Performance analysis of hybrid (M/M/1 and M/M/m) client server model using Queuing theory

Internet use packet switching and it is called delay system. When any request comes from client side, server may serve that request immediately or it goes into queue for some time. A client is the computer, which requests the resources (mail, audio, video etc), equipped with a user interface (usually a web browser) for presentation purposes. DNS (Domain name server) will map the web address to its corresponding Internet protocol address. All communication takes place using transfer of packets. Packets arrive according to a Poisson process with rate λ. Router will route the request to that particular Internet Protocol (IP) of the application server. The application server task is to provide the requested resources (mail, audio, video, authentication), but by calling on another server (Data server), which provides the application server with the data it requires. This paper deals with single server and multiple server queues. This paper intends to find out the Performance (average queue length, average response time, average waiting time) analysis of hybrid (M/M/1, M/M/m) client server model using queuing theory.