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Queueing models for a simple heterogeneous multiple processor system are presented, analyzed, and compared. Each model is distinguished by a job routing strategy which is designed to reduce the average job turnaround time by balancing the total load among the processors. In each case an arriving job is routed by a job dispatcher to one of m parallel processors. The job routing strategies are divided into two classes: deterministic and nondeterministic. The nondeterministic policies are described by state independent branching probabilities. For the deterministic policies, the next processor is chosen to minimize or maximize the expected value of a performance related criterion function.