کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627387 1631814 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of steady-state and transient delay in discrete-time single-arrival and batch-arrival systems
ترجمه فارسی عنوان
تجزیه و تحلیل وضعیت تاخیر در حالت ایستا و موقت در سیستم های تک ورودی و بسته بندی گسسته
کلمات کلیدی
نظریه صف بندی، تولید توابع، تجزیه و تحلیل گذرا، تاخیر مجازی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

We perform an analysis of the transient delay in a discrete-time FIFO buffer with batch arrivals. As transient delay is an ambiguous concept, we first discuss different possible definitions of the term (delay of the kth customer, delay of a customer arriving at time t, etc.). In this paper, we focus on the analysis of the delay of a customer arriving in slot t, also sometimes called virtual delay in single-arrival systems. It turns out that the modeling in batch-arrival systems is more intricate. In analysis, we relate transient delay to transient unfinished work and characterize the latter. Some time-dependent as well as limiting steady-state delay measures are calculated. We also study a variation that is related to active probing measurements. A substantial part of the article finally focuses on some fundamental differences between alternative definitions of transient delay.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 240, 1 August 2014, Pages 62–71
نویسندگان
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