Path planning for cooperative routing of air-ground vehicles

We consider a cooperative vehicle routing problem for surveillance and reconnaissance missions with communication constraints between the vehicles. We propose a framework which involves a ground vehicle and an aerial vehicle; the vehicles travel cooperatively satisfying the communication limits, and visit a set of targets. We present a mixed integer linear programming (MILP) formulation and develop a branch-and-cut algorithm to solve the path planning problem for the ground and air vehicles. The effectiveness of the proposed approach is corroborated through extensive computational experiments on several randomly generated instances.

[1]  Daniele Vigo,et al.  The Two-Echelon Capacitated Vehicle Routing Problem: Models and Math-Based Heuristics , 2011, Transp. Sci..

[2]  Pierre T. Kabamba,et al.  Cooperative Surveillance and Pursuit Using Unmanned Aerial Vehicles and Unattended Ground Sensors , 2015, Sensors.

[3]  William J. Cook,et al.  The Traveling Salesman Problem: A Computational Study , 2007 .

[4]  Yasamin Mostofi,et al.  Dynamic Networked Coverage of Time-Varying Environments in the Presence of Fading Communication Channels , 2014, ACM Trans. Sens. Networks.

[5]  M. Shanmugavel,et al.  Cooperative Path Planning of Unmanned Aerial Vehicles , 2010 .

[6]  P. B. Sujit,et al.  On cooperation between a fuel constrained UAV and a refueling UGV for large scale mapping applications , 2015, 2015 International Conference on Unmanned Aircraft Systems (ICUAS).

[7]  John P. Fonseka,et al.  Hierarchical self-healing rings , 1995, TNET.

[8]  Mauro Dell'Amico,et al.  The Capacitated m-Ring-Star Problem , 2007, Oper. Res..

[9]  Kelly Cohen,et al.  A Formulation and Heuristic Approach to Task Allocation and Routing of UAVs under Limited Communication , 2014 .

[10]  M. Ani Hsieh,et al.  Maintaining network connectivity and performance in robot teams , 2008, J. Field Robotics.

[11]  Mauro Dell'Amico,et al.  Heuristic algorithms for the multi-depot ring-star problem , 2010, Eur. J. Oper. Res..

[12]  Matteo Fischetti,et al.  A Branch-and-Cut Algorithm for the Symmetric Generalized Traveling Salesman Problem , 1997, Oper. Res..

[13]  Kevin M. Passino,et al.  Cooperative scheduling of tasks for networked uninhabited autonomous vehicles , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[14]  Vijay Kumar,et al.  Cooperative air and ground surveillance , 2006, IEEE Robotics & Automation Magazine.

[15]  G. Holland,et al.  Applications of Aerosondes in the Arctic , 2004 .

[16]  Eli V. Olinick,et al.  SONET/SDH Ring Assignment with Capacity Constraints , 2003, Discret. Appl. Math..

[17]  Thomas R. Stidsen,et al.  Hierarchical Ring Network Design Using Branch-and-Price , 2005, Telecommun. Syst..

[18]  Steven Lake Waslander,et al.  Planning Paths for Package Delivery in Heterogeneous Multirobot Teams , 2015, IEEE Transactions on Automation Science and Engineering.

[19]  Kaarthik Sundar,et al.  Multiple depot ring star problem: a polyhedral study and an exact algorithm , 2014, Journal of Global Optimization.

[20]  Inmaculada Rodríguez Martín,et al.  The Ring Star Problem: Polyhedral analysis and exact algorithm , 2004, Networks.

[21]  Paolo Toth,et al.  Vehicle Routing , 2014, Vehicle Routing.

[22]  Kemal Altinkemer,et al.  Topological design of ring networks , 1994, Comput. Oper. Res..

[23]  Alan Edelman,et al.  Julia: A Fresh Approach to Numerical Computing , 2014, SIAM Rev..

[24]  Martin Grötschel,et al.  Solution of large-scale symmetric travelling salesman problems , 1991, Math. Program..

[25]  Eric W. Frew,et al.  Networking Issues for Small Unmanned Aircraft Systems , 2009, J. Intell. Robotic Syst..

[26]  J. G. Klincewicz,et al.  HUB LOCATION IN BACKBONE/TRIBUTARY NETWORK DESIGN: A REVIEW , 1998 .

[27]  J. Redi,et al.  Coordinated flocking of UAVs for improved connectivity of mobile ground nodes , 2004, IEEE MILCOM 2004. Military Communications Conference, 2004..

[28]  Iain Dunning,et al.  Computing in Operations Research Using Julia , 2013, INFORMS J. Comput..

[29]  J. Edmonds Paths, Trees, and Flowers , 1965, Canadian Journal of Mathematics.

[30]  Seán McGarraghy,et al.  Investigation of the Ring Spur Assignment Problem , 2009 .

[31]  Tal Shima,et al.  UAV Cooperative Decision and Control: Challenges and Practical Approaches , 2008 .

[32]  K. Sundar,et al.  An exact algorithm for a heterogeneous, multiple depot, multiple traveling salesman problem , 2015, 2015 International Conference on Unmanned Aircraft Systems (ICUAS).