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Evolutionary Bilevel Optimization: An Introduction and Recent Advances

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Recent Advances in Evolutionary Multi-objective Optimization

Part of the book series: Adaptation, Learning, and Optimization ((ALO,volume 20))

Abstract

Bilevel optimization involves two levels of optimization where one optimization level acts as a constraint to another optimization level. There are enormous applications that are bilevel in nature; however, given the difficulties associated with solving this difficult class of problem, the area still lacks efficient solution methods capable of handling complex application problems. Most of the available solution methods can either be applied to highly restrictive class of problems, or are computationally very expensive such that they do not scale for large scale bilevel problems. The difficulties in bilevel programming arise primarily from the nested structure of the problem. Evolutionary algorithms have been able to demonstrate its potential in solving single-level optimization problems. In this chapter, we provide an introduction to the progress made by the evolutionary computation community towards handling bilevel problems. The chapter highlights past research and future research directions both on single as well as multiobjective bilevel programming. Some of the immediate application areas of bilevel programming have also been highlighted.

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Authors and Affiliations

  1. Production and Quantitative Methods, Indian Institute of Management, Ahmedabad, 380015, India

    Ankur Sinha

  2. Department of Information and Service Economy, Aalto University School of Business, PO Box 21220, 00076, Aalto, Finland

    Pekka Malo

  3. Department of Electrical and Computer Engineering, Michigan State University, East Lansing, MI, USA

    Kalyanmoy Deb

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  1. Ankur Sinha
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  2. Pekka Malo
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  3. Kalyanmoy Deb
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Correspondence to Ankur Sinha .

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Editors and Affiliations

  1. SOIE lab, Computer Science Department, University of Tunis, ISG-Tunis , Bouchoucha, Le Bardo, Tunisia

    Slim Bechikh

  2. Department of Mechanical Engineering, Institute of Technology, Kalyanpur, Kanpur, Uttar Pradesh, India

    Rituparna Datta

  3. School of Computer Engineering, Nanyang Technological University, Singapore, Singapore

    Abhishek Gupta

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Sinha, A., Malo, P., Deb, K. (2017). Evolutionary Bilevel Optimization: An Introduction and Recent Advances. In: Bechikh, S., Datta, R., Gupta, A. (eds) Recent Advances in Evolutionary Multi-objective Optimization. Adaptation, Learning, and Optimization, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-319-42978-6_3

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  • DOI: https://doi.org/10.1007/978-3-319-42978-6_3

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