کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628239 1631817 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An application of Riordan arrays to the transient analysis of M/M/1M/M/1 queues
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
An application of Riordan arrays to the transient analysis of M/M/1M/M/1 queues
چکیده انگلیسی

Riordan arrays are used extensively in many contexts as a combinatorial tool for solving enumeration problems such as lattice path counting problems. In this paper, we first show how Riordan array method can be applied to the transient analysis of M/M/1M/M/1 queue with zero customer at the initial point. Second, we extend this method to the generalized Riordan array with multiple support functions in order to deal with the transient analysis of M/M/1M/M/1 queue with non-zero customers at the initial point. Numerical examples are also given to show how easy and quick the transient probability obtained from the Riordan method can be computed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 237, 15 June 2014, Pages 659–671
نویسندگان
, , ,