Orienteering Problems

Models and Algorithms for Vehicle Routing Problems with Profits

  • Pieter Vansteenwegen
  • Aldy Gunawan

Part of the EURO Advanced Tutorials on Operational Research book series (EUROATOR)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Pieter Vansteenwegen, Aldy Gunawan
    Pages 1-5
  3. Pieter Vansteenwegen, Aldy Gunawan
    Pages 21-32
  4. Pieter Vansteenwegen, Aldy Gunawan
    Pages 33-40
  5. Pieter Vansteenwegen, Aldy Gunawan
    Pages 41-66
  6. Pieter Vansteenwegen, Aldy Gunawan
    Pages 67-81
  7. Pieter Vansteenwegen, Aldy Gunawan
    Pages 83-93
  8. Pieter Vansteenwegen, Aldy Gunawan
    Pages 95-112

About this book


This tutorial introduces readers to several variants of routing problems with profits. In these routing problems each node has a certain profit, and not all nodes need to be visited. Since the orienteering problem (OP) is by far the most frequently studied problem in this category of routing problems, the book mainly focuses on the OP. In turn, other problems are presented as variants of the OP, focusing on the similarities and differences. The goal of the OP is to determine a subset of nodes to visit and in which order, so that the total collected profit is maximized and a given time budget is not exceeded.

The book provides a comprehensive review of variants of the OP, such as the team OP, the team OP with time windows, the profitable tour problem, and the prize-collecting travelling salesperson problem. In addition, it presents mathematical models and techniques for solving these OP variants and discusses their complexity. Several simple examples and benchmark instances, together with their best-known results, are also included. Finally, the book reviews the latest applications of these problems in the fields of logistics, tourism and others.


Vehicle routing optimization Routing in mobile crowdsourcing Routing in healthcare Routing in tourism Satellite scheduling Routing with profit Qualitative aspects of routing Quantitative aspects of routing Routing with many variants Benchmark instances Node routing problems

Authors and affiliations

  • Pieter Vansteenwegen
    • 1
  • Aldy Gunawan
    • 2
  1. 1.KU Leuven Mobility Research CentreUniversity of LeuvenLeuvenBelgium
  2. 2.School of Information SystemsSingapore Management UniversitySingapore

Bibliographic information

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