Browsing by Keywords "Lindley equation"
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A matrix analytical method for the discrete time Lindley equation using the generalized Schur decomposition
(ACM, 2006)In this paper, we study the discrete time Lindley equation governing an infinite size GI/GI/1 queue. In this queuing system, the arrivals and services are independent and identically distributed but they obey a discrete ... -
Solving the single server semi-Markov queue with matrix exponential kernel matrices for interarrivals and services
(ACM, 2006)Markov renewal processes with semi-Markov kernel matrices that have matrix-exponential representations form a superset of the well-known phase-type renewal process, Markovian arrival process, and the recently introduced ... -
System-theoretical algorithmic solution to waiting times in semi-Markov queues
(ELSEVIER, 2009-05-07)Markov renewal processes with matrix-exponential semi-Markov kernels provide a generic tool for modeling auto-correlated interarrival and service times in queueing systems. In this paper, we study the steady-state actual ...
