Single Machine Lot Scheduling to Minimize Maximum Weighted Completion Time

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

In manufacturing, it is common for manufacturers to receive customized orders with varying quantities and priority levels. This work focuses on the situation where orders are processed in lots with unified capacity on a single machine. Each lot has the potential to accommodate multiple orders, and if necessary, any order can be split and processed in consecutive lots. Each order is characterized by its size and weight. The objective of the problem is to minimize the maximum weighted completion time. By proving that processing orders in non-increasing sequence of their weights yields an optimal schedule, we conclude that the problem can be solved in polynomial time.

Original languageEnglish
Title of host publicationComputing and Combinatorics - 30th International Conference, COCOON 2024, Proceedings
EditorsYong Chen, Xiaofeng Gao, Xiaoming Sun, An Zhang
PublisherSpringer Science and Business Media Deutschland GmbH
Pages445-454
Number of pages10
ISBN (Print)9789819610891
DOIs
StatePublished - 2025
Event30th International Computing and Combinatorics Conference, COCOON 2024 - Shanghai, China
Duration: 23 Aug 202425 Aug 2024

Publication series

NameLecture Notes in Computer Science
Volume15161 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference30th International Computing and Combinatorics Conference, COCOON 2024
Country/TerritoryChina
CityShanghai
Period23/08/2425/08/24

Keywords

  • Lot scheduling
  • Maximum weighted completion time
  • Order-splitting
  • Single machine

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