An Improved Mayfly Optimization Algorithm for Type-2 Multi-Objective Integrated Process Planning and Scheduling
The type-2 multi-objective integrated process planning and scheduling problem, as an NP-hard problem, is required to deal with both process planning and job shop scheduling, and to generate optimal schedules while planning optimal machining paths for the workpieces. For the type-2 multi-objective in...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2023-10-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/11/20/4384 |
_version_ | 1797573102190723072 |
---|---|
author | Ke Yang Dazhi Pan |
author_facet | Ke Yang Dazhi Pan |
author_sort | Ke Yang |
collection | DOAJ |
description | The type-2 multi-objective integrated process planning and scheduling problem, as an NP-hard problem, is required to deal with both process planning and job shop scheduling, and to generate optimal schedules while planning optimal machining paths for the workpieces. For the type-2 multi-objective integrated process planning and scheduling problem, a mathematical model with the minimization objectives of makespan, total machine load, and critical machine load is developed. A multi-objective mayfly optimization algorithm with decomposition and adaptive neighborhood search is designed to solve this problem. The algorithm uses two forms of encoding, a transformation scheme designed to allow the two codes to switch between each other during evolution, and a hybrid population initialization strategy designed to improve the quality of the initial solution while taking into account diversity. In addition, an adaptive neighborhood search cycle based on the average distance of the Pareto optimal set to the ideal point is designed to improve the algorithm’s merit-seeking ability while maintaining the diversity of the population. The proposed encoding and decoding scheme can better transform the continuous optimization algorithm to apply to the combinatorial optimization problem. Finally, it is experimentally verified that the proposed algorithm achieves better experimental results and can effectively deal with type-2 MOIPPS. |
first_indexed | 2024-03-10T21:04:53Z |
format | Article |
id | doaj.art-9d0a77ac9c024cdf9ba6d64624c97e51 |
institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-03-10T21:04:53Z |
publishDate | 2023-10-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
spelling | doaj.art-9d0a77ac9c024cdf9ba6d64624c97e512023-11-19T17:15:16ZengMDPI AGMathematics2227-73902023-10-011120438410.3390/math11204384An Improved Mayfly Optimization Algorithm for Type-2 Multi-Objective Integrated Process Planning and SchedulingKe Yang0Dazhi Pan1College of Mathematic and Information, China West Normal University, Nanchong 637009, ChinaCollege of Mathematic and Information, China West Normal University, Nanchong 637009, ChinaThe type-2 multi-objective integrated process planning and scheduling problem, as an NP-hard problem, is required to deal with both process planning and job shop scheduling, and to generate optimal schedules while planning optimal machining paths for the workpieces. For the type-2 multi-objective integrated process planning and scheduling problem, a mathematical model with the minimization objectives of makespan, total machine load, and critical machine load is developed. A multi-objective mayfly optimization algorithm with decomposition and adaptive neighborhood search is designed to solve this problem. The algorithm uses two forms of encoding, a transformation scheme designed to allow the two codes to switch between each other during evolution, and a hybrid population initialization strategy designed to improve the quality of the initial solution while taking into account diversity. In addition, an adaptive neighborhood search cycle based on the average distance of the Pareto optimal set to the ideal point is designed to improve the algorithm’s merit-seeking ability while maintaining the diversity of the population. The proposed encoding and decoding scheme can better transform the continuous optimization algorithm to apply to the combinatorial optimization problem. Finally, it is experimentally verified that the proposed algorithm achieves better experimental results and can effectively deal with type-2 MOIPPS.https://www.mdpi.com/2227-7390/11/20/4384multi-objective optimizationprocess planningshop schedulingneighborhood structure |
spellingShingle | Ke Yang Dazhi Pan An Improved Mayfly Optimization Algorithm for Type-2 Multi-Objective Integrated Process Planning and Scheduling Mathematics multi-objective optimization process planning shop scheduling neighborhood structure |
title | An Improved Mayfly Optimization Algorithm for Type-2 Multi-Objective Integrated Process Planning and Scheduling |
title_full | An Improved Mayfly Optimization Algorithm for Type-2 Multi-Objective Integrated Process Planning and Scheduling |
title_fullStr | An Improved Mayfly Optimization Algorithm for Type-2 Multi-Objective Integrated Process Planning and Scheduling |
title_full_unstemmed | An Improved Mayfly Optimization Algorithm for Type-2 Multi-Objective Integrated Process Planning and Scheduling |
title_short | An Improved Mayfly Optimization Algorithm for Type-2 Multi-Objective Integrated Process Planning and Scheduling |
title_sort | improved mayfly optimization algorithm for type 2 multi objective integrated process planning and scheduling |
topic | multi-objective optimization process planning shop scheduling neighborhood structure |
url | https://www.mdpi.com/2227-7390/11/20/4384 |
work_keys_str_mv | AT keyang animprovedmayflyoptimizationalgorithmfortype2multiobjectiveintegratedprocessplanningandscheduling AT dazhipan animprovedmayflyoptimizationalgorithmfortype2multiobjectiveintegratedprocessplanningandscheduling AT keyang improvedmayflyoptimizationalgorithmfortype2multiobjectiveintegratedprocessplanningandscheduling AT dazhipan improvedmayflyoptimizationalgorithmfortype2multiobjectiveintegratedprocessplanningandscheduling |