Mathematical analysis on production control in manufacturing units under disaster and repair with compulsory vacation

S. Jeyakumar () and B. Logapriya ()
Additional contact information
S. Jeyakumar: Government Arts College
B. Logapriya: Sri Krishna College of Engineering and Technology

OPSEARCH, 2025, vol. 62, issue 2, No 2, 532-549

Abstract: Abstract The single server queuing system with optional second service and compulsory vacation that is subjected to disaster is considered in which an arriving customer is provided with the first essential service. The study focuses on optimizing production schedules to minimize cost. An arriving customer can request a second optional service with some probability. After the completion of services, the server takes a compulsory vacation. Disaster occurs independently only when the server is busy rendering the first essential service, in which case it removes all the customers from the system. The repair period is initiated, followed by the disaster. The system is analysed using the supplementary variable technique to establish the probability generating functions of a queue size and various performance measures of the model. The special cases and numerical results of the prescribed model are established. These findings provide a thoughtful insights for a effective production management practices offering guidance for manufacturing decision makers under adverse conditions.

Keywords: Second optional service; Supplementary variable technique; Compulsory vacation; Disaster; Bulk arrival (search for similar items in EconPapers)
JEL-codes: C44 (search for similar items in EconPapers)
Date: 2025
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s12597-024-00804-x 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:62:y:2025:i:2:d:10.1007_s12597-024-00804-x

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

DOI: 10.1007/s12597-024-00804-x

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 ().