A note on the distributional Little’s law for discrete-time queues with D-MAP arrivals and its application

Autor:	Won Seok Yang, Nam K. Kim, Mohan L. Chaudhry, Kilhwan Kim
Rok vydání:	2013
Předmět:	D/M/1 queue Mathematical optimization M/G/k queue Applied Mathematics M/D/1 queue M/M/1 queue M/D/c queue G/G/1 queue Computer Science::Performance Modeling and Simulation Computer Science::Networking and Internet Architecture M/G/1 queue Bulk queue Mathematics
Zdroj:	Applied Mathematical Modelling. 37:7499-7503
ISSN:	0307-904X
DOI:	10.1016/j.apm.2012.09.046
Popis:	For a class of discrete-time FIFO queueing systems with D-MAP (discrete-time Markovian arrival process), we present a distributional Little’s law that relates the distribution of the stationary number of customers in system (queue) with that of the stationary number of slots a customer spends in system (queue). Taking the multi-server D-MAP/D/c queue as an example, we demonstrate how this relation can be utilized to get the desired distribution of the number of customers. Sample numerical results are presented at the end.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d21caf0fca34af0ed38cd6a0ceb404b2 https://doi.org/10.1016/j.apm.2012.09.046 Zobrazit plný text záznamu Full Text from ScienceDirect