The k -out-of- n: G System Viewed as a Multi-Server Queue

Achyutha Krishnamoorthy (), Anu Nuthan Joshua () and Ambily P. Mathew
Additional contact information
Achyutha Krishnamoorthy: Department of Mathematics, CMS College Kottayam, Kottayam 686001, India
Anu Nuthan Joshua: Department of Mathematics, Union Christian College, Aluva 683102, India
Ambily P. Mathew: Department of Mathematics, CMS College Kottayam, Kottayam 686001, India

Mathematics, 2024, vol. 12, issue 2, 1-19

Abstract: This paper extends the k -out-of- n : G reliability system to a multi-server queue. We study a multi-server reliability-queuing model with the N -policy of repair. The queuing system considered here has n servers, each of which has identically and exponentially distributed service times with parameter μ . Servers are subject to breakdown at an exponential rate γ . The repair process follows the N -policy of repair. Although these servers work independently of each other, service can be provided only when k functional servers are available in the system. We study the model in the steady state, using the matrix analytic method. We evaluate some associated performance measures and provide graphical/numerical illustrations. We consider an optimization problem, and the results of the study are presented.

Keywords: reliability; k -out of n system; N -policy; HAP system; breakdown (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/2/210/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/2/210/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:2:p:210-:d:1315242

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().