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The presented study elaborates a multi-server catastrophic retrial queueing model considering preemptive repeat priority policy with phase-type (PH) distributed retrial times. For the sake of comprehension, the scenario of model operation…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Raina Raj , Vidyottama Jain

The presented study elaborates a multi-server priority queueing model considering the pre-emptive repeat policy and phase-type distribution (PH) for retrial process. The incoming heterogeneous calls are categorized as handoff calls and new…

Optimization and Control · Mathematics 2021-08-03 Raina Raj , Vidyottama Jain

This work focuses over the performability analysis of a multi-server retrial queueing model with phase-type inter-retrial times in cellular networks. It is considered that the pattern of the new call arrival and handoff call arrival follows…

Networking and Internet Architecture · Computer Science 2021-07-05 Vidyottama Jain , Raina Raj , S Dharmaraja

In this paper, we analyze a retrial queueing system with Batch Markovian Arrival Processes and two types of customers. The rate of individual repeated attempts from the orbit is modulated according to a Markov Modulated Poisson Process.…

Probability · Mathematics 2015-04-07 Jinbiao Wu , Yi Peng , Zaiming Liu

In this paper the infinite server queue model in semi-Markov random environment with k Markov arrival streams, random resources of customers, and catastrophes is considered. After catastrophes occur, all customers in the model are flashed…

Performance · Computer Science 2018-05-25 Khanik Kerobyan , Ruben Kerobyan , Koffi Enakoutsa

In the present paper the infinite-server MMAPkGk queueing model with random resource vector of customers, marked MAP arrival and semi-Markov (SM) arrival of catastrophes is considered. The joint generating functions (PGF) of transient and…

Performance · Computer Science 2018-05-25 K. Kerobyan , R. Covington , R. Kerobyan , K. Enakoutsa

We study the MAP/M/s+G queuing model with MAP (Markovian Arrival Process) arrivals, exponentially distributed service times, infinite waiting room, and generally distributed patience times. Using sample-path arguments, we propose to obtain…

Performance · Computer Science 2021-10-22 Omer Gursoy , Kamal Adli Mehr , Nail Akar

In this article, we consider a continuous review (s, S) inventory system with failures of demand fulfillment (service) modeled as a Markov-modulated retrial queueing system. The inventory system features a single product that experiences…

Probability · Mathematics 2023-07-18 James Cordeiro , Ying-Ju Chen , Andres Larrain-Hubach , Mark Abramson

In this study, we extend upon the model by Haring et al. (2001) by introducing retrial phenomenon in multi-server queueing system. When at most g number of guard channels are available, it allows new calls to join the retrial group. This…

Optimization and Control · Mathematics 2021-06-29 Vidyottama Jain , Raina Raj , S. Dharmaraja

We extend stochastic network optimization theory to treat networks with arbitrary sample paths for arrivals, channels, and mobility. The network can experience unexpected link or node failures, traffic bursts, and topology changes, and…

Optimization and Control · Mathematics 2010-01-07 Michael J. Neely

This paper considers a retrial queueing model for a base station in cellular networks where fresh calls and handover calls are available. Fresh calls are initiated from the cell of the base station. On the other hand, a handover call has…

Performance · Computer Science 2014-05-09 Kazuki Kajiwara , Tuan Phung-Duc

The single server queue with multiple customer types and semi-Markovian service times, sometimes referred to as the $M/SM/1$ queue, has been well-studied since its introduction by Neuts in 1966. In this paper, we apply an extension of this…

Probability · Mathematics 2018-12-07 Abhishek , Marko Boon , Rudesindo Núñez-Queija

In this paper, we equip the conventional discrete-time queueing network with a Markovian input process, that, in addition to the usual short-term stochastics, governs the mid- to long-term behavior of the links between the network nodes.…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Richard Schoeffauer , Gerhard Wunder

Fork-Join (FJ) queueing models capture the dynamics of system parallelization under synchronization constraints, for example, for applications such as MapReduce, multipath transmission and RAID systems. Arriving jobs are first split into…

Performance · Computer Science 2017-02-03 Wasiur R. KhudaBukhsh , Amr Rizk , Alexander Frömmgen , Heinz Koeppl

This paper presents a Markov-chain-based method for the early-phase analysis and design of hybrid spare-management architectures for large-scale satellite constellations.} The hybrid strategy combines two channels: an indirect path that…

Optimization and Control · Mathematics 2026-05-21 Seungyeop Han , Shoji Yoshikawa , Takumi Noro , Takumi Suda , Koki Ho

Ride-hailing and autonomous mobility-on-demand operators reposition idle supply before future demand is fully observed. We study a retrieval-calibrated predict-then-optimize approach for this problem: historical demand regimes are matched…

Machine Learning · Computer Science 2026-05-12 Indar Kumar , Akanksha Tiwari

In this contribution, we establish a model for multichannel cognitive radio networks (CRNs) using the theory of priority queues. This model enables us to conduct a performance analysis in the most general form by the derivation of the…

Networking and Internet Architecture · Computer Science 2014-01-28 Navid Tadayon , Sonia Aissa

The conventional design of real-time approaches depends heavily on the normal performance of systems and it often becomes incapacitated in dealing with catastrophic scenarios effectively. There are several investigations carried out to…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-22 A. Christy Persya , T. R. Gopalakrishnan Nair

This report considers a fairly general model of constrained queuing networks that allows us to represent both MMBP (Markov Modulated Bernoulli Processes) arrivals and time-varying service constraints. We derive a set of sufficient…

Performance · Computer Science 2014-03-18 Emilio Leonardi

A complex multi-state redundant system undergoing preventive maintenance and experiencing multiple events is being considered in a continuous time frame. The online unit is susceptible to various types of failures, both internal and…

Methodology · Statistics 2025-01-13 Juan Eloy Ruiz-Castro , Hugo Alaín Zapata-Ceballos
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