach is investigated by extensive numerical experiments.

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Managing Perishable and Aging Inventories: Review and Future Research Directions

Cited by 242 publications

References 106 publications

Dead-beat and reaching-law-based sliding-mode control of perishable inventory systems

Dead-beat and reaching-law-based sliding-mode control of perishable inventory systems

A compound Poisson EOQ model for perishable items with intermittent high and low demand periods

Two perishable inventory systems with one-way substitution

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