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
Authors: Yu Sun, Hongyu He, Yanzhi Zhao, Ji-Bo Wang
Institutions: Shenyang Aerospace University, Shenyang University
Language: English
Subfield: Industrial and Manufacturing Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W4409411125
