Abstract
In this paper, a single-machine scheduling problem with simple linear deterioration was explored. By simple linear deterioration, we mean that the processing time of a job is a simple linear function of its execution starting time and its deterioration rate. The objective of this study was to find a schedule that minimizes the absolute value of maximum lateness, where the due date of jobs are a common due date. Given that the cases of common due date is a given constant and variable, we showed that the problem can be solved in polynomial time, respectively. Some extensions of the problem were also delineated.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.