Work

Minimizing Makespan Scheduling on a Single Machine with General Positional Deterioration Effects

Year: 2025
Type: article
Abstract: This work studies single-machine scheduling with general position-dependent deterioration, where job processing times are general non-decreasing functions dependent on their positions in a sequence. The goal is to find a job sequence such that makespan is minimized. The problem can be extended to deal with green scheduling environment where processing time increases due to additional carbon-reduction procedure. Under some optimal properties, we prove that the problem is solved by the largest processing time (denoted by LPT) first rule.
Source: Axioms
Language: English
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W4409411125
FWCI: 7.094
Cites: 60
Cited by: 14
Related to: 10