In a multi-processor system, each processor has a respective hard affinity queue and soft affinity queue. For execution of a thread, a queue loader places an instance of the thread upon the hard or soft affinity queue of a selected processor. The selection may use an affinity attribute, processor attribute, accessor function, or a respective program of code threads for each processor. A thread instance on a processor's hard affinity queue is executed only by that processor. A thread instance on a processor's soft affinity queue is executed by that processor unless another processor has a soft affinity queue empty of thread instances ready for execution. Each processor alternates service priority between its hard and soft affinity queues. When a thread has a soft affinity it is initially bound to the processor it is started from. It will, then, be bound to the last processor it has been run on.