A two-queue finite-buffer polling model with limited service and state-dependent service times

Sikha, Madhu Babu; Manivasakan, R.

doi:10.1109/conecct.2014.6740345

Cited by 5 publications

(3 citation statements)

References 12 publications

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“…The exhaustive type k-limited vacation queuing systems were studied in [19]- [22], where the server takes a vacation when either a queue has been emptied or a predefined number of k customers have been served during the visit. In [19], the distributions of queue length, waiting time and busy period were obtained by using the embedded Markov chain and a combination of the supplementary variables and sample biasing techniques.…”

Section: A Previous Work Related To Epons With Gated-limited Servicementioning

confidence: 99%

“…In [20], [21], the authors used matrixanalytic techniques to iteratively calculate the queue length distribution. In [22], a polling system with two priority queues and k-limited service discipline was analyzed, where the high priority queue is served with queue length dependent service time while the low priority queue is served with constant service time. The high priority queue length distribution at departure instants were derived by the embedded Markov chain.…”

Section: A Previous Work Related To Epons With Gated-limited Servicementioning

confidence: 99%

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Optimum Transmission Window for EPONs With Limited Service

Huang

Lee

2019

IEEE Access

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This paper studies the Ethernet Passive Optical Network (EPON) with gated-limited service. The transmission window (TW) is limited in this system to guaranteeing a bounded delay experienced by disciplined users, and to constrain malicious users from monopolizing the transmission channel. Thus, selecting an appropriate TW size is critical to the performance of EPON with gated-limited service discipline. To investigate the impact of TW size on packet delay, we derive a generalized mean waiting time formula for M/G/1 queue with vacation times and gated-limited service discipline. A distinguished feature of this model is that there are two queues in the buffer of each optical network unit (ONU): one queue is inside the gate and the other one is outside the gate. Furthermore, based on the Chernoff bound of queue length, we provide a simple rule to determine an optimum TW size for gated-limited service EPONs. Analytic results reported in this paper are all verified by simulations.Index Terms-Ethernet Passive Optical Network (EPON), Gated-Limited Service, M/G/1.

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Section: A Previous Work Related To Epons With Gated-limited Servicementioning

confidence: 99%

Section: A Previous Work Related To Epons With Gated-limited Servicementioning

confidence: 99%

Optimum Transmission Window for EPONs With Limited Service

Huang

Lee

2019

IEEE Access

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“…Kramer has derived QLD in M /G/1 queue with finite capacity and limited service system [12]. To derive QLD of the queueing system under study, we have followed the method proposed in [13].…”

Section: A Literature Reviewmentioning

confidence: 99%

On the Inter-Departure Times in <inline-formula> <tex-math notation="LaTeX">$M/\widetilde{D}/1/{B}_{on}$ </tex-math> </inline-formula> Queue With Queue-Length Dependent Service and Deterministic/Exponential Vacations

Sikha

Manivasakan

2019

IEEE Access

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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 (R 1 ) of packets are served, whichever occurs first, in the current busy period. We consider two types of vacation distributions: 1) deterministic and 2) exponential. Queuelength 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.INDEX TERMS Inter-departure times, variance, limited service discipline, queue-length dependent service, vacation queue.

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Stability of a two-queue cyclic polling system with BMAPs under gated service and state-dependent time-limited service disciplines

Cao

Xie

2016

Queueing Syst

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A two-queue finite-buffer polling model with limited service and state-dependent service times

Cited by 5 publications

References 12 publications

Optimum Transmission Window for EPONs With Limited Service

Optimum Transmission Window for EPONs With Limited Service

On the Inter-Departure Times in <inline-formula> <tex-math notation="LaTeX">$M/\widetilde{D}/1/{B}_{on}$ </tex-math> </inline-formula> Queue With Queue-Length Dependent Service and Deterministic/Exponential Vacations

Stability of a two-queue cyclic polling system with BMAPs under gated service and state-dependent time-limited service disciplines

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