A systematic literature review on the joint replenishment problem solutions: 2006-2015

Abstract

Among all existing inventory replenishment models, this research was dedicated to the Joint Replenishment Problem (JRP), which consists in the replenishment of multiple items simultaneously, aiming total cost reduction. Literature has presented several optimal and approximated solutions to this problem, with different applications and techniques, which results in a large quantity of solution proposals. Therefore, this research aimed to map existing solutions to the problem in 2006-2015 in order to provide a guide for interested parts in JRP and to update previous reviews. Hence, systematic review was used to assess papers from that period interval. From a total of 128 papers, a general trend for seeking JRP extensions and practical applications was verified. Furthermore, the heuristic and metaheuristic methods were the most used and considered the most suitable due to their simplicity in understanding and application. KeywordsInventory management. Multi-product. Joint replenishment problem. Systematic review.

Discounted costs and obsolescence with the Joint replenishment problem

“…In a literature review of the JRP, Khouja & Goyal (2008) advocate the development of research on extensions and practical applications of the problem, which should continue receiving attention. Bastos et al (2017) verified a trend in this direction.…”

“…One of the extensions explicitly mentioned by Khouja & Goyal (2008) has to do with including products facing obsolescence or deterioration in the JRP, but from Bastos et al (2017) we can conclude that there continues to exist a lack of research in this field. In this line, Kouki et al ( 2016) state that despite the JRP having been broadly studied in the literature, the coordinating replenishment of multiple deteriorating items is still unexplored.…”

“…Khouja & Goyal (2008) point out that JRP models are vastly more applicable in real life situations than inventory models assuming a single item type and advocate more research on practical extensions of the JRP, namely to explore the JRP dealing with items subject to obsolescence. In a more recent JRP literature review, Bastos et al (2017) also mention relevant research on extensions and practical applications of the JRP, but obsolescence is not referenced at all. To our best knowledge, models considering items prone to obsolescence under the JRP are still not available in the literature.…”

Joint Inventory Replenishment Planning of an E-Commerce Distribution System with Distribution Centers at Producers’ Locations

“…For a change, we consider a multi-product joint replenishment problem in a multiple-echelon distribution system with replenishment quantity constraints for all stocks. Furthermore, joint replenishment for one stock has gained much attention over the past years [12]. In previous studies, ordering costs of multiple products were considered in joint replenishment [13], which can reduce the ordering costs of an inventory system [14,15].…”

An (R, S) Based Heuristic Model for the Stochastic Joint Replenishment Problem

“…In the stochastic joint replenishment inventory system, the demand for each individual item is unknown but follows certain types of distributions; the problem is to decide the optimal parameters of a given inventory policy, e.g., (Balintfy, 1964;Atkins & Iyogun, 1988;Renberg & Planche, 1967;Kalpakam & Arivarignan, 1993;Viswanathan, 1997;Nielsen & Larsen, 2005;Özkaya et al, 2006). Most literature still presents applications to constant and dynamic deterministic demands; however, the study regarding stochastic demand has received increasing attention due to its practical relevance (Bastos et al, 2017). This work belongs to the growing literature on the stochastic joint replenishment.…”