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An M/G/1 queue under hysteretic vacation policy with an early startup and un-reliable server

โœ Scribed by Jau-Chuan Ke


Publisher
Springer
Year
2006
Tongue
English
Weight
126 KB
Volume
63
Category
Article
ISSN
0340-9422

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โœ Jau-Chuan Ke ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 645 KB

This paper studies the vacation policy of an M/G/1 queueing system with an unreliable server and startup. After all the customers are served in the queue exhaustively, the server deactivates and takes at most J vacations of constant time length T repeatedly until at least one customer is found waiti

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We consider the M [x] /G/1 queueing system, in which the server operates N policy and a single vacation. As soon as the system becomes empty the server leaves for a vacation of random length V . When he returns from the vacation and the system size is greater than or equal to a threshold value N , h