iBet uBet web content aggregator. Adding the entire web to your favor.
iBet uBet web content aggregator. Adding the entire web to your favor.



Link to original content: https://unpaywall.org/10.1007/S13042-015-0364-3
Improved discrete mapping differential evolution for multi-unmanned aerial vehicles cooperative multi-targets assignment under unified model | International Journal of Machine Learning and Cybernetics Skip to main content
Log in

Improved discrete mapping differential evolution for multi-unmanned aerial vehicles cooperative multi-targets assignment under unified model

  • Original Article
  • Published:
International Journal of Machine Learning and Cybernetics Aims and scope Submit manuscript

Abstract

The cooperative multi-targets assignment for multiple unmanned aerial vehicles (UAV) is a complex combinatorial optimization problem. Multi-UAVs cooperation increases the scale of problems which cause a noticeable increase in task planning time. Moreover, it is difficult to build a unified assignment model because different tasks often require different numbers of UAVs and targets. Besides, the cooperative constraints of multi-UAVs in a three-dimensional environments are more complex than that in a two-dimensional environments, which makes it difficult to obtain an optimal solution. To solve these problems, we present a unified gene coding strategy to handle various models in a consistent framework. Then, a cooperative target assignment algorithm in a three-dimensional environments based on discrete mapping differential evolution is given. First, we use flight path cost to indicate the assignment relationship between the UAV and the target, which turns the optimization problem from discrete space to continuous space, and so the solving process can be simplified. Secondly, in order to obtain reasonable offspring for differential evolution, we map the solution back to the assignment relationship space according to inverse mapping rules. Finally, to avoid falling into a local optimal, a balance between exploration and exploitation is achieved by combining the dynamic crossover rate with the hybrid evolution strategy. The simulation results show that the proposed discrete mapping differential evolution algorithm with the unified gene coding strategy not only effectively solves the cooperative multi-targets assignment problem, but also improves the accuracy of the multi-targets assignment. It is also suitable for solving the large scale problem of assignment.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Barlow GJ, Oh CK, Smith SF (2008) Evolving cooperative control on sparsely distributed tasks for UAV teams without global communication [C]. In: Proceedings of the 10th annual conference on genetic and evolutionary computation. ACM, pp 177–184

  2. Vandermeersch BRR, Chu QP, Mulder JA et al (2005) Design and Implementation of a mission planner for multiple UCAVs in a SEAD mission [C]. In: AIAA Guidance, Navigation, and Control Conference and Exhibit, vol 6480. AIAA, San Francisco

    Google Scholar 

  3. Eun Y, Bang H (2009) Cooperative task assignment/path planning of multiple unmanned aerial vehicles using genetic algorithms [J]. J Aircr 46(1):338–343

    Article  Google Scholar 

  4. Bethke B, Valenti M, How JP (2008) UAV task assignment [J]. IEEE Robot Autom Mag 15(1):39–44

    Article  Google Scholar 

  5. Yi Liu, Weimin Li, Qinghua Xing et al (2010) Cooperative mission assignment optimization of unmanned combat aerial vehicles based on bi-level programming [J]. Syst Eng Electron 32(3):579–583

    Google Scholar 

  6. Humphrey L, Cohen K (2010) Application of proper orthogonal decomposition and artificial neural networks to multiple UAV task assignment. In: Invited Paper, AIAA Guidance, Navigation, and Control Conference, AIAA, vol 8439. Toronto, Ontario Canada, 2–5 Aug 2010

  7. Hoai ALT, Duc MN, Tao PD (2012) Globally solving a non-linear UAV task assignment problem by stochastic and deterministic optimization approaches [J]. Optim Lett 6(2):315–329

    Article  MathSciNet  MATH  Google Scholar 

  8. Kuhn HW (1956) Variants of the Hungarian method for assignment problems [J]. Nav Res Logist Q 3(4):253–258

    Article  MathSciNet  Google Scholar 

  9. Yi L, MingAn Tong (2002) An application of Hungarian algorithm to the multi-target assignment [J]. Fire Control and Command Control 27(4):34–37

    Google Scholar 

  10. Kuncheva LI (2010) Full-class set classification using the Hungarian algorithm[J]. Int J Mach Learn Cybern 1(1–4):53–61

