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INSENSITIVITY OF A FRONT-END WEB SYSTEM

Published online by Cambridge University Press:  19 March 2008

Genji Yamazaki
Affiliation:
Department of Production & Information SystemsTokyo Metropolitan Institute of TechnologyHino, Tokyo 191-0065, Japan
Tamotsu Sogo
Affiliation:
Doctoral Program in Intelligent SystemsTokyo Metropolitan Institute of TechnologyHino, Tokyo 191-0065, Japan E-mail: [email protected]

Abstract

In many companies, legacy systems have been used to serve customers arriving at service counters. The demand of a customer arriving at a counter is divided into R subdemands (SDs). Each SD is processed sequentially by the legacy system. When the final SD service is completed, the customer leaves the counter. On the other hand, Internet users desire that each SD be processed through the Internet without going to a service counter. We note that the applications for operating the web system differ from those of the legacy systems. For that reason, companies might use legacy systems for customers who come to the company through the Internet, without changing those legacy systems' applications. This web system, which is integrated with the legacy system, is called a front-end web system. Suppose that, for the web system, demands are generated according to a Poisson process. Then we show that the loss probability and macrostate distribution for the front-end web system are insensitive with respect to the distribution of the discrete random variable R, aside from the continuous distributions of other uncertain factors, under a restriction.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2008

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References

1.Kelly, F.P. (1979). Reversibility and stochastic networks. New York: Wiley.Google Scholar
2.Miyazawa, M. (1993). Insensitivity and product-form decomposability of reallocatable GSMP. Advances in Applied Probability, 25:415437.CrossRefGoogle Scholar
3.Sogo, T., Yamazaki, G., & Yamamoto, H. (2003) Modeling for design of a front-end web system, the Transactions of the Institute of Electronics, Information and Communication Engineers. B, J86-B, 20, 2035-2040 (in Japanese).Google Scholar