Abstract
We study multi-machine makespan minimization of deteriorating jobs, i.e. jobs whose processing times are increasing functions of their starting times. We assume simple linear deterioration, and parallel identical machines. The problem is proven to be NP-hard even for two machines. A heuristic and lower bound are introduced and tested numerically. The heuristic is shown to be asymptotically optimal under very general conditions. We also study a non-conventional performance measure relevant to settings with deteriorating jobs, namely, minimum total load on all machines.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: INFOR: Information Systems and Operational Research
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.
