Client/Server FIFO computer system analysis (sharpe software)
Distributed system analysis

Client/server system

Let us consider a client/server system where a server station receives requests from client stations, processes the request and replies to the client station. The i-th client-station generates requests following an exponential distribution with rate ?i and the transmission time of the request to the server is also exponentially distributed with parameter µi. Other times, all assumed exponentially distributed, are: the time to process a request from the i-th client (rate ?i), and the reply transmission time (rate ? for all the clients). Assuming that the requests to the server are managed according to a First In First Out policy, and the server is able to buffer three requests at most, evaluate:

1. The transient probability the server is idle till time t = 500 ms;

2. The transient throughput of the server;

3. The steady state utilization of the server;

4. The lost probability at steady state for both the clients;

assuming the parameters as in Table 1.

parameter ??11 4.2 ms ??12 3.3 ms µ?11 0.1 ms µ?12 0.15 ms ??11 2.0 ms ??12 3.0 ms ??1 3.2 ms

Table 1: System parameter values

1