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Queue Content Analysis in a 2-Class Discrete-Time Queueing System under the Slot-Bound Priority Service Rule
المؤلفون المشاركون
De Clercq, Sofian
Steyaert, Bart
Bruneel, Herwig
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-20، 20ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2012-10-21
دولة النشر
مصر
عدد الصفحات
20
التخصصات الرئيسية
الملخص EN
The paper we present here introduces a new priority mechanism in discrete-time queueing systems.
It is a milder form of priority when compared to HoL priority, but it favors customers of one type over the other when compared to regular FCFS.
It also provides an answer to the starvation problem that occurs in HoL priority systems.
In this new priority mechanism, customers of different priority classes entering the system during the same time slot are served in order of their respective priority class—hence the name slot-bound priority.
Customers entering during different slots are served on an FCFS basis.
We consider two customer classes (pertaining to two levels of priority) such that type-1 customers are served before type-2 customers that enter the system during the same slot.
A general independent arrival process and generally distributed service times are assumed.
Expressions for the probability generating function (PGF) of the system content (number of type-j customers, j=1,2) in regime are obtained using a slot-to-slot analysis.
The first moments are calculated, as well as an approximation for the probability mass functions associated with the found PGFs.
Lastly, some examples allow us some deeper insight into the inner workings of the slot-bound priority mechanism.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
De Clercq, Sofian& Steyaert, Bart& Bruneel, Herwig. 2012. Queue Content Analysis in a 2-Class Discrete-Time Queueing System under the Slot-Bound Priority Service Rule. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-1001589
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
De Clercq, Sofian…[et al.]. Queue Content Analysis in a 2-Class Discrete-Time Queueing System under the Slot-Bound Priority Service Rule. Mathematical Problems in Engineering No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-1001589
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
De Clercq, Sofian& Steyaert, Bart& Bruneel, Herwig. Queue Content Analysis in a 2-Class Discrete-Time Queueing System under the Slot-Bound Priority Service Rule. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-1001589
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1001589
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