Simple Policies for Capacitated Resupply Problems (Short Paper)

Authors Mette Wagenvoort , Martijn van Ee , Paul Bouman , Kerry M. Malone

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Author Details

Mette Wagenvoort
  • Econometric Institute, Erasmus University Rotterdam, The Netherlands
Martijn van Ee
  • Faculty of Military Sciences, Netherlands Defence Academy, Den Helder, The Netherlands
Paul Bouman
  • Econometric Institute, Erasmus University Rotterdam, The Netherlands
Kerry M. Malone
  • Military Operations, TNO, The Hague, The Netherlands

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Mette Wagenvoort, Martijn van Ee, Paul Bouman, and Kerry M. Malone. Simple Policies for Capacitated Resupply Problems (Short Paper). In 23rd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2023). Open Access Series in Informatics (OASIcs), Volume 115, pp. 18:1-18:6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)


We consider the Capacitated Resupply Problem in which locations with a given demand rate should be resupplied by vehicles such that they do not run out of stock and the number of vehicles is minimised. Compared to related problems, we consider the scenario where the payload of the vehicles may not suffice to bring the stock level back to full capacity. We focus on the Homogeneous Capacitated Resupply Problem and present both simple policies that provide 2-approximations and an optimal greedy policy that runs in pseudo-polynomial time.

Subject Classification

ACM Subject Classification
  • Applied computing → Transportation
  • resupply problems
  • periodic schedules
  • approximation guarantee
  • greedy policy


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  1. Edgar Arribas, Vicent Cholvi, and Vincenzo Mancuso. Optimizing uav resupply scheduling for heterogeneous and persistent aerial service. IEEE Transactions on Robotics, 2023. Google Scholar
  2. Amotz Bar-Noy and Richard E Ladner. Windows scheduling problems for broadcast systems. SIAM Journal on Computing, 32(4):1091-1113, 2003. Google Scholar
  3. Sofie Coene, Frits C. R. Spieksma, and Gerhard J. Woeginger. Charlemagne’s challenge: The periodic latency problem. Operations Research, 59(3):674-683, 2011. Google Scholar
  4. Robert Holte, Al Mok, Louis Rosier, Igor Tulchinsky, and Donald Varvel. The pinwheel: A real-time scheduling problem. In Proceedings of the 22th Annual Hawaii International Conference on System Sciences, volume 2, pages 693-702, 1989. Google Scholar
  5. Tobias Jacobs and Salvatore Longo. A new perspective on the windows scheduling problem. arXiv preprint arXiv:1410.7237, 2014. Google Scholar