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The Dynamic Team Orienteering Problem

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  • Kirac, Emre
  • Milburn, Ashlea Bennett
  • Gedik, Ridvan

Abstract

This study introduces a new dynamic routing problem, namely the Dynamic Team Orienteering Problem (DTOP), which is a dynamic variant of the Team Orienteering Problem (TOP). In the DTOP, some customer locations are known a priori, while others are dynamic, with each location associated with a profit value. The goal is to maximize the sum of collected profits by visiting a set of customer locations within a time limit. This problem arises in several practical applications such as disaster relief, technician, tourist, and school bus routing problems. We adopt a Multiple Plan Approach (MPA) to solve the proposed problem, utilizing both a consensus function method and a demand-served method to select the distinguished plan—the most promising solution from a pool of alternative routing plans. To assess the effectiveness of these methods, we employ a sophisticated greedy algorithm tailored to address the unique challenges posed by the DTOP. In addition, we employ a reference offline algorithm designed for solving the static variant of the problem. To facilitate our evaluation, we introduce a comprehensive set of 1161 new benchmark instances for the DTOP, adapted from well-established TOP benchmark instances. Our comparative analysis centers on the average percentage deviation of algorithmic solutions from the reference offline solutions.

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  • Kirac, Emre & Milburn, Ashlea Bennett & Gedik, Ridvan, 2025. "The Dynamic Team Orienteering Problem," European Journal of Operational Research, Elsevier, vol. 324(1), pages 22-39.
    • Handle: RePEc:eee:ejores:v:324:y:2025:i:1:p:22-39
    DOI: 10.1016/j.ejor.2025.01.009
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