We are concerned with the analysis of the waiting time distribution in an M∕M∕1 queue in which the interarrival time between the nth and the (n+1)th customers and the service time of the nth customer are correlated random variables with Downton's bivariate exponential distribution. In this paper we show that the conditional waiting time distribution, given that the waiting time is positive, is exponential.
- Bivariate exponential distribution
- Correlated queue
ASJC Scopus subject areas
- Management Science and Operations Research
- Industrial and Manufacturing Engineering
- Applied Mathematics