Investigating a general service retrial queue with damaging and licensed units: an application in local area networks

Shweta Upadhyaya ()
Additional contact information
Shweta Upadhyaya: Amity University

OPSEARCH, 2020, vol. 57, issue 3, No 4, 716-745

Abstract: Abstract The idea behind queueing modeling of the proposed work originates from its applicability in various real life service systems. The performance indices obtained for the proposed model can be used to enhance the quality-of-service of many computer networks (LANs, etc.), Internet mail servers and radio communication. In these systems, packets or emails or calls are transmitted from various sources to its respective destination. During this transmission, it may be possible that a packet or an email or a call may be lost due to the effect of an unwanted unit such as ‘virus’ in computer system or ‘collision of packets’ in LANs and others. These unwanted units which force the service provider to collapse immediately are referred as ‘damaging unit’ in terms of queueing theory. This collapsed service provider is then sent for becoming renewed again by the technician present in the system, who makes it perfect after renewed process and the service provider resumes its service. The positive units (which are normal units) and the damaging units arrive to the system in Poisson fashion. We consider that the service provider furnish initial stage of compulsory service referred as ‘first stage service’ to each incoming unit while it furnish non-compulsory services (up to the number l) referred as ‘second stage service’ to only those who urge for the same. On the finish of each service or renewed process, the service provider may abandon the service system and go for break referred as vacation with a random vacation time distribution. Moreover, stochastic decomposition laws have been demonstrated for this proposed model. In addition, numerical experiments and sensitivity analysis are also carried out.

Keywords: General-service retrial queue; Collapsed service provider; SSS (second stage service); Priority; System size (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s12597-020-00440-1 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:opsear:v:57:y:2020:i:3:d:10.1007_s12597-020-00440-1

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/12597

DOI: 10.1007/s12597-020-00440-1

Access Statistics for this article

OPSEARCH is currently edited by Birendra Mandal

More articles in OPSEARCH from Springer, Operational Research Society of India
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().