A scalable website garantee future information system by supporting additional users .Web caching has been proven to be a highly efficient method in reducing the network bandwidth consumption, as well as improving website scalability. In a web cache placement strategy, an important issue is to utilize the available resources by performing a cache placement to achieve the desirable scalability. The current study has tried to explore the scalability improvement strategies by taking advantage from the distributed cache placement technique.A Finite Series Model (FSM) was introduced to analyze the hit ratio saving resulted from the copies made in the cache for the requested objects. By using this model, the scalability problem can be formulated as a function of the object requests that hit the server successfully.This study also proved that the hit ratio for a single object on the origin server along adopted cache schemes follows the finite series functions. As a result, it was possible to achieve the mathematical solution by using such series.

Abstract__ In order to carefully consider transformational green virtual movement, improving memory management seems an inevitable trend that each growing e-business size must take in to consideration. This paper try to proposes mathematical modelling approach that predict hit ratio reduced by two different cache placement .A Finite Series Model (FSM) were applied to measure the hit ratio saving resulted from the copies made in the cache for the requested objects. By using this model, the scalability problem can be formulated as a function of the object requests that hit the server successfully. This study also proved that the hit ratio on the origin server along adopted cache schemes follows the finite series functions. As a result, it was possible to achieve the mathematical solution by using such series.