کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1706496 1012463 2010 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The discrete-time MAP/PH/1 queue with multiple working vacations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
The discrete-time MAP/PH/1 queue with multiple working vacations
چکیده انگلیسی

We consider a discrete-time single-server queueing model where arrivals are governed by a discrete Markovian arrival process (DMAP), which captures both burstiness and correlation in the interarrival times, and the service times and the vacation duration times are assumed to have a general phase-type distributions. The vacation policy is that of a working vacation policy where the server serves the customers at a lower rate during the vacation period as compared to the rate during the normal busy period. Various performance measures of this queueing system like the stationary queue length distribution, waiting time distribution and the distribution of regular busy period are derived. Through numerical experiments, certain insights are presented based on a comparison of the considered model with an equivalent model with independent arrivals, and the effect of the parameters on the performance measures of this model are analyzed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 34, Issue 4, April 2010, Pages 931–946
نویسندگان
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