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Flexible multi-unmanned ground vehicles (MUGVs) in intersection coordination based on ε-constraint probability collectives algorithm

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Abstract

Cooperative navigation (CN) is a widespread technique to have efficient navigation of intelligent vehicles. Nonetheless, the CN strategies need to be more consistent in estimating and managing in-road risks. This paper outlines a flexible CN scheme for multiple unmanned ground vehicles (MUGVs) system to deal with such critical cooperative system. With its relative low execution time, the probability collectives (PC) algorithm has succeeded at generating fast and feasible solutions to cross intersections and roundabouts (Philippe et al. 1928–1934, 2019). However, the PC is still sensitive to uncertainty in the navigation process, which highlights the need to adopt several safety margins. This work focuses on balancing between the high-quality cooperative optimization and acceptable computational speed. Thus, a reliable risk management strategy is proposed by introducing a novel ε-constraint PC method. A real-time communication mechanism is suggested for a distributed system to avoid invalid behavior due to inconsistency. The novel ε-PC based navigation strategy allows the vehicles to adapt their dynamics and react to unexpected events while respecting real-time constraints. One finding appears to be well substantiated by the typical common-yet-difficult scenarios in intensive simulations. The \(\varepsilon\)-PC method can ensure collision-free behaviors and reserve at least 1.5s of reaction time for vehicles’ safety insurance.

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References

  • Adouane, L.: Autonomous Vehicle Navigation: From Behavioral to Hybrid Multi-Controller Architectures. CRC Press, USA (2016)

    Book  Google Scholar 

  • Archer, J.: Indicators for traffic safety assessment and prediction and their application in micro-simulation modelling: a study of urban and suburban intersections. Ph.D. thesis, Kungliga Tekniska högskolan (2005)

  • Ben Lakhal, N.M., Adouane, L., Nasri, O., Hadj Slama, J.B.: Risk management for intelligent vehicles based on interval analysis of ttc. In: 10th IFAC Symposium on Intelligent Autonomous Vehicles IAV 2019: Gdansk, Poland. IFAC-PapersOnLine 52(8), 338–343 (2019). 3–5 July 2019

  • Ben Lakhal, N.M., Nasri, O., Adouane, L., Slama, J.: Reliable modeling for safe navigation of intelligent vehicles: analysis of first and second order set-membership ttc. In: Proceedings of the 17th International Conference on Informatics in Control, Automation and Robotics. Volume 1: ICINCO, pp. 545–552. INSTICC, SciTePress, Paris-France (2020)

  • Berbeglia, G., Cordeau, J.F., Laporte, G.: Dynamic pickup and delivery problems. Eur. J. Oper. Res. 202(1), 8–15 (2010)

    Article  Google Scholar 

  • Bertolazzi, E., Biral, F., Da Lio, M.: Real-time motion planning for multibody systems. Multibody Syst. Dyn. 17(2–3), 119–139 (2007)

    Article  MathSciNet  Google Scholar 

  • Bieniawski, S.R.: Distributed optimization and flight control using collectives. Ph.D. thesis, Stanford University (2005)

  • Chen, L., Englund, C.: Cooperative intersection management: a survey. IEEE Trans. Intell. Transport. Syst. 17(2), 570–586 (2015)

    Article  Google Scholar 

  • Chen, C., Xiang, H., Qiu, T., Wang, C., Zhou, Y., Chang, V.: A rear-end collision prediction scheme based on deep learning in the internet of vehicles. J. Parallel Distrib. Comput. 117, 192–204 (2018)

    Article  Google Scholar 

  • Chin, H.C., Quek, S.T.: Measurement of traffic conflicts. Saf. Sci. 26(3), 169–185 (1997)

    Article  Google Scholar 

  • Coffey, S., Park, S.: Part-time shoulder use operational impact on the safety performance of interstate 476. Traffic Injury Prev. 21(7), 470–475 (2020)

    Article  Google Scholar 

  • Cordeau, J.F., Laporte, G.: The dial-a-ride problem: models and algorithms. Ann. Opera. Res. 153(1), 29–46 (2007)

