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標題: M/M/R排隊系統含有限容量及多種到達形式之成本分析
Cost Analysis of an M/M/R Queueing System
作者: 陳慶豪
Chen, Ching-Hau
關鍵字: two arrival modes;兩種到達模式;multiple arrival modes;cost;sensitivity analysis;多種到達模式;成本;敏感度分析
出版社: 應用數學系

In this paper, we study the infinite source M/M/R queueing system with finite capacity N, where customers have multiple arrival modes. Arrival times of the customers obey the negative exponential distributions with parameters λi for the respective arrival mode i ( i = 1, 2, …, K ). Service times of the servers also follow the negative exponential distributions with parameters μi for the respective service mode i ( i = 1, 2, …, K ). The steady-state solutions and the expressions of the system characteristics are derived. We construct two cost models to determine the optimal solutions. In cost model 1, we determine the optimal number of servers. In cost model 2, we determine the optimal number of servers and the optimal system capacity, simultaneously. We present the numerical results for several system characteristics based on assumed numerical values given to the system parameters under optimal operating conditions. Sensitivity analysis is also investigated.
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