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On the Inter-Departure Times in M/D/1/Bon Queue With Queue-Length Dependent Service and Deterministic/Exponential Vacations
Published in Institute of Electrical and Electronics Engineers Inc.
2019
Volume: 7
   
Pages: 1439 - 1453
Abstract
We derive the distribution of inter-departure times of a finite-buffer single-server queue with Poisson arrival process and queue-length-dependent service times, where the server goes to vacation if either the queue is emptied or a limited number (R1) of packets are served, whichever occurs first, in the current busy period. We consider two types of vacation distributions: 1) deterministic and 2) exponential. Queue-length distribution at embedded points is derived first, then, the distribution and variance of inter-departure times are derived, for both types of vacations. The simulation results are in good agreement with the derived analytical results. The above framework would be useful at the receiver in modeling and analyzing the jitter and the waiting time of time-division multiplexing (TDM) emulated packets in TDM over packet-switched network (TDM over PSN) technology as a function of a buffer size. © 2013 IEEE.
About the journal
JournalData powered by TypesetIEEE Access
PublisherData powered by TypesetInstitute of Electrical and Electronics Engineers Inc.
ISSN21693536
Open AccessYes
Concepts (15)
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    Analytical models
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    Electromagnetic compatibility
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    Jitter
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    Packet switching
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    Poisson distribution
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    Receivers (containers)
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    Servers
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    Time division multiplexing
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    DEPARTURE TIME
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    Queue lengths
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    QUEUEING ANALYSIS
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    SERVICE DISCIPLINES
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    VACATION QUEUE
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    Variance
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    Queueing theory