Access control to two multiserver loss queues in series

Ku, Cheng-Yuan; Jordan, Scott

doi:10.1109/9.599987

Cited by 31 publications

(1 citation statement)

References 10 publications

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“…No research has been carried out to the best of our knowledge on combining two multi-server forms in the inventory market. Interestingly, a two multi-server service system in the queuing system is investigated by Cheng-Yuan Ku and Scott Jordan [32]. On doing such keen observation from the literature review, we found and enlisted some research gaps as follows:…”

Section: Introductionmentioning

confidence: 98%

Analysis of Interconnected Arrivals on Queueing-Inventory System with Two Multi-Server Service Channels and One Retrial Facility

et al. 2021

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Present-day queuing inventory systems (QIS) do not utilize two multi-server service channels. We proposed two multi-server service channels referred to as T1S (Type 1 n-identical multi-server) and T2S (Type 2 m-identical multi-server). It includes an optional interconnected service connection between T1S and T2S, which has a finite queue of size N. An arriving customer either uses the inventory (basic service or main service) for their demand, whom we call T1, or simply uses the service only, whom we call T2. Customer T1 will utilize the server T1S, while customer T2 will utilize the server T2S, and T1 can also get the second optional service after completing their main service. If there is a free server with a positive inventory, there is a chance that T1 customers may go to an infinite orbit whenever they find that either all the servers are busy or no sufficient stock. The orbital customer can request for T1S service under the classical retrial policy. Q(=S−s) items are replaced into the inventory whenever it falls into the reorder level s such that the inequality always holds n<s. We use the standard (s,Q) ordering policy to replace items into the inventory. By varying S and s, we investigate to find the optimal cost value using stationary probability vector ϕ. We used the Neuts Matrix geometric approach to derive the stability condition and steady-state analysis with R-matrix to find ϕ. Then, we perform the waiting time analysis for both T1 and T2 customers using Laplace transform technique. Further, we computed the necessary system characteristics and presented sufficient numerical results.

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Section: Introductionmentioning

confidence: 98%

Analysis of Interconnected Arrivals on Queueing-Inventory System with Two Multi-Server Service Channels and One Retrial Facility

et al. 2021

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Customer equilibrium and optimal strategies in Markovian queues in series

Burnetas

2011

Ann Oper Res

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Effects of system parameters on the optimal policy structure in a class of queueing control problems

2009

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This paper studies a class of queueing control problems involving commonly used control mechanisms such as admission control and pricing. It is well established that in a number of these problems, there is an optimal policy that can be described by a few parameters. From a design point of view, it is useful to understand how such an optimal policy varies with changes in system parameters. We present a general framework to investigate the policy implications of the changes in system parameters by using event-based dynamic programming. In this framework, the control model is represented by a number of common operators, and the effect of system parameters on the structured optimal policy is analyzed for each individual operator. Whenever a queueing control problem can be modeled by these operators, the effects of system parameters on the optimal policy follow from this analysis.Keywords Control of queueing systems · Event-based dynamic programming · Structured optimal control policies · Effects of system parameters Mathematics Subject Classification (2000) 49L20 · 93E20

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Access control to two multiserver loss queues in series

Cited by 31 publications

References 10 publications

Analysis of Interconnected Arrivals on Queueing-Inventory System with Two Multi-Server Service Channels and One Retrial Facility

Analysis of Interconnected Arrivals on Queueing-Inventory System with Two Multi-Server Service Channels and One Retrial Facility

Customer equilibrium and optimal strategies in Markovian queues in series

Effects of system parameters on the optimal policy structure in a class of queueing control problems

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