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.
- Bivariate exponential distribution
- Unfinished work
ASJC Scopus subject areas
- Statistics and Probability