    Article  Google Scholar 

  11. Bellingham J, Tillerson M, Richards A et al (2003) Multi-task allocation and path planning for cooperating UAVs [M]. Cooperative Control: Models, Applications and Algorithms. Springer, US, pp 23–41

  12. Maddula T, Minai AA, Polycarpou MM (2004) Multi-Target assignment and path planning for groups of UAVs [J]. Recent Dev Coop Control Optim 3:261–272

    Google Scholar 

  13. Lemaire T, Alami R, Lacroix S (2004) A distributed tasks allocation scheme in multi-UAV context [C] Robotics and Automation, 2004. In: Proceedings of ICRA’04. IEEE International Conference on IEEE 2004, vol 4, pp 3622–3627

  14. Sujit PB, Sinha A, Ghose D (2006) Multiple UAV task allocation using negotiation [C]. In: Proceedings of the fifth International Joint Conference on Autonomous agents and multiagent systems. ACM, pp 471–478

  15. Tao L, Lincheng S, Huayong Z, Yifeng Niu (2007) Distributed task allocation & coordination technique of multiple UCAVs for cooperative tasks [J]. Acta Autom Sin 33(7):731–737

    Google Scholar 

  16. Yuan L (2011) Research on resources allocation and formation trajectories optimization for multiple UAVs cooperation mission [D]. National University of Defense Technology, Changsha

    Google Scholar 

  17. Chen J, Sun D (2012) Coalition-based approach to task allocation of multiple robots with resource constraints [J]. IEEE Trans Autom Sci Eng 9(3):516–528

    Article  Google Scholar 

  18. Zhao PS, Jiang JG, Liang CY (2011) A distributed algorithm for parallel multi-task allocation based on profit sharing learning [J]. Acta Autom Sin 37(7):865–872

    Article  MathSciNet  MATH  Google Scholar 

  19. Alidaee B, Wang H, Landram F (2011) On the flexible demand assignment problems: case of unmanned aerial vehicles [J]. IEEE Trans Autom Sci Eng 8(4):865–868

    Article  Google Scholar 

  20. Tian J, Zheng Y, Zhu H et al (2005) A MPC and genetic algorithm based approach for multiple UAVs cooperative search[M] Computational Intelligence and Security. Springer, Berlin

    Google Scholar 

  21. Gupta P, Mehlawat MK, Mittal G (2013) A fuzzy approach to multicriteria assignment problem using exponential membership functions[J]. Int J Mach Learn Cybern 4(6):647–657

    Article  Google Scholar 

  22. Shima T, Schumacher C (2009) Assignment of cooperating UAVs to simultaneous tasks using genetic algorithm [J]. J Oper Res Soc 2008(60):973–982

    Article  MATH  Google Scholar 

  23. Mingyue D, Changwen Z, Chengping Z (2009) Unmanned aerial vehicle trajectory planning. Publishing House of Electronics Industry, Beijing

    Google Scholar 

  24. Salman A, Ahmad I, AI-Madani S (2002) Particle swarm optimization for task assignment problem [J]. Microprocess Microsyst 26(8):363–371

    Article  Google Scholar 

  25. Sujit PB, George JM, Beard R (2008) Multiple UAV Task Allocation Using Particle Swarm Optimization [C]. In: AIAA Guidance, Navigation and Control Conference and Exhibit, AIAA, pp 18–21

  26. Ho SY, Lin HS, Liauh WH et al (2008) OPSO: Orthogonal particle swarm optimization and its application to task assignment problems [J]. IEEE Trans Syst Man Cybern Part A Syst Hum 38(2):288–298

    Google Scholar 

  27. Bo G, Shewei W, Jun T (2009) Cooperative task allocation for unmanned combat aerial vehicles using improved particle colony algorithm [J]. Comput Simul 26(7):62–64

    Google Scholar 

  28. Souravlias D, Parsopoulos KE (2014) Particle swarm optimization with neighborhood-based budget allocation. Int J Mach Learn Cybern, pp 1–27. doi:10.1007/s13042-014-0308-3

  29. Dasgupta P (2008) A multiagent swarming system for distributed automatic target recognition using unmanned aerial vehicles [J]. IEEE Trans Syst Man Cybern Part A Syst Hum 38(3):549–563

