Waiting‐time distributions for bulk arrival, bulk service queues with vehicle‐holding and cancellation strategies

Warren Buckler Powell

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

Procedures are developed for numerically calculating the waiting‐time distribution for bulk arrival, bulk service queues operated under a vehicle‐cancellation or a vehicle‐holding strategy, as well as for queues where vehicles depart regardless of the length of the queue. Experiments indicate that the mean and variance of the calculated distribution agree very closely with analytical expressions obtained from transforms. The results can be used to study the service reliability of different dispatching strategies. Alternatively, the results may be used to evaluate simpler approximations for the higher moments.

Original languageEnglish (US)
Pages (from-to)207-227
Number of pages21
JournalNaval Research Logistics (NRL)
Volume34
Issue number2
DOIs
StatePublished - Apr 1987

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Ocean Engineering
  • Management Science and Operations Research

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