Batch service systems with heterogeneous servers

Jan-Kees Ommeren (), Niek Baer (), Nishant Mishra () and Debjit Roy ()
Additional contact information
Jan-Kees Ommeren: University of Twente
Niek Baer: University of Twente
Nishant Mishra: Center for Operations Research and Econometrics, UCLouvain
Debjit Roy: Indian Institute of Management Ahmedabad

Queueing Systems: Theory and Applications, 2020, vol. 95, issue 3, No 3, 269 pages

Abstract: Abstract Bulk-service multi-server queues with heterogeneous server capacity and thresholds are commonly seen in several situations such as passenger transport or package delivery services. In this paper, we develop a novel decomposition-based solution approach for such queues using arguments from renewal theory. We then obtain the distribution of the waiting time measure for multi-type server systems. We also obtain other useful performance measures such as utilization, expected throughput time, and expected queue lengths.

Keywords: Heterogeneous capacity; Threshold service; Decomposition; 60K25; 90B22 (search for similar items in EconPapers)
Date: 2020
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/s11134-020-09654-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:queues:v:95:y:2020:i:3:d:10.1007_s11134-020-09654-y

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/11134/

DOI: 10.1007/s11134-020-09654-y

Access Statistics for this article

Queueing Systems: Theory and Applications is currently edited by Sergey Foss

More articles in Queueing Systems: Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().