In many applications, parallelism inherent in a computation can be exploited by using a parallel computer organization. Such organizations may suffer throughput degradation because of data dependencies. The case of no data dependencies is considered. In this case, the throughput realized is dependent on the actual manner in which the parallel computer system is organized. A comparative performance study of four models of two-processor organizations is presented. The performance evaluation is through queueing analysis or simulation, the aim being to compare their response times under different workloads. This study also indicates the possibility of switching between alternate organizations in a dynamically reconfigurable system.