Batch service systems with heterogeneous servers

Jan Kees van Ommeren*, Niek Baer, Nishant Mishra, Debjit Roy

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)
85 Downloads (Pure)


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.

Original languageEnglish
Pages (from-to)251-269
Number of pages19
JournalQueueing systems
Issue number3-4
Early online date11 Jun 2020
Publication statusPublished - Aug 2020


  • UT-Hybrid-D
  • Heterogeneous capacity
  • Threshold service
  • Decomposition


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