In this paper, we have obtained explicit expressions for the time dependent probabilities of the M/M/1 queue with server vacations under a multiple vacation scheme. The corresponding steady state probabilities have been obtained. We also obtain the time dependent performance measures of the systems.
机构:
School of Science, Yanshan University, No. 438, Hebei Avenue, Qinhuangdao, ChinaSchool of Science, Yanshan University, No. 438, Hebei Avenue, Qinhuangdao, China
Mao, Bingwei
Wang, Fuwei
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School of Information Science and Engineering, Yanshan University, No. 438, Hebei Avenue, Qinhuangdao, ChinaSchool of Science, Yanshan University, No. 438, Hebei Avenue, Qinhuangdao, China
Wang, Fuwei
Zhao, Hai
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School of Science, Yanshan University, No. 438, Hebei Avenue, Qinhuangdao, ChinaSchool of Science, Yanshan University, No. 438, Hebei Avenue, Qinhuangdao, China
机构:
College of Sciences, Yanshan University, Hebei
College of Information Science and Engineering, Yanshan University, HebeiCollege of Sciences, Yanshan University, Hebei
Mao B.-W.
Wang F.-W.
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College of Information Science and Engineering, Yanshan University, HebeiCollege of Sciences, Yanshan University, Hebei
Wang F.-W.
Tian N.-S.
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College of Sciences, Yanshan University, HebeiCollege of Sciences, Yanshan University, Hebei
机构:
Fuyang Normal Coll, Dept Math, Fuyang 236032, Peoples R China
Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R ChinaFuyang Normal Coll, Dept Math, Fuyang 236032, Peoples R China
Zhang, Mian
Hou, Zhenting
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Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R ChinaFuyang Normal Coll, Dept Math, Fuyang 236032, Peoples R China