One-machine scheduling with allocation of continuously-divisible resource and with no precedence constraints. (English) Zbl 0635.90048

Summary: The efficiently solved one-machine scheduling problems with no precedence constraints are generalized to the case with allocation of continuously- divisible constrained nonrenewable resource. Models of operation are assumed to be duration versus resource amount linear functions. The following optimality criteria are considered: maximum completion time, maximum lateness, maximum cost and weighted sum of completion times. For the problems discussed polynomial-time algorithms are found.


90B35 Deterministic scheduling theory in operations research
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