Fairness measures for queues were introduced for measuring the individual satisfaction of human customers with respect to the waiting experience. The measure which performs best in some sense is the expected discrimination frequency (DF). In contrast to competing fairness measures, up to now,...

Fairness measures for queues were introduced for measuring the individual satisfaction of human customers with respect to the waiting experience. The measure which performs best in some sense is the expected discrimination frequency (DF). In contrast to competing fairness measures, up to now,...

Abstract In this paper, we consider the Bayesian inference of M/M/𝑅 queue with 𝑅 heterogeneous servers with service rates \mu_{1},\mu_{2},\ldots,\mu_{R} , where \mu_{1}\mu_{2}\cdots\mu_{R} . Assuming multivariate gamma prior distribution for service rates and gamma prior distribution for...

In this article we give a new derivation for the waiting time distributions in an M/M/c queue with multiple priorities and a common service rate by using elementary lattice paths counting. An advantage of the approach is that it does not require inversion of the Laplace-Stieltjes transform.