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標題: 有限容量M/M/R排隊系統含有第二選擇服務之成本分析
Cost analysis of a finite capacity M/M/R queueing system with second optional service
作者: 郭育廷
Kuo, Yu-Ting
關鍵字: 成本;Cost;第一主要服務;第二選擇服務;矩陣-幾何法;敏感度分析;first essential service (FES) channel;second optional service (SOS) channel;matrix-geometric method;sensitivity analysis
出版社: 應用數學系所
引用: References [1] Al-Jararha, J. and Madan, K.C. (2003) An M/G/1 queue with second optional service with general service time distribution. Information and Management Sciences 14, 47-56. [2] Arumuganathan, R. and Jeyakumar, S. (2005) Steady state analysis of a bulk queue with multiple vacations, setup times with N-policy with closedown times. Applied Mathematical Modelling 29 (10), 972-986. [3] Choudhury, G. and Paul, M. (2006) A batch arrival queue with a second optional service channel under N-policy. Stochastic Analysis and Applications 24, 1-21. [4] Hilliard, J.E., (1976) An approach to cost analysis of maintenance float systems. AIIE Transaction 8, 128-133. [5] Ke, J.-C., (2007) An M[x]/G/1 system with startup server and J additional options for service. Applied Mathematical Modelling, (in press) [6] Madan K.C., (2000) An M/G/1 queue with second optional service. Queueing Systems 34, 37-46. [7] Medhi, J., (2002) A single server Poisson input queue with a second optional channel. Queueing Systems 42, 239-242. [8] Neuts, M.F., (1981) Matrix Geometric Solutions in Stochastic Models: an Algorithmic Approach. The John Hopkins University Press: Baltimore. [9] Wang, J., (2004) An M/G/1 queue with second optional service and server breakdowns. Computers and Mathematics with Applications 47, 1713-1723.
theta (0<=theta<=1) 的機率會繼續使用第二選擇
服務,或有(1−theta) 的機率會選擇離開系統。我們使用

In this thesis, we have studied a finite capacity M/M/R
queueing system with second optional service (SOS)
channel. The interarrival times of arriving customers
follow an exponential distribution. The service times of
the first essential service (FES) channel and the second
optional service channel are assumed to follow an exponential distribution. A customer may leave the system
either after the first essential service channel with
probability (1−theta) or at the completion of the first
essential service channel may immediately go for a second
optional service channel with probability theta (0<=theta<=1). Using matrix-geometric method, we obtain
the steady-state probabilities and various system performance measures. Cost model is developed to determine
the optimal number of channels and the optimal system
capacity, simultaneously. The minimum expected cost, the
optimal number of channels, the optimal system capacity, and system performance measures are evaluated for some
specified system parameters' values. Sensitivity
investigation for the expected cost with respect to
specified parameters is also performed.
其他識別: U0005-2306200717420100
Appears in Collections:應用數學系所

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