Queueing process with excluded-volume effect
作者： Chikashi Arita
DOI: 10.1103/PHYSREVE.80.051119
关键词: Stationary state 、 Mathematics 、 Asymmetric simple exclusion process 、 Probability and statistics 、 Matrix multiplication 、 Statistical physics 、 Critical line 、 Parameter space 、 Queueing theory 、 Monotonic function 、 Statistics and Probability 、 Statistical and Nonlinear Physics 、 Condensed matter physics
摘要: We introduce an extension of the M/M/1 queueing process with a spatial structure and excluded-volume effect. The rule particle hopping is same as for totally asymmetric simple exclusion (TASEP). A stationary-state solution constructed in slightly arranged matrix product form open TASEP. obtain critical line that separates parameter space depending on whether model has stationary state. calculate average length number particles show monotonicity probability also consider generalization backward allowed alternate joined system
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