کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10527396 | 958843 | 2014 | 33 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fluid limits of many-server queues with abandonments, general service and continuous patience time distributions
ترجمه فارسی عنوان
محدودیت های مایعات در صف بسیاری از سرورها با رها کردن، خدمات عمومی و توزیع زمان صبر و شکیبایی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
چکیده انگلیسی
This paper extends the works of Kang and Ramanan (2010) and Kaspi and Ramanan (2011), removing the hypothesis of absolute continuity of the service requirement and patience time distributions. We consider a many-server queueing system in which customers enter service in the order of arrival in a non-idling manner and where reneging is considerate. Similarly to Kang and Ramanan (2010), the dynamics of the system are represented in terms of a process that describes the total number of customers in the system as well as two measure-valued processes that record the age in service of each of the customers being served and the “potential” waiting times. When the number of servers goes to infinity, fluid limit is established for this triple of processes. The convergence is in the sense of probability and the limit is characterized by an integral equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 124, Issue 3, March 2014, Pages 1436-1468
Journal: Stochastic Processes and their Applications - Volume 124, Issue 3, March 2014, Pages 1436-1468
نویسندگان
Alexander Walsh Zuñiga,