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Optimization of a PH/PH/1/N Queue with Controllable Service Time and Partial Information
Author(s) -
Rodrigues Rita de Cassia M.,
De Carvalho Solon V.
Publication year - 2001
Publication title -
international transactions in operational research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.032
H-Index - 52
eISSN - 1475-3995
pISSN - 0969-6016
DOI - 10.1111/1475-3995.00262
Subject(s) - computer science , queue , queueing theory , service (business) , mathematical optimization , phase type distribution , queueing system , markov chain , markov decision process , queue management system , markovian arrival process , real time computing , distributed computing , markov process , operations research , computer network , mathematics , statistics , economy , economics , machine learning
We study a queueing system where both inter‐arrival and service times are distributed according to phase‐type distributions. This system is modeled as a Markov decision process with full and partial information. The objective is to minimize the long‐run average cost of the system. Numerical results are presented.