QUEUES IN WHICH CUSTOMERS RECEIVE SIMULTANEOUS SERVICE FROM A RANDOM NUMBER OF SERVERS: A SYSTEM POINT APPROACH.

Percy H. Brill, Linda Green

Research output: Contribution to journalArticlepeer-review

55 Citations (Scopus)

Abstract

An examination is made of a multi-server queueing system with Poisson arrivals in which customers require simultaneous service from a random number of servers. Servers assigned to the same customer begin and end service concurrently. Service times are, in general, assumed to be exponentially distributed. A system point approach is presented as a framework for obtaining the waiting time distribution for each customer type. Explicit solutions are derived for the two-server system.

Original languageEnglish
Pages (from-to)51-68
Number of pages18
JournalManagement Science
Volume30
Issue number1
DOIs
Publication statusPublished - 1984

ASJC Scopus Subject Areas

  • Strategy and Management
  • Management Science and Operations Research

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