David M. Lucantoni
David M. Lucantoni has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Gagan L. Choudhury
AT&T Labs
1 shared publication - Marcel F. Neuts
AT&T Bell Laboratories , Room 3K-601, Holmdel, New Jersey, 07733
1 shared publication - Ward Whitt
AT&T Labs, Florham Park, New Jersey 07932-0971
1 shared publication
Latest Publications
- 1 January 1994
- Published by Taylor & Francis in Communications in Statistics. Stochastic Models
- Vol. 10 (3) , 575-598
Some steady-state distributions for theMAP /SM /1 queue
A detailed discussion of the stationary distributions of the classical descriptors of the MAP/SM/l queue with group arrivals is presented. As that model generalizes a large number of single server queueing models, the paper contains a unified mathematical treatment and generalization of many classical results
- 1 January 1994
- Published by Taylor & Francis in Communications in Statistics. Stochastic Models
- Vol. 10 (3) , 575-598
Some steady-state distributions for theMAP /SM /1 queue
A detailed discussion of the stationary distributions of the classical descriptors of the MAP/SM/l queue with group arrivals is presented. As that model generalizes a large number of single server queueing models, the paper contains a unified mathematical treatment and generalization of many classical results
- 1 January 1994
- Published by Taylor & Francis in Communications in Statistics. Stochastic Models
- Vol. 10 (1) , 145-182
The transient BMAP/G/l queue
We derive the two-dimensional transforms of the transient workload and queue-length distributions in the single-server queue with general service times and a batch Markovian arrival process (BMAP). This arrival process includes the familiar phase-type renewal process and the Markov modulated Poisson process as special cases, as well as superpositions of these processes, and allows correlated interarrival times and batch sizes. Numerical results are obtained via two-dimensional transform inversion algorithms based on the Fourier-series method. From the numerical examples we see that predictions of system performance based on transient and stationary performance measures can be quite different
- 1 January 1994
- Published by Taylor & Francis in Communications in Statistics. Stochastic Models
- Vol. 10 (1) , 145-182
The transient BMAP/G/l queue
We derive the two-dimensional transforms of the transient workload and queue-length distributions in the single-server queue with general service times and a batch Markovian arrival process (BMAP). This arrival process includes the familiar phase-type renewal process and the Markov modulated Poisson process as special cases, as well as superpositions of these processes, and allows correlated interarrival times and batch sizes. Numerical results are obtained via two-dimensional transform inversion algorithms based on the Fourier-series method. From the numerical examples we see that predictions of system performance based on transient and stationary performance measures can be quite different