Single machine flow-time scheduling with a single breakdown
Acta Informatica
Sequencing with earliness and tardiness penalties: a review
Operations Research
Stochastic single machine scheduling with quadratic early-tardy penalties
Operations Research
Probability in the Engineering and Informational Sciences
Stochastic single machine scheduling with an exponentially distributed due date
Operations Research Letters
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This article addresses the problem of scheduling n preempt-repeat version jobs with a common due date on a machine subject to stochastic breakdowns to minimize quadratic earliness-tardiness penalties. I proceed to study under the condition of the uptimes following an exponential distribution and with the method of large analysis of random variables. My main contributions are as follows. (1) An analytic expression for the second moment ofthe completion time about a preempt-repeat version job processed on a machine subject to stochastic breakdowns is proposed. (2) The result that the optimal solutions are V-shaped is proposed and proven.