On the complexity of buffer allocation in message passing systems

We explore a variety of problems related to buffer allocation for safe and efficient execution of message passing programs. We show that determining the minimum number of message buffers or verifying that each process has a sufficient number of message buffers are intractable problems. However, we give a polynomial time algorithm to determine the minimum number of message buffers needed to ensure that no send operation is unnecessarily delayed due to lack of message buffers. We extend these results to several different buffering schemes, which in some cases make the problems tractable.