A Fast Pareto Approach to Minimize Regular Criteria in the Job-shop Scheduling Problem with Maintenance Activities, Sequence Dependent and Set-up Times

Andrés A. García-León, William F. Torres Tapia

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


In the Job-shop scheduling problem minimizing the makespan has been the dominant approach in the literature. The level of the customer service cannot be measured efficiently for this criterion, since it does not consider relevant aspects like the due date of jobs to determine the tardiness. In this paper, we propose an innovate general approach for minimizing regular criteria in the Job-shop Scheduling which adds the conditions of maintenance activities and sequence dependent set-up times considering the Pareto optimization. Our approach makes use of the disjunctive graph model to represent schedules and support the search for an optimal solution using a classical estimation function at reversing a critical arc. The search is performed by two phases: improvement and diversification. In the improvement phase, initially, a random criterion is selected to create improving moves iteratively. When it is not possible to create a move using the selected criterion, it is penalized and a new criterion is selected. The diversification phase considers feasibility conditions to escape from a local optimal. In each move the set of solutions of the front is updated. The efficiency of our approach is illustrated on instances of literature at performing three sets of criteria. The first set considers makespan and maximum tardiness. In the second is considered and in the third the total tardiness. As a contribution of our approach, a benchmark of results is proposed by future research.

Original languageEnglish
Title of host publicationApplied Computer Sciences in Engineering - 7th Workshop on Engineering Applications, WEA 2020, Proceedings
EditorsJuan Carlos Figueroa-García, Fabián Steven Garay-Rairán, Germán Jairo Hernández-Pérez, Yesid Díaz-Gutierrez
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages13
ISBN (Print)9783030618339
StatePublished - 2020
Event7th Workshop on Engineering Applications, WEA 2020 - Bogota, Colombia
Duration: 7 Oct 20209 Oct 2020

Publication series

NameCommunications in Computer and Information Science
Volume1274 CCIS
ISSN (Print)1865-0929
ISSN (Electronic)1865-0937


Conference7th Workshop on Engineering Applications, WEA 2020


  • Extension of the Job-Shop scheduling problem
  • Local search and pareto optimization
  • Maintenance activity
  • Regular criteria
  • Scheduling theory
  • Sequence dependent
  • Set-up times


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