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math.PR2015★ 1 cited
A Comparative Analysis of the Successive Lumping and the Lattice Path Counting Algorithms
Michael N. Katehakis, Laurens C. Smit, Floske M. Spieksma
This article provides a comparison of the successive lumping (SL) methodology with the popular lattice path counting algorithm in obtaining rate matrices for queueing models, satis…
math.PR2015★ 1 cited
Level product form QSF processes and an analysis of queues with Coxian inter-arrival distribution
Dwi Ertiningsih, Michael N. Katehakis, Laurens C. Smit +1
In this paper we study a class of Quasi-Skipfree (QSF) processes where the transition rate submatrices in the skipfree direction have a column times row structure. Under homogeneit…