کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1144597 957423 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of a discrete-time queue with load dependent service under discrete-time Markovian arrival process
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Analysis of a discrete-time queue with load dependent service under discrete-time Markovian arrival process
چکیده انگلیسی

In the study of normal queueing systems, the server’s average service times are generally assumed to be constant. However, in numerous applications this assumption may not be valid. To prevent congestion in overload control telecommunication networks, the transmission rates vary depending on the number of packets waiting in the queue. As traffics in telecommunication networks are of bursty nature and correlated, we assume that arrivals follow the discrete-time Markovian arrival process. This paper analyzes a queueing model in which the server changes its service times (rates) only at the beginning of service depending on the number of customers waiting in the queue. We obtain the steady-state probabilities at various epochs and some performance measures. In addition, varieties of numerical results are discussed to display the effect of the system parameters on the performance measures.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Korean Statistical Society - Volume 43, Issue 4, December 2014, Pages 545–557
نویسندگان
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