Computing the Performance Measures in Queueing Models via the Method of Order Statistics | Zendy

Yousry H. Abdelkader | Zendy; Maram Alwohaibi | Zendy

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Computing the Performance Measures in Queueing Models via the Method of Order Statistics

Author(s) -

Yousry H. Abdelkader,

Maram Alwohaibi

Publication year - 2011

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2011/790253

Subject(s) - queueing theory , statistics , order (exchange) , order statistic , computer science , measure (data warehouse) , mathematics , data mining , finance , economics

This paper focuses on new measures of performance in single-server Markovian queueing system. These measures depend on the moments of order statistics. The expected value and the variance of the maximum (minimum) number of customers in the system as well as the expected value and the variance of the minimum (maximum) waiting time are presented. Application to an M/M/1 model is given to illustrate the idea and the applicability of the proposed measures

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