We show that the "exponential decay parameter" of the waiting time in a Markov-modulated M/G/1 queue is no larger than that of the corresponding M/G/1 queue with "averaged" parameters, and we give a necessary and sufficient condition for equality. We also explore the effect of speeding up the modulation process. A key tool is a Markov-modulated fluid model.
机构:
Hong Kong Univ Sci & Technol, Dept Ind Engn & Logist Management, Kowloon, Hong Kong, Peoples R ChinaHong Kong Univ Sci & Technol, Dept Ind Engn & Logist Management, Kowloon, Hong Kong, Peoples R China
Shang, WX
Liu, LM
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机构:Hong Kong Univ Sci & Technol, Dept Ind Engn & Logist Management, Kowloon, Hong Kong, Peoples R China
Liu, LM
Li, QL
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机构:Hong Kong Univ Sci & Technol, Dept Ind Engn & Logist Management, Kowloon, Hong Kong, Peoples R China
机构:
Department of Quantitative Methods, Army Institute of Management, Alipore, Kolkata 700027, Judges Court RoadDepartment of Quantitative Methods, Army Institute of Management, Alipore, Kolkata 700027, Judges Court Road
Chowdhury S.
Mukherjee S.P.
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机构:
Department of Statistics, University of Calcutta, KolkataDepartment of Quantitative Methods, Army Institute of Management, Alipore, Kolkata 700027, Judges Court Road
机构:
Korea Univ, Dept Math, 145 Anam Ro, Seoul 02841, South KoreaKorea Univ, Dept Math, 145 Anam Ro, Seoul 02841, South Korea
Kim, Bara
Kim, Jeongsim
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机构:
Chungbuk Natl Univ, Dept Math Educ, 1 Chungdae Ro, Cheongju 28644, Chungbuk, South KoreaKorea Univ, Dept Math, 145 Anam Ro, Seoul 02841, South Korea