On the complexity of scheduling problems for parallel/pipelined machines

Abstract
The problem of optimal scheduling of a job system for two dedicated processors is presented. A machine model with two functional units which can be either sequential or pipelined is considered. The complexity of optimal scheduling for a set of expressions on such machines is investigated. Some previous NP-completeness results are reviewed and several new ones are presented. For one restricted case, a polynomial-time algorithm is described and analyzed.

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