Hybrid Salp Swarm Algorithm for Solving the Green Scheduling Problem in a Double-Flexible Job Shop

Green scheduling is not only an effective way to achieve green manufacturing but also an effective way for modern manufacturing enterprises to achieve energy conservation and emission reduction. The double-flexible job shop scheduling problem (DFJSP) considers both machine flexibility and worker fle...

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Main Authors: Changping Liu, Yuanyuan Yao, Hongbo Zhu
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/1/205
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author Changping Liu
Yuanyuan Yao
Hongbo Zhu
author_facet Changping Liu
Yuanyuan Yao
Hongbo Zhu
author_sort Changping Liu
collection DOAJ
description Green scheduling is not only an effective way to achieve green manufacturing but also an effective way for modern manufacturing enterprises to achieve energy conservation and emission reduction. The double-flexible job shop scheduling problem (DFJSP) considers both machine flexibility and worker flexibility, so it is more suitable for practical production. First, a multi-objective mixed-integer programming model for the DFJSP with the objectives of optimizing the makespan, total worker costs, and total influence of the green production indicators is formulated. Considering the characteristics of the problem, three-layer salp individual encoding and decoding methods are designed for the multi-objective hybrid salp swarm algorithm (MHSSA), which is hybridized with the Lévy flight, the random probability crossover operator, and the mutation operator. In addition, the influence of the parameter setting on the MHSSA in solving the DFJSP is investigated by means of the Taguchi method of design of experiments. The simulation results for benchmark instances show that the MHSSA can effectively solve the proposed problem and is significantly better than the MSSA and the MOPSO algorithm in the diversity, convergence, and dominance of the Pareto frontier.
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spelling doaj.art-7eba8987c51349068eb9b4b569768dde2023-11-23T11:09:21ZengMDPI AGApplied Sciences2076-34172021-12-0112120510.3390/app12010205Hybrid Salp Swarm Algorithm for Solving the Green Scheduling Problem in a Double-Flexible Job ShopChangping Liu0Yuanyuan Yao1Hongbo Zhu2Faculty of Management Engineering, Huaiyin Institute of Technology, Huaian 223200, ChinaCollege of Economics and Management, Suzhou Chienshiung Institute of Technology, Taicang 215411, ChinaFaculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, ChinaGreen scheduling is not only an effective way to achieve green manufacturing but also an effective way for modern manufacturing enterprises to achieve energy conservation and emission reduction. The double-flexible job shop scheduling problem (DFJSP) considers both machine flexibility and worker flexibility, so it is more suitable for practical production. First, a multi-objective mixed-integer programming model for the DFJSP with the objectives of optimizing the makespan, total worker costs, and total influence of the green production indicators is formulated. Considering the characteristics of the problem, three-layer salp individual encoding and decoding methods are designed for the multi-objective hybrid salp swarm algorithm (MHSSA), which is hybridized with the Lévy flight, the random probability crossover operator, and the mutation operator. In addition, the influence of the parameter setting on the MHSSA in solving the DFJSP is investigated by means of the Taguchi method of design of experiments. The simulation results for benchmark instances show that the MHSSA can effectively solve the proposed problem and is significantly better than the MSSA and the MOPSO algorithm in the diversity, convergence, and dominance of the Pareto frontier.https://www.mdpi.com/2076-3417/12/1/205double flexible job-shop schedulingmulti-objective optimizationhybrid salp swarm algorithmgreen shop scheduling
spellingShingle Changping Liu
Yuanyuan Yao
Hongbo Zhu
Hybrid Salp Swarm Algorithm for Solving the Green Scheduling Problem in a Double-Flexible Job Shop
Applied Sciences
double flexible job-shop scheduling
multi-objective optimization
hybrid salp swarm algorithm
green shop scheduling
title Hybrid Salp Swarm Algorithm for Solving the Green Scheduling Problem in a Double-Flexible Job Shop
title_full Hybrid Salp Swarm Algorithm for Solving the Green Scheduling Problem in a Double-Flexible Job Shop
title_fullStr Hybrid Salp Swarm Algorithm for Solving the Green Scheduling Problem in a Double-Flexible Job Shop
title_full_unstemmed Hybrid Salp Swarm Algorithm for Solving the Green Scheduling Problem in a Double-Flexible Job Shop
title_short Hybrid Salp Swarm Algorithm for Solving the Green Scheduling Problem in a Double-Flexible Job Shop
title_sort hybrid salp swarm algorithm for solving the green scheduling problem in a double flexible job shop
topic double flexible job-shop scheduling
multi-objective optimization
hybrid salp swarm algorithm
green shop scheduling
url https://www.mdpi.com/2076-3417/12/1/205
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