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| Title: | Construction of Fuzzy Queues |
| Authors: | 陳奕至
Chen,Yi-Chih |
| Contributors: | 陸行
Luh,Hsing
陳奕至
Chen,Yi-Chih |
| Keywords: | 模糊
陳奕至
等候系統
陸行
Fuzzy
Chen,Yi-Chih
Queue
Luh,Hsing |
| Date: | 2005 |
| Issue Date: | 2009-09-18 18:29:22 (UTC+8) |
| Abstract: | 近幾年，等候系統開始被廣泛的應用於分析工作上可能產生的延遲。
平均花費在系統中和等候線上的時間成為描述等候系統行為兩個最基本的數量。除了工作的延遲外，我們考慮顧客在等候線上的延遲也會受到滿意度的影響。由於顧客滿意度會影響顧客的到達率，因此系統到達率和系統服務率變成模糊集合。我們建構一個模糊的等候系統並且提出一個去模糊化的方法。這篇論文研究的目的在於呈現一個分析系統的方法，利用此方法解決模糊的系統中最佳化的問題。
關鍵字: 模糊等候，最佳化。
Queueing models for analyzing the possible delay of tasks have
been studied for past several decades. Since then, the average
time spent in the system and the average time spent in queue have become two of the most fundamental quantities describing a
queueing system`s behavior. In additional to the delay of tasks,
we consider the satisfaction of customers affected by several
factors in system. Since the satisfaction reflects the arrival rate and service rate, the arrival rate and the service rate seem more close to the fuzzy sets. We construct a fuzzy queueing model and introduce an optimization problem of a fuzzy queue. The objective of this optimization problem is to present an approach that analyzes the model and decide the optimal number of servers while minimizing the total cost which is a fuzzy set. As a result, we provide a solution procedure to compute the required performance measure in a service-oriented environment.
Keywords: Fuzzy Queue, Optimization
Contents
Abstract . . . . . . . . . . . . . . . . . . . . . . . . . i
中文摘要 . . . . . . . . . . . . . . . . . . . . . . . . . ii
1 Introduction 1
2 Fuzzy Matrices 4
2.1 Research Background . . . . . . . . . . . . . . . . 4
2.2 Convergence of Fuzzy Matrices . . . . . . . . . . . 7
3 A Fuzzy Queueing System 12
3.1 Fuzzy Sets of Service Rates . . . .. . . . . . . . . 12
3.2 Fuzzy Sets of Arrival Rates . . . . . . . . . . . . 13
3.3 Transition Matrix . . . . . . . . . . . . . . . . . 14
4 An Optimization Model 17
4.1 Model Description . . . . . . . . . . . . . . . . . 17
4.2 Defuzzy Methods . . . . . . . . . . . .. . . . . . . 19
4.3 Illustrative Examples . . . . . . . . . . . . . . . 21
4.4 Comparison in Different Defuzzy Methods . . . . . . 27
5 Conclusions 42
References 45
Appendix 1 47
Appendix 2 49
Appendix 3 53 |
| Reference: | Avrachenkov, K.E. and Sanchez, E., Fuzzy Markov chains, Fuzzy
Optimization and Decision Making, vol. 1, no. 2, pp. 143--159,
June 2002.
Buckley, J.J., Solving fuzzy equations. Fuzzy
Sets and Systems, 50:1-14, 1992.
Buckley, J.J., Feuring, T. and Hayashi, Y., Fuzzy queueing theory revisited, International Journal of
Uncertainty, Fuzziness and Knowledge-Based Systems, 9(5):527-537,
2001.
Bonde, A.R. and Ghoh, S., A comparative study of fuzzy versus
"fixed" thresholds for robust queue management in Cell-Switching
networks, IEEE/ACM Transactions on Networking. vol. 2, no. 4,
pp. 337-344, 1994.
Chen, S.P., A membership function approach to single-server fuzzy queues with bulk
service, In Proceedings of 2002 Conference on Technology and
Management, pp. 299-307, 2002.
Chen, S.J. and Hwang, C.L., Fuzzy multiple attribute
decision making, Berlin: Springer-Verlag, 1992.
Davis, M.M., How long should a customer wait for service? Decision Sciences, vol.\\ 22, no.\\ 2, 324-34, 1991.
Davis, M.M. and Maggard, M.J., An analysis of customer satisfaction with waiting times in a two-stage service process,
Journal of Operatons Management, vol.\\ 9, no.\\ 3, 324-334, 1990.
Dubois, D. and Prade, H., Possibility theory,
Plenum Press, New York, 1988.
Give`on, Y., Lattice matrices, {\\sl Information and Control}, 7 , 477-484, 1964.
Guu, S.M., Lur, Y.Y., and Pang, C.T., On infinite products of fuzzy matrices, Fuzzy sets. SIAM J. Matrix Anal. Appl, vol.\\ 22, no.\\ 4, pp. 1190-1203
Jain, R., Decision making in the presence of fuzzy
variables, IEEE Trans. Syst., Man, Cybern., 6, 698-703, 1976
Jain, R., A procedure for multiple-aspect decision making
using fuzzy sets, Int. J. Syst. Sci., 8(1), 1-7, 1977.
Kao, C., Li, C.C. and Chen, S.P., Parametric programming to the analysis of fuzzy queues, Fuzzy
Sets and Systems, 107:93-100, 1999.
Luh, H., Wang, C.H. and Chen, Y.C., Queue management
with various apects of waiting, In Proceedings of 2005
International Conference on Intelligent Technologies and Applied
Statistics, 2005.
Sanchez, E., Resolution of composite fuzzy relation equations, {\\sl Information and Control} 30 , 38-48, 1976.
Thomason, M.G., Convergence of powers of a fuzzy matrix, {\\sl J. Math. Anal. Appl}. 57 , 476-480, 1977.
Yager, R.R., Ranking fuzzy subsets over the unit interval,
Proceedings of the 1978 CDC., 1435-1437, 1978.
Yager, R.R., On choosing between fuzzy subsets,
Kybernetes., 9, 151-154, 1980.
Yager, R.R., A procedure for ordering fuzzy subsets of the
unit interval, Inf. Sci., 24, 143-161, 1981.
Zhang, R. and Phillis, Y.A., Admission control and scheduling in simple series parallel networks
using fuzzy logic, IEEE Transactions on Fuzzy Syatems, vol. 9, no.
2, pp. 307-314, 2001. |
| Description: | 碩士
國立政治大學
應用數學研究所
92751009
94 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#G0927510091 |
| Data Type: | thesis |
| Appears in Collections: | [應用數學系] 學位論文
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