Hall, Nicholas G., Potts, Chris N. and Sriskandarajah, Chelliah
Parallel machine scheduling with a common server.
Discrete Applied Mathematics, 102, (3), . (doi:10.1016/S0166-218X(99)00206-1).
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This paper considers the nonpreemptive scheduling of a given set of jobs on several identical, parallel machines. Each job must be processed on one of the machines. Prior to processing, a job must be loaded (setup) by a single server onto the relevant machine. The paper considers a number of classical scheduling objectives in this environment, under a variety of assumptions about setup and processing times. For each problem considered, the intention is to provide either a polynomial- or pseudo-polynomial-time algorithm, or a proof of binary or unary NP-completeness. The results provide a mapping of the computational complexity of these problems.
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