J. Oper. Res. Soc. China https://doi.org/10.1007/s40305-018-0207-5 On Scheduling a Deteriorating Rate-Modifying Activity to Minimize the Number of Tardy Jobs Wen-Chang Luo Received: 30 August 2017 / Revised: 16 December 2017 / Accepted: 16 May 2018 © Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press, and Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract We investigate a single-machine scheduling problem, where a deteriorat- ing rate-modifying activity can be performed on the machine to reduce the processing times of jobs. The objective is to minimize the number of tardy jobs. Under the assump- tion that the duration of the rate-modifying activity is a nonnegative and nondecreasing function on its starting time, we propose an optimal polynomial time algorithm running in O(n ) time. Keywords Scheduling · Rate-modifying activity · Due date · Polynomial time algorithm Mathematics Subject Classiﬁcation 90B35 1 Introduction Motivated by an actual production problem commonly found in electronic assembly lines, Lee and Leon  introduced a class of scheduling problems called as scheduling with a rate-modifying activity. In such problems, one can choose to perform a rate- modifying activity on a machine, which occupies a certain time while speeds up the production rate
Journal of the Operations Research Society of China – Springer Journals
Published: Jun 5, 2018
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