    Article  MathSciNet  Google Scholar 

  • Di Cairano, S., Bernardini, D., Bemporad, A., Kolmanovsky, I.V.: Stochastic mpc with learning for driver-predictive vehicle control and its application to hev energy management. IEEE Trans. Control Syst. Technol. 22(3), 1018–1031 (2013)

    Article  Google Scholar 

  • Gregoire, J., Qian, X., Frazzoli, E., De La Fortelle, A., Wongpiromsarn, T.: Capacity-aware backpressure traffic signal control. IEEE Trans. Control Netw. Syst. 2(2), 164–173 (2014)

    Article  MathSciNet  Google Scholar 

  • Guo, Q., Li, L., Ban, X.J.: Urban traffic signal control with connected and automated vehicles: a survey. Transport. Res. Part C Emerg. Technol. 101, 313–334 (2019)

    Article  Google Scholar 

  • Haimes, Y.: On a bicriterion formulation of the problems of integrated system identification and system optimization. IEEE Trans. Syst. Man Cybernet. 1(3), 296–297 (1971)

    MathSciNet  MATH  Google Scholar 

  • Hayward, J.C.: Near miss determination through use of a scale of danger. Report No. TTSC 7715, (1972)

  • Hillenbrand, J., Spieker, A.M., Kroschel, K.: A multilevel collision mitigation approach-its situation assessment, decision making, and performance tradeoffs. IEEE Trans. Intell. Transport. Syst. 7(4), 528–540 (2006)

    Article  Google Scholar 

  • Horst, R.: Time-to-collision as a cue for decision-making in braking. Vision in Vehicles–III (1991)

  • Huang, C.F., Bieniawski, S., Wolpert, D.H., Strauss, C.E.: A comparative study of probability collectives based multi-agent systems and genetic algorithms. In: Proceedings of the 7th annual conference on Genetic and evolutionary computation, pp. 751–752 (2005)

  • Hult, R., Campos, G.R., Falcone, P., Wymeersch, H.: An approximate solution to the optimal coordination problem for autonomous vehicles at intersections. In: 2015 American Control Conference (ACC), pp. 763–768. IEEE (2015)

  • Hydén, C.: The development of a method for traffic safety evaluation: the swedish traffic conflicts technique. Bull. Lund Inst. Technol. Depart. 70 (1987)

  • Hyland, M., Mahmassani, H.S.: Dynamic autonomous vehicle fleet operations: optimization-based strategies to assign avs to immediate traveler demand requests. Transport. Res. Part C Emerg. Technol. 92, 278–297 (2018)

    Article  Google Scholar 

  • Iberraken, D., Adouane, L., Denis, D.: Multi-level bayesian decision-making for safe and flexible autonomous navigation in highway environment. In: 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 3984–3990. IEEE (2018)

  • Jansen, K.: Approximation algorithms for the general max-min resource sharing problem: faster and simpler. In: Scandinavian Workshop on Algorithm Theory, pp. 311–322. Springer (2004)

  • Kulkarni, A.J., Tai, K.: Probability collectives: a distributed optimization approach for constrained problems. In: IEEE Congress on Evolutionary Computation, pp. 1–8. IEEE (2010a)

  • Kulkarni, A.J., Tai, K.: Probability collectives: a multi-agent approach for solving combinatorial optimization problems. Appl. Soft Comput. 10(3), 759–771 (2010b)

    Article  Google Scholar 

  • Kulkarni, A.J., Tai, K.: Solving constrained optimization problems using probability collectives and a penalty function approach. Int. J. Comput. Intell. Appl. 10(04), 445–470 (2011)

    Article  Google Scholar 

  • Kulkarni, A.J., Patankar, N.S., Tai, K.: Constraint handling in probability collectives using a modified feasibility-based rule. Int. J. Comput. Sci. Eng. 13(4), 303–321 (2016)

    Google Scholar 

  • Lord, D., Persaud, B.N.: Estimating the safety performance of urban road transportation networks. Accident Anal. Prev. 36(4), 609–620 (2004)

