An M/M/2 Queueing System with Heterogeneous Servers Including One with Working Vacation
نویسندگان
چکیده
منابع مشابه
An M/M/2 Queueing System with Heterogeneous Servers Including One with Working Vacation
This paper analyzes anM/M/2 queueing systemwith two heterogeneous servers, one of which is always available but the other goes on vacation in the absence of customers waiting for service. The vacationing server, however, returns to serve at a low rate as an arrival finds the other server busy. The system is analyzed in the steady state using matrix geometric method. Busy period of the system is...
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This paper analyzes an M/M/2 queueing system with two heterogeneous servers. Both servers goes on vacation when there is no customers waiting for service after this server 1 is always available but the other goes on vacation whenever server 2 is idle. The vacationing server however, returns to serve at a low rate as an arrival finds the other server busy. The system is analyzed in the steady st...
متن کاملanalyses of a markovian queue with two heterogeneous servers and working vacation
this paper analyzes an m/m/2 queueing system with two heterogeneous servers. both servers goes on vacation when there is no customers waiting for service after this server 1 is always available but the other goes on vacation whenever server 2 is idle. the vacationing server however, returns to serve at a low rate as an arrival finds the other server busy. the system is analyzed in the steady st...
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We study the problem of optimally controlling a three server queueing system. Arriving customers join a single queue, which is served by three servers, 8 1 , 52 and 53. The servers are exponential, but of different rates. The total expected time a customer spends in the system is to be minimized. We show that the optimal policy can be characterized by three thresholds, m3,mb and mi, such that: ...
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ژورنال
عنوان ژورنال: International Journal of Stochastic Analysis
سال: 2012
ISSN: 2090-3332,2090-3340
DOI: 10.1155/2012/145867