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SCHEDULING WITH PERIODIC AVAILABILITY CONSTRAINTS AND IRREGULAR COST FUNCTIONS

机译:安排定期可用性约束和不规则成本函数

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摘要

This paper addresses a one-machine scheduling problem in which the efficiency of the machine is not constant, that is the duration of a task is longer in badly efficient time periods. Each task has an irregular completion cost. Under the assumption that the efficiency constraints are time-periodic, we show that the special case where the sequence is fixed can be solved in polynomial time. The general case is NP-complete so that we propose a two-phase heuristic to find good solutions. Our approach is tested on problems with earliness-tardiness costs.
机译:本文解决了单机调度问题,其中机器的效率不是恒定的,即在效率很差的时间段内任务的持续时间更长。每个任务都有不定期的完成费用。在效率约束为时间周期的假设下,我们证明了序列固定的特殊情况可以在多项式时间内求解。一般情况是NP完全的,因此我们提出了一个两阶段启发式算法来找到好的解决方案。我们的方法经过了早期延迟成本的测试。

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