Operations Research Transactions ›› 2025, Vol. 29 ›› Issue (4): 249-254.doi: 10.15960/j.cnki.issn.1007-6093.2025.04.020

• Research Article • Previous Articles    

LPT algorithm for early work maximization problem

Ruiqing SUN1, Rui ZHANG2, Yan LAN2,*(), Weidong LI1   

  1. 1. School of Mathematics and Statistics, Yunnan University, Kunming 650504, Yunnan, China
    2. School of Information and Communication Engineering, Dalian Minzu University, Dalian 116600, Liaoning, China
  • Received:2023-01-27 Online:2025-12-15 Published:2025-12-11
  • Contact: Yan LAN E-mail:lanyan@dlnu.edu.cn

Abstract:

For a given set of jobs and a given set of machines, we assign the jobs to the machines without preemption. The early work maximization problem tries to find a schedule such that the total early work of the jobs is maximized, where the early work of a job is the processed time before the common due date. We prove that the worse-case ratio of LPT algorithm is at most 1.207.

Key words: scheduling, total early work, worse-case ratio, LPT algorithm

CLC Number: