Separable models for interconnected production-inventory systems

Otten, Sonja; Krenzler, Ruslan; Daduna, Hans

doi:10.1080/15326349.2019.1692667

Cited by 8 publications

(4 citation statements)

References 33 publications

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“…Sulem (1986a) provided an explicit solution for this problem and examined its average‐cost version. Some related models are Bather (1966), Whitt (1973), Puterman (1975), and Beyer (1994), but they did not go as far, for our purposes, as Sulem (1986a) did. A model presented by Browne and Zipkin (1991) also involved a diffusion term in demand but treated it differently.…”

Section: Discounted Cost Criterionmentioning

confidence: 86%

A survey of stochastic inventory models with fixed costs: Optimality of (s, S) and (s, S)‐type policies—Continuous‐time case

Perera

Sethi

2023

Production and Operations Management

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Fixed costs of ordering items or setting up a production process arise in many real‐life scenarios. In their presence, the most widely used ordering policy in the stochastic inventory literature is the false(s,Sfalse)$(s,S)$ policy. Optimality of false(s,Sfalse)$(s,S)$ policies and false(s,Sfalse)$(s,S)$‐type policies have been examined for various inventory models, including those with the inventory level being reviewed in every period or continuously, finite and infinite horizons, discounted‐cost and average‐cost criteria, backlogging and lost‐sales practices, standard and generalized demands and/or costs, deterministic and stochastic lead times, single‐product and multi‐product settings, and coordinated pricing‐inventory decisions. We comprehensively survey the vast literature accumulated over seven decades in two papers. This paper is devoted to continuous‐time models, and the companion paper, also published in this journal issue, reviews discrete‐time models. We go over model specifications, proof techniques, specific results, and limitations of the articles published in the literature. We conclude each paper by providing corresponding suggestions for extensions and directions for future research.

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Section: Discounted Cost Criterionmentioning

confidence: 86%

A survey of stochastic inventory models with fixed costs: Optimality of (s, S) and (s, S)‐type policies—Continuous‐time case

Perera

Sethi

2023

Production and Operations Management

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“…The investigation of networks of queues with attached inventory is just in the beginning. The research presented in this article is related to investigation of network models in Otten et al (2016Otten et al ( , 2020, Otten (2017)[Section 3.4].…”

Section: Literature Reviewmentioning

confidence: 99%

“…• by a node with general service discipline Daduna (2001)[Definition 9.1] with exponential service time request or a node with symmetric service discipline Daduna (2001)[Definition 9.5] according to Kelly (1979)[Section 3.3], or • by a replenishment network as in Otten et al (2020). A necessary restriction is that departure from the replenishment network into the transportation subsystem is from a unique dedicated "departure node".…”

Section: Generalizations and Modificationsmentioning

confidence: 99%

“…We sketch here only research on queueing-inventory systems which provided as an outcome the stationary distribution in explicit expressions. Research which is relevant for networks of queueing-inventory systems with a common replenishment system and base-stock contol of the inventories is communicated in Otten (2017), Otten et al (2016Otten et al ( , 2020.…”

Section: Generalizations and Modificationsmentioning

confidence: 99%

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On queueing-inventory-location problems

Daduna

2022

Ann Oper Res

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A network of queueing-inventory systems is considered where the inventories are replenished by a common central server. Travel times for transport of the items send out from the center and an adaptive dispatching regime to direct transportation towards the locations with queueing-inventory systems are incorporated in the model. The stationary distribution of the system is of product form and is explicitly given. An optimization procedure is developed to find for given locations of the queueing-inventory systems an optimal location for the replenishment center. Optimization is with respect to overall utilization of the resources measured in total throughput of the queueing-inventory systems.

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