Waiting time probabilities in the M/G/1+M queue

Chihoon Lee, Jianqiang C. Wang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We consider an M/G/1 queueing system where the customers may leave the queue if their services do not commence before an exponentially distributed random time. The (conditional) offered waiting time distribution is approximated by a gamma distribution via matching the first and second moments of the actual waiting time. A simulation study is conducted to assess the accuracy of the approximation and it reveals that the approximation performs satisfactorily under general conditions on service time distributions.

Original languageEnglish
Pages (from-to)72-83
Number of pages12
JournalStatistica Neerlandica
Volume65
Issue number1
DOIs
StatePublished - Feb 2011

Keywords

  • Gamma distribution
  • Impatient customers
  • Moment matching
  • Offered waiting time distribution
  • Queueing system with customer abandonment

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