کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1707159 1012509 2007 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lattice path approach for busy period density of M/G/1 queues using C3 Coxian distribution
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Lattice path approach for busy period density of M/G/1 queues using C3 Coxian distribution
چکیده انگلیسی

The paper aims at busy period analysis of non-Markovian queuing system M/G/1 starting initially with i0 customers, through lattice path approach. The general distribution involved is approximated by a 3-phase Cox distribution, C3. Distributions having rational Laplace–Stieltjes transforms and square coefficient of variation lying in [1/3, ∞) form a very wide class of distributions. As any distribution of this class can be approximated by a C3, that has Markovian property, amenable to the application of lattice paths combinatorial analysis, the use of C3 therefore has led us to achieve results applicable to almost any real life queuing system M/G/1.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 31, Issue 10, October 2007, Pages 2062–2079
نویسندگان
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