An integer linear programming model for fair multitarget tracking in cooperative multirobot systems

  • Jacopo Banfi
  • Jérôme Guzzi
  • Francesco Amigoni
  • Eduardo Feo Flushing
  • Alessandro Giusti
  • Luca Gambardella
  • Gianni A. Di Caro
Article
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Abstract

Cooperative Multi-Robot Observation of Multiple Moving Targets (CMOMMT) denotes a class of problems in which a set of autonomous mobile robots equipped with limited-range sensors keep under observation a (possibly larger) set of mobile targets. In the existing literature, it is common to let the robots cooperatively plan their motion in order to maximize the average targets’ detection rate, defined as the percentage of mission steps in which a target is observed by at least one robot. We present a novel optimization model for CMOMMT scenarios which features fairness of observation among different targets as an additional objective. The proposed integer linear formulation exploits available knowledge about the expected motion patterns of the targets, represented as a probabilistic occupancy maps estimated in a Bayesian framework. An empirical analysis of the model is performed in simulation, considering multiple scenarios to study the effects of the amount of robots and of the prediction accuracy for the mobility of the targets. Both centralized and distributed implementations are presented and compared to each other evaluating the impact of multi-hop communications and limited information sharing. The proposed solutions are also compared to two algorithms selected from the literature. The model is finally validated on a real team of ground robots in a limited set of scenarios.

Keywords

Multirobot systems Cooperative target tracking Fair resource allocation 

Notes

Acknowledgements

The authors would like to thank Nicola Basilico for useful discussions about this work.

Supplementary material

Supplementary material 1 (mp4 17879 KB)

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Artificial Intelligence and Robotics LaboratoryPolitecnico di MilanoMilanItaly
  2. 2.Dalle Molle Institute for Artificial Intelligence (IDSIA)LuganoSwitzerland
  3. 3.Department of Computer ScienceCarnegie Mellon UniversityDohaQatar

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