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Single machine scheduling to maximize the weighted number of on-time jobs with job-rejection

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We study a single machine scheduling problem, where the goal is to maximize the weighted number of jobs completed exactly at their due-dates. The option of job-rejection is considered, i.e.,… Click to show full abstract

We study a single machine scheduling problem, where the goal is to maximize the weighted number of jobs completed exactly at their due-dates. The option of job-rejection is considered, i.e., the scheduler may perform only a subset of the jobs. An upper bound on the total permitted rejection cost is assumed. The problem is proved to be NP-hard, and a pseudo-polynomial dynamic programming algorithm is introduced. Our numerical tests indicate that the proposed algorithm performs well: medium size instances (of up to 100 jobs) are solved in less than 1 s.

Keywords: maximize weighted; job rejection; weighted number; single machine; rejection; machine scheduling

Journal Title: Operational Research
Year Published: 2021

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