The distributed Computation world is becoming complex and very large; Cloud Computing has emerged as a popular computing model to support large data processing using commodity hardware. In this context, the number of physical units (dedicated servers) may suffer shortage problem at peak time due to the increasing needs of using resources. In this paper we introduce a solution for resolving this problem by adopting the use of idle general purpose machines that exist within homes, universities or enterprises to be part of the cloud computing environment. The proposed solution is implemented and tested through the provision of the modified IaaS by using CPU cycles denoted by public and OpenStack Cloud Computing platform. On experimenting the proposed model ,the performance of the cloud has improve significantly ,which confirm that this mixing of generic and dedicated resources allocation leads to the provision of inexpensive resources with the guarantees of the quality of services.