From the matrix-geometric to the matrix-exponential
Queueing Systems: Theory and Applications
The Fourier-series method for inverting transforms of probability distributions
Queueing Systems: Theory and Applications - Numerical computations in queues
Queueing analysis of polling models: progress in 1990-1994
Frontiers in queueing
The MMAP[K]/PH[K]/1 queues with a last-come-first-served preemptive service discipline
Queueing Systems: Theory and Applications
The BMAP/G/1 QUEUE: A Tutorial
Performance Evaluation of Computer and Communication Systems, Joint Tutorial Papers of Performance '93 and Sigmetrics '93
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications
Multi-server retrial queue with negative customers and disasters
Queueing Systems: Theory and Applications
A traffic based decomposition of two-class queueing networks with priority service
Computer Networks: The International Journal of Computer and Telecommunications Networking
Multi-class Markovian arrival processes and their parameter fitting
Performance Evaluation
BMAP/G/1 queue with correlated arrivals of customers and disasters
Operations Research Letters
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This paper studies a single server queueing system with multiple types of customers. The first part of the paper discusses some modeling issues associated with the Markov arrival processes with marked arrivals (MMAP[K], where K is an integer representing the number of types of customers). The usefulness of MMAP[K] in modeling point processes is shown by a number of interesting examples. The second part of the paper studies a single server queueing system with an MMAP[K] as its input process. The busy period, virtual waiting time, and actual waiting times are studied. The focus is on the actual waiting times of individual types of customers. Explicit formulas are obtained for the Laplace–Stieltjes transforms of these actual waiting times.