    Article  Google Scholar 

  • Manzinger, S., Althoff, M.: Tactical decision making for cooperative vehicles using reachable sets. In: 2018 21st International Conference on Intelligent Transportation Systems (ITSC), pp. 444–451. IEEE (2018)

  • Mavrotas, G.: Effective implementation of the \(\varepsilon\)-constraint method in multi-objective mathematical programming problems. Appl. Math. Comput. 213(2), 455–465 (2009)

    MathSciNet  MATH  Google Scholar 

  • Miettinen, K.: Nonlinear Multiobjective Optimization, vol. 12. Springer Science & Business Media, Germany (2012)

    MATH  Google Scholar 

  • Milanés, V., Villagrá, J., Godoy, J., Simó, J., Pérez, J., Onieva, E.: An intelligent v2i-based traffic management system. IEEE Trans. Intell. Transport. Syst. 13(1), 49–58 (2012)

    Article  Google Scholar 

  • Nasri, O., Ben Lakhal, N.M., Adouane, L., Ben Hadj Slama, J.: Automotive decentralized diagnosis based on can real-time analysis. J. Syst. Arch. 98, 249–258 (2019). https://doi.org/10.1016/j.sysarc.2019.01.009

    Article  Google Scholar 

  • Philippe, C., Adouane, L., Tsourdos, A., Shin, H.S., Thuilot, B.: Probability collectives algorithm applied to decentralized intersection coordination for connected autonomous vehicles. In: 2019 IEEE Intelligent Vehicles Symposium (IV), pp. 1928–1934 (2019)

  • Schwarting, W., Pierson, A., Alonso-Mora, J., Karaman, S., Rus, D.: Social behavior for autonomous vehicles. Proc. Nat. Acad. Sci. 116(50), 24972–24978 (2019)

    Article  MathSciNet  Google Scholar 

  • Sislak, D., Volf, P., Pechoucek, M., Suri, N.: Automated conflict resolution utilizing probability collectives optimizer. IEEE Trans. Syst. Man Cybernet. Part C (Appl. Rev.) 41(3), 365–375 (2010)

    Article  Google Scholar 

  • Suzuki, H., Marumo, Y.: A new approach to green light optimal speed advisory (glosa) systems for high-density traffic flowe. In: 2018 21st International Conference on Intelligent Transportation Systems (ITSC), pp. 362–367. IEEE (2018)

  • Ward, J., Agamennoni, G., Worrall, S., Nebot, E.: Vehicle collision probability calculation for general traffic scenarios under uncertainty. In: 2014 IEEE Intelligent Vehicles Symposium Proceedings, pp. 986–992. IEEE (2014)

  • Wolpert, D.H.: Information theory—the bridge connecting bounded rational game theory and statistical physics. In: Complex Engineered Systems, pp. 262–290. Springer (2006)

  • Yang, B., Wu, R.: A modified probability collectives optimization algorithm based on trust region method and a new temperature annealing schedule. Soft Comput. 20(4), 1581–1600 (2016)

    Article  Google Scholar 

  • Zhu., Z., Adouane., L., Quilliot., A.: A decentralized multi-criteria optimization algorithm for multi-unmanned ground vehicles (mugvs) navigation at signal-free intersection. In: The 16th IFAC Symposium on Control in Transportation Systems (CTS 2021). Lille-France (2021)

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Acknowledgements

This work has been sponsored by the Chinese Ministry of Industry and Information Technology (MIIT) research program the 2020 Innovative Development of the Industrial Internet (TC200H033 and TC200H01F), by the Dongfeng Motor Corporation project 928 (DF928-2020-040). This work received also the support of IMobS3 Laboratory of Excellence (ANR-10-LABX-16-01).

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Correspondence to Zhengze Zhu.

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Zhu, Z., Adouane, L. & Quilliot, A. Flexible multi-unmanned ground vehicles (MUGVs) in intersection coordination based on ε-constraint probability collectives algorithm. Int J Intell Robot Appl 5, 156–175 (2021). https://doi.org/10.1007/s41315-021-00181-4

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