Occupation times for the finite buffer fluid queue with phase-type ON-times |
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| Authors: | NJ Starreveld R Bekker M Mandjes |
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| Institution: | 1. Korteweg–de Vries Institute for Mathematics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands;2. Department of Mathematics, Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands;3. EURANDOM, Eindhoven University of Technology, Eindhoven, The Netherlands;4. CWI, Amsterdam, The Netherlands |
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| Abstract: | In this short communication we study a fluid queue with a finite buffer. The performance measure we are interested in is the occupation time over a finite time period, i.e., the fraction of time the workload process is below some fixed target level. Using an alternating renewal sequence, we determine the double transform of the occupation time; the occupation time for the finite buffer M/G/1 queue with phase-type jumps follows as a limiting case. |
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| Keywords: | Occupation time Fluid model Phase-type distribution Doubly reflected process Finite buffer queue |
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