This article presents a comprehensively state-of-the-art investigation of the engineering applications utilized by binary metaheuristic algorithms. Surveyed work is categorized based on application scenarios and solution encoding, and describes these algorithms in detail to help researchers choose appropriate methods to solve related applications. It is seen that transfer function is the main binary coding of metaheuristic algorithms, which usually adopts Sigmoid function. Among the contributions presented, there were different implementations and applications of metaheuristic algorithms, or the study of engineering applications by different objective functions such as the single- and multi-objective problems of feature selection, scheduling, layout and engineering structure optimization. The article identifies current troubles and challenges by the conducted review, and discusses that novel binary algorithm, transfer function, benchmark function, time-consuming problem and application integration are need to be resolved in future.

College of Computer Science and Engineering Shandong University of Science and Technology Qingdao 266590 Shandong China

Department of Information Management Chaoyang University of Technology Taichung 413310 Taiwan

Faculty of Electrical Engineering and Computer Science VŠB Technical University of Ostrava Ostrava 70032 Moravskoslezský kraj Czech Republic

School of Computer Science and Software Engineering Nanyang Institute of Technology Nanyang 473004 Henan China

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