Exclusive Queueing Process with Discrete Time
作者： Daichi Yanagisawa , Daichi Yanagisawa , Chikashi Arita
DOI: 10.1007/S10955-010-0075-9
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摘要: In a recent study (Arita in Phys. Rev. E 80(5):051119, 2009), an extension of the M/M/1 queueing process with excluded-volume effect as totally asymmetric simple exclusion (TASEP) was introduced. this paper, we consider its discrete-time version. The update scheme take is parallel one. A stationary-state solution obtained slightly arranged matrix product form open TASEP update. We find phase diagram for existence stationary state. critical line which separates parameter space into regions and without state can be written terms current TASEP. calculate average length system number particles.
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