Skip to main content

Advertisement

Log in

Solving robot path planning problem by using a new elitist multi-objective IWD algorithm based on coefficient of variation

  • Methodologies and Application
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

In this paper, we want to solve multi-objective robot path planning problem. A new elitist multi-objective approach is proposed to determine Pareto front based on coefficient of variation. Intelligent water drops (IWD) algorithm is generalized by this approach and as a new multi-objective IWD algorithm. We call our new algorithm CV-based MO-IWD. It tried to optimize two objectives: length and safety of the path. In the CV-based MO-IWD, we want to discover solutions as close to optimal Pareto solutions as possible and find solutions as diverse as possible in the obtained Pareto front. In this way, coefficient of variation of Pareto front is determined in each objective. Then, appropriate number of heuristic operations (local search in this paper) is calculated and applied for each solution. Implementation results and comparisons with NSGA_II algorithm show the ability of the proposed approach to achieve a near optimal Pareto front with a good diversity, while the number of fitness function calls does not increase. This method is superior because of suitable distribution of heuristic operations.

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
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

Explore related subjects

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

References

  • Ahmed F, