کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1705968 1012446 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of two queues in parallel with jockeying and restricted capacities
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Analysis of two queues in parallel with jockeying and restricted capacities
چکیده انگلیسی

In this paper, we present two parallel queues with jockeying and restricted capacities. Each exponential server has its own queue, and jockeying among the queues is permitted. The capacity of each queue is restricted to L   including the one being served. Customers arrive according to a Poisson process and on arrival; they join the shortest feasible queue. Moreover, if one queue is empty and in the other queue, more than one customer is waiting, then the customer who has to receive after the customer being served in that queue is transferred to the empty queue. This will prevent one server from being idle while the customers are waiting in the other queue. Using the matrix-analytical technique, we derive formulas in matrix form for the steady-state probabilities and formulas for other performance measures. Finally, we compare our new model with some of Markovian queueing systems such as Conolly’s model [B.W. Conolly, The autostrada queueing problems, J. Appl. Prob. 21 (1984) 394–403], M/M/2M/M/2 queue and two of independent M/M/1M/M/1 queues for the steady state solution.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 32, Issue 5, May 2008, Pages 802–810
نویسندگان
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