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  • Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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1 December 2008

Analysis of 24 Factorial Design for a Controllable M/G/1 System

,
and
1
Department of Applied Statistics, National Taichung Institute of Technology, Taichung 404, Taiwan, R.O.C.
2
Department of Accounting and Statistics, National Taichung Institute of Technology, Taichung 404, Taiwan, R.O.C.
3
Department of Finance, Chaoyang University of Technology
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl.2008, 13(3), 165-174;https://doi.org/10.3390/mca13030165
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Abstract

This paper presents a sensitivity investigation of the expected busy period for a controllable M/G/1 queueing system by means of a factorial design statistical analysis. We studies the effect of four important factors (parameters) that influence the expected busy period of an M/G/1 system, in which the server operates <p,N>-policy in his idle period. A 24 factorial experimental design is used to evaluate the sensitivity analysis of parameters on the expected busy period of a controllable M/G/1 queue. Based on the analysis of variance, we find the main effect and interaction effect of the significant factors on the system characteristics.

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