M/Hm/1 Queueing System

碩士 === 國立中興大學 === 應用數學系 === 85 === In the M/M/1 queueing system, the service time for a customer has an exponential distribution with a parameter μ. In this study, we assume that the service time for each customers has a m-stage hyper-expon...

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Bibliographic Details
Main Authors: Chang, Hung-Bi, 張宏碧
Other Authors: Tze-Fen Li
Format: Others
Language:zh-TW
Published: 1997
Online Access:http://ndltd.ncl.edu.tw/handle/27562705979709095521
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Summary:碩士 === 國立中興大學 === 應用數學系 === 85 === In the M/M/1 queueing system, the service time for a customer has an exponential distribution with a parameter μ. In this study, we assume that the service time for each customers has a m-stage hyper-exponential distribution, Hm. In the M/Hm/1 queueing system, its stationary distribution P(n), n=1,2,...., probability generating function and the expected number of customers in the systemare found. The M/Hm/1 queueing system generalizes the ordinary M/M/1 queueing system and the M/H2/1 queueing system.