<i>N</i>-Policy Machine Repair System with Mixed Standbys and Unreliable Server

Jain, Madhu; Bhargava, Charu

doi:10.1080/16843703.2009.11673192

Cited by 19 publications

(6 citation statements)

References 25 publications

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“…A multi-unit repairable queueing system with state dependent rates was studied by Jain et al [65]. Jain and Bhargawa [47] focused on an unreliable M/G/1 queueing system with set-up time under K-phase of optional repair and they have also obtained the queueing and reliability indices to predict the queueing behaviour of the system. Jain and Preeti [53] have incorporated the concept of controllable rates to a multi-component machining system.…”

Section: Queueing Models With Mixed Standbysmentioning

confidence: 99%

Survey on queueing models with standbys support

Kolledath

Kumar

Pippal³

2018

YUGOSLAV J OPERATION

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This paper is a survey article on queueing models with standbys support. Due to many real life applications of queueing models, it has become an interesting area for researchers and a lot of research work has been exerted so far. It is worthwhile to examine the performance based analysis for queueing modelling system as it provides a valuable insight to the tractability of the system and accelerates its efficiency. The provision of standbys to the queueing modelling of a real system is needed for smooth functioning in the presence of its unavoidable failures. The present survey provides a dig into the research work done, and emphasis the sequential developments on queueing models with standbys support.

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Section: Queueing Models With Mixed Standbysmentioning

confidence: 99%

Survey on queueing models with standbys support

Kolledath

Kumar

Pippal³

2018

YUGOSLAV J OPERATION

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“…As the queue size reaches at least , the server instantly starts working and provides two stages of service in succession to each customer. Jain et al [50] studied the -policy for two-phase service system with mixed standbys and unreliable server. An M /G/1 queue with an additional phase of second optional service under -policy consisting of a breakdown period and a delay period was examined by Choudhury et al [51].…”

Section: Control Policies For Queueing Modelsmentioning

confidence: 99%

Mathematical Analysis of Queue with Phase Service: An Overview

Sharma

2014

Advances in Operations Research

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We discuss various aspects of phase service queueing models. A large number of models have been developed in the area of queueing theory incorporating the concept of phase service. These phase service queueing models have been investigated for resolving the congestion problems of many day-to-day as well as industrial scenarios. In this survey paper, an attempt has been made to review the work done by the prominent researchers on the phase service queues and their applications in several realistic queueing situations. The methodology used by several researchers for solving various phase service queueing models has also been described. We have classified the related literature based on modeling and methodological concepts. The main objective of present paper is to provide relevant information to the system analysts, managers, and industry people who are interested in using queueing theory to model congestion problems wherein the phase type services are prevalent.

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“…They applied the direct search method to determine the optimal threshold N at the minimum cost. Jain and Bhargava [12] performed cost analysis of the N-policy for the machine repair problem with mixed standbys and an unreliable server. An N-policy M X /M/1 queueing system with server startup and breakdowns was analyzed by Vemuri et al [13], where service was in two phases.…”

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confidence: 99%

Optimization Analysis of the N Policy M/G/1 Queue with Working Breakdowns

2020

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This paper deals with the N policy M/G/1 queue with working breakdowns. The supplementary variable and probability generating function techniques are implemented to develop the steady-state results. The stability condition of a stable queue, as well as several system performance measures, are also derived. A two-stage optimization method is employed to determine the optimal threshold N and the optimal joint values of two mean service rates until the stability constraint is satisfied. To demonstrate the effectiveness of two-stage optimization method, some numerical results are presented. Finally, we carry out sensitivity analysis for the expected cost function with numerical illustrations.Symmetry 2020, 12, 583 2 of 16 of maximum entropy to investigate the N-policy M/G/1 queue with server breakdowns and general startup times. Using the same approach, Ke and Lin [10] approximated the steady-state probability distributions of the queue length for the N-policy M [x] /G/1 queue with an unreliable server and a single vacation. The optimal control of the N-policy M/G/1 queueing system with server breakdowns and general startup times was examined by Wang et al. [11]. They applied the direct search method to determine the optimal threshold N at the minimum cost. Jain and Bhargava [12] performed cost analysis of the N-policy for the machine repair problem with mixed standbys and an unreliable server. An N-policy M X /M/1 queueing system with server startup and breakdowns was analyzed by Vemuri et al. [13], where service was in two phases. Singh et al. [14] focused on the investigation of the N-policy queue with an unreliable server, state-dependent arrival rates, two phases of service, and m phases of repair. Moreover, Yang and Ke [15] applied the supplementary variable technique to analyze the (p, N)-policy M/G/1 queue with an unreliable server and a single vacation. Chen and Wang [16] address the sensitivity analyses of a retrial machine repair problem with warm standby units and a single server under the N-policy.Over the years, there has been extensive literature on N-policy queues with server breakdowns, in which the server stops working completely during the breakdown period. However, there are no studies investigating the N-policy queue with working breakdowns. This queueing model accommodates many real-world systems, such as computer systems, assembly systems, and manufacturing systems. Thus, it motivates us to focus on the analysis of the N-policy M/G/1 queue with working breakdowns. The purpose of this paper is three-fold.

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N-Policy Machine Repair System with Mixed Standbys and Unreliable Server

Cited by 19 publications

References 25 publications

Survey on queueing models with standbys support

Survey on queueing models with standbys support

Mathematical Analysis of Queue with Phase Service: An Overview

Optimization Analysis of the N Policy M/G/1 Queue with Working Breakdowns

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