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Sustainability 2017, 9(6), 953; doi:10.3390/su9060953

Hybrid Algorithm Based on an Estimation of Distribution Algorithm and Cuckoo Search for the No Idle Permutation Flow Shop Scheduling Problem with the Total Tardiness Criterion Minimization

Key Laboratory of Advanced Control and Optimization for Chemical Process, East China University of Science and Technology, Ministry of Education, Shanghai 200237, China
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Academic Editors: Xiang Li, Jian Zhou, Hua Ke and Xiangfeng Yang
Received: 30 April 2017 / Revised: 29 May 2017 / Accepted: 1 June 2017 / Published: 5 June 2017
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Abstract

The no idle permutation flow shop scheduling problem (NIPFSP) is a popular NP-hard combinatorial optimization problem, which exists in several real world production processes. This study proposes a novel hybrid estimation of the distribution algorithm and cuckoo search (CS) algorithm (HEDA_CS) to solve the NIPFSP with the total tardiness criterion minimization. The problem model is built on the basis of the starting and ending time point of each job. A discrete solution representation method is applied in HEDA_CS to increase the operation efficiency. A novel probability matrix build method is also designed within the knowledge of the processing time matrix. The partially-mapped crossover operation works effectively during the CS phase. A suitable knowledge-based local search is also designed in the HEDA_CS to balance the exploitation and exploration. Finally, many simulations based on the new hard Ruiz benchmarks are conducted. Computational results demonstrate the effectiveness of the proposed HEDA_CS. View Full-Text
Keywords: estimation of distribution algorithm (EDA); cuckoo search (CS); HEDA_CS; no idle permutation flow shop scheduling problem (NIPFSP); total tardiness estimation of distribution algorithm (EDA); cuckoo search (CS); HEDA_CS; no idle permutation flow shop scheduling problem (NIPFSP); total tardiness
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Sun, Z.; Gu, X. Hybrid Algorithm Based on an Estimation of Distribution Algorithm and Cuckoo Search for the No Idle Permutation Flow Shop Scheduling Problem with the Total Tardiness Criterion Minimization. Sustainability 2017, 9, 953.

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