Strategic behavior of customers in a second optional service queue with service interruptions

P. Vijaya Laxmi () and E. Girija Bhavani
Additional contact information
P. Vijaya Laxmi: Andhra University
E. Girija Bhavani: Andhra University

OPSEARCH, 2024, vol. 61, issue 2, No 11, 762-784

Abstract: Abstract This study considers a single server Markovian queueing system with a second optional service and service interruptions. The service is interrupted during the busy period of both the first essential service and the second optional service. The customer whose service is hindered needs to go through the process from the earliest starting point on consummation of interference or continued from where it has halted. In light of the linear reward cost structure, the customer’s joining strategies are investigated in two cases; in particular, fully unobservable and almost unobservable, as per the server’s state information available to the arriving customers. First, we obtain the stability condition and stationary distribution of the system for those cases. Thereafter, we determine the customer equilibrium strategies, and some numerical illustrations are presented.

Keywords: Queue; Second optional service; Fully unobservable; Almost unobservable; Joining strategies; Repeat or resumption; 60K25; 65K30 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s12597-023-00704-6 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:61:y:2024:i:2:d:10.1007_s12597-023-00704-6

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

DOI: 10.1007/s12597-023-00704-6

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 ().