We consider a system in which customers join upon arrival the shortest of two single-server queues. The interarrival times between customers are Erlang distributed and the service times of both servers are exponentially distributed. Under these assumptions, this system gives rise to a Markov chain on a multi-layered quarter plane. For this Markov chain we derive the equilibrium distribution using the compensation approach. The obtained expression for the equilibrium distribution matches and re??nes heavy-traffic approximations and tail asymptotics obtained earlier in
the literature.
Keywords: random walks in the quarter plane, compensation approach, join the shorter queue, tail asymptotics
Originele taal-2 | Engels |
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Plaats van productie | Eindhoven |
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Uitgeverij | Eurandom |
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Aantal pagina's | 30 |
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Status | Gepubliceerd - 2011 |
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Naam | Report Eurandom |
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Volume | 2011039 |
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ISSN van geprinte versie | 1389-2355 |
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