Analysis of 24 Factorial Design for a Controllable M/G/1 System
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
Published: 1 December 2008
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.
Keywords:
ANOVA; Busy period; Queue; Sensitivity analysis
Share and Cite
MDPI and ACS Style
Ke, J.-C.; Ko, M.Y.; Chiou, K.-C. Analysis of 24 Factorial Design for a Controllable M/G/1 System. Math. Comput. Appl. 2008, 13, 165-174. https://doi.org/10.3390/mca13030165
AMA Style
Ke J-C, Ko MY, Chiou K-C. Analysis of 24 Factorial Design for a Controllable M/G/1 System. Mathematical and Computational Applications. 2008; 13(3):165-174. https://doi.org/10.3390/mca13030165
Chicago/Turabian StyleKe, Jau-Chuan, Ming Yang Ko, and Kuo-Ching Chiou. 2008. "Analysis of 24 Factorial Design for a Controllable M/G/1 System" Mathematical and Computational Applications 13, no. 3: 165-174. https://doi.org/10.3390/mca13030165
