Availability and maintenance modeling of a batch service queuing system
PurposeThe purpose of the paper is to analyze reliability characteristics of batch service queuing system with a single server model that envisages Poisson input process and exponential service times under first come, first served (FCFS) queue discipline.Design/methodology/approachWith the help of r...
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| Published in | The International journal of quality & reliability management Vol. 39; no. 9; pp. 2138 - 2154 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Bradford
Emerald Publishing Limited
17.10.2022
Emerald Group Publishing Limited |
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| Online Access | Get full text |
| ISSN | 0265-671X 1758-6682 |
| DOI | 10.1108/IJQRM-12-2020-0407 |
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| Abstract | PurposeThe purpose of the paper is to analyze reliability characteristics of batch service queuing system with a single server model that envisages Poisson input process and exponential service times under first come, first served (FCFS) queue discipline.Design/methodology/approachWith the help of renewal theory and stochastic processes, a model has been designed to discuss the reliability and its characteristics.FindingsThe instantaneous and steady-state availability along with the maintenance model of the systems subject to generalized M/Mb/1 queuing model is derived, and a few particular cases for availability are obtained as well. For supporting the developed model, a case study on electrical distribution system (EDS) has been illustrated, which also includes a comparison for the system subject to M/Mb/1 queuing model and the system without any queue (delay).Originality/valueIt is a quite realistic model that may aid to remove congestion in the system while repairing. |
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| AbstractList | PurposeThe purpose of the paper is to analyze reliability characteristics of batch service queuing system with a single server model that envisages Poisson input process and exponential service times under first come, first served (FCFS) queue discipline.Design/methodology/approachWith the help of renewal theory and stochastic processes, a model has been designed to discuss the reliability and its characteristics.FindingsThe instantaneous and steady-state availability along with the maintenance model of the systems subject to generalized M/Mb/1 queuing model is derived, and a few particular cases for availability are obtained as well. For supporting the developed model, a case study on electrical distribution system (EDS) has been illustrated, which also includes a comparison for the system subject to M/Mb/1 queuing model and the system without any queue (delay).Originality/valueIt is a quite realistic model that may aid to remove congestion in the system while repairing. Purpose>The purpose of the paper is to analyze reliability characteristics of batch service queuing system with a single server model that envisages Poisson input process and exponential service times under first come, first served (FCFS) queue discipline.Design/methodology/approach>With the help of renewal theory and stochastic processes, a model has been designed to discuss the reliability and its characteristics.Findings>The instantaneous and steady-state availability along with the maintenance model of the systems subject to generalized M/Mb/1 queuing model is derived, and a few particular cases for availability are obtained as well. For supporting the developed model, a case study on electrical distribution system (EDS) has been illustrated, which also includes a comparison for the system subject to M/Mb/1 queuing model and the system without any queue (delay).Originality/value>It is a quite realistic model that may aid to remove congestion in the system while repairing. |
| Author | Singh, S.B. Agarwal, Shweta |
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| Keywords | M/M Maintenance Reliability Steady-state availability 1 queuing model |
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| SubjectTerms | Availability Customer services Failure Maintenance Preventive maintenance Queuing Queuing theory Reliability analysis Servers Stochastic processes |
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