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Some Characterizations of the Exponential Distribution related to a Single-server Queueing System with an Unreliable Server

Consider a single-server queueing system with an unreliable server and service repetition. In this system, if the service is interrupted, the service is restarted anew immediately and ends whenever the service period is failure free. In this paper, we give some characterization of the
exponential distribution by the constancy of total service time in this system. The result can be viewed as a kind of memoryless property of the exponential distribution.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0720102-215958
Date20 July 2002
CreatorsWu, Sin-Ru
Contributorsnone, none, none
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0720102-215958
Rightscampus_withheld, Copyright information available at source archive

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