    Article  Google Scholar 

  30. Fei S, Yan C, Lincheng S (2008) UAV cooperative multi-task assignment based on ant colony algorithm [J]. Acta Aeronaut Astronaut Sin 29(S1):184–191

    Google Scholar 

  31. Chang WL, Zeng D, Chen RC et al (2013) An artificial bee colony algorithm for data collection path planning in sparse wireless sensor networks. Int J Mach Learn Cybern, pp 1–9. doi:10.1007/s13042-013-0195-z

  32. Jevtic A, Andina D, Jaimes A et al (2010) Unmanned aerial vehicle route optimization using ant system algorithm [C]. In: IEEE 2010 5th International Conference on System of Systems Engineering (SoSE), pp 1–6

  33. Zhong L, Luo Q, Wen D et al (2013) A task assignment algorithm for multiple aerial Vehicles to attack targets with dynamic values [J]. IEEE Trans Intell Transp Syst 14(1):236–248

    Article  Google Scholar 

  34. Zhu D, Huang H, Yang DX (2013) Dynamic task assignment and path planning of Multi-AUV system based on an improved self-organizing map and velocity synthesis method in three-dimensional underwater workspace [J]. IEEE Trans Cybern 43(2):504–514

    Article  Google Scholar 

  35. Gao Q, Zou H, Zhang X et al (2013) New relaxation algorithm for three-dimensional assignment problem [c]. In: IEEE Conference Anthology. IEEE, China, pp 1–4

    Google Scholar 

  36. Engelbrecht AP (2010) Computational intelligence: an introduction[M]. Tsinghua University Press, Beijing Tan Ying translation

    Google Scholar 

  37. Onwubolu G, Davendra D (2009) Differential Evolution for Permutation-Based Combinatorial Problems [M]. Springer, Berlin

    Book  MATH  Google Scholar 

  38. Mezura ME, Velzquez RJ, Coello CA (2006) A comparative study of differential evolution variants for global optimization[C]. In: Proceedings of the 8th annual conference on Genetic and evolutionary computation. ACM, pp 485–492

  39. Min S, Ruixuan W, Zhiming F (2010) Cooperative task assignment for heterogeneous multi-uavs based on differential evolution algorithm [J]. J Syst Simul 22(7):1706–1710

    Google Scholar 

  40. Zhao MS, Xiaohong MP, Lingling Z (2012) A unified modeling method of UAVs cooperative target assignment by complex multi-constraint conditions [J]. Acta Autom Sin 38(12):2038–2048

    Article  Google Scholar 

  41. Storn R, Price K (1997) Differential evolution A simple and efficient heuristic for global optimization over continuous spaces [J]. J Glob Optim 11(4):341–359

    Article  MathSciNet  MATH  Google Scholar 

  42. Otani T, Suzuki R, Arita T (2013) DE/isolated/1: a new mutation operator for multimodal optimization with differential evolution[J]. Int J Mach Learn Cybern 4(2):99–105

    Article  Google Scholar 

  43. Epitropakis MG, Tasoulis DK, Pavlidis NG et al (2011) Enhancing differential evolution utilizing proximity-based mutation operators [J]. IEEE Trans Evol Comput 15(1):99–119

    Article  Google Scholar 

  44. Zamuda A, Brest J, Boskovic B et al (2008) Large scale global optimization using differential evolution with self-adaptation and cooperative co-evolution [C]. In: IEEE Congress on Evolutionary Computation CEC 2008. (IEEE World Congress on Computational Intelligence), IEEE pp 3718–3725

Download references

Acknowledgments

The authors would like to thank the national natural science funds of China: 61175027, 61305013, and the fundamental research funds for the central universities HIT.NSRIF.2015069.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Su Xiaohong.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ming, Z., Lingling, Z., Xiaohong, S. et al. Improved discrete mapping differential evolution for multi-unmanned aerial vehicles cooperative multi-targets assignment under unified model. Int. J. Mach. Learn. & Cyber. 8, 765–780 (2017). https://doi.org/10.1007/s13042-015-0364-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13042-015-0364-3

Keywords

Navigation