Analysis of Markovian queueing system with second optional service operating under the triadic policy

P. Vijaya Laxmi (), E. Girija Bhavani and K. Jyothsna
Additional contact information
P. Vijaya Laxmi: Andhra University
E. Girija Bhavani: Andhra University
K. Jyothsna: Vignan’s Institute of Engineering for Women

OPSEARCH, 2023, vol. 60, issue 1, No 11, 256-275

Abstract: Abstract In this paper, we investigate an M/M/2 queueing system with a second optional service that operates under a triadic (0, Q, N, M) policy. The stability condition and stationary probability distribution of the system size are computed by adopting the matrix-geometric method. Numerous system performance measures are also derived. The quadratic fit search method is applied to the cost optimization problem in order to optimize service rates during the first essential service and the second optional service. Finally, numerical results are presented for the illustration of the effect of model parameters.

Keywords: First essential service; Second optional service; Triadic policy; Matrix-geometric method; Quadratic fit search method.; 60K25; 65K30 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s12597-022-00588-y 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:60:y:2023:i:1:d:10.1007_s12597-022-00588-y

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

DOI: 10.1007/s12597-022-00588-y

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 ().