In this paper we prove the optimality of DMPO for synchronous systems under PCP. We then formulate a an optimal priority assignment algorithm for asynchronous systems under PCP alike. We show that this algorithm is also optimal for (asynchronous) systems with self-suspending processes.
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BibTex Entry

@article{Bletsas2006,
 author = {K. Bletsas and N. C. Audsley},
 journal = {Information Processing Letters},
 month = {aug},
 number = {3},
 pages = {83--86},
 title = {Optimal priority assignment in the presence of blocking},
 volume = {99},
 year = {2006}
}