Unfinished work for the queue under D-policy with incomplete information on service times

Bara Kim, Jeongsim Kim, Jerim Kim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We will consider the queueing model under D-policy with incomplete information on service times. The operator does not know the actual service time of an arriving customer at each arrival epoch, but the correlated amount of the service time is known. We derive the Laplace-Stieltjes transform of the unfinished work and then obtain the mean and variance of the unfinished work. In numerical examples, the distribution function of the unfinished work is calculated by numerically inverting the Laplace-Stieltjes transform. The mean and variance of the unfinished work are depicted.

Original languageEnglish
Pages (from-to)205-213
Number of pages9
JournalJournal of the Korean Statistical Society
Volume42
Issue number2
DOIs
Publication statusPublished - 2013 Jun

Keywords

  • Bivariate exponential distribution
  • D-policy
  • Unfinished work

ASJC Scopus subject areas

  • Statistics and Probability

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