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A Novel Solution Encoding in the Differential Evolution Algorithm for Optimizing Tourist Trip Design Problems

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Learning and Intelligent Optimization (LION 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11968))

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Abstract

In this paper, a tourist trip design problem is simulated by the Capacitated Team Orienteering Problem (CTOP). The objective of the CTOP is to form feasible solution, as a set of itineraries, that represent a sequence visit of nodes, that maximize the total prize collected from them. Each itinerary is constrained by the vehicle capacity and the total travelled time. The proposed algorithmic framework, the Distance Related Differential Algorithm (DRDE), is a combination of the widely-known Differential Evolution algorithm (DE) and a novel encoding/decoding process, namely the Distance Related (DR). The process is based on the representation of the solution vector by the Euclidean Distance of the included nodes and offers a data-oriented approach to apply the original DE to a discrete optimization problem, such as the CTOP. The efficiency of the proposed algorithm is demonstrated over computational experiments.

This research is co-financed by Greece and the European Union (European Social Fund- ESF) through the Operational Programme Human Resources Development, Education and Lifelong Learning in the context of the project “Strengthening Human Resources Research Potential via Doctorate Research” (MIS-5000432), implemented by the State Scholarships Foundation (IKY).

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Authors and Affiliations

  1. Technical University of Crete, School of Production Engineering and Management University Campus, Chania, Crete, Greece

    Dimitra Trachanatzi, Manousos Rigakis, Andromachi Taxidou, Magdalene Marinaki, Yannis Marinakis & Nikolaos Matsatsinis

Authors
  1. Dimitra Trachanatzi
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  2. Manousos Rigakis
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  3. Andromachi Taxidou
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  4. Magdalene Marinaki
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  5. Yannis Marinakis
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  6. Nikolaos Matsatsinis
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Corresponding author

Correspondence to Dimitra Trachanatzi .

Editor information

Editors and Affiliations

  1. Technical University of Crete, Chania, Greece

    Nikolaos F. Matsatsinis

  2. Technical University of Crete, Chania, Greece

    Yannis Marinakis

  3. Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, USA

    Panos Pardalos

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Trachanatzi, D., Rigakis, M., Taxidou, A., Marinaki, M., Marinakis, Y., Matsatsinis, N. (2020). A Novel Solution Encoding in the Differential Evolution Algorithm for Optimizing Tourist Trip Design Problems. In: Matsatsinis, N., Marinakis, Y., Pardalos, P. (eds) Learning and Intelligent Optimization. LION 2019. Lecture Notes in Computer Science(), vol 11968. Springer, Cham. https://doi.org/10.1007/978-3-030-38629-0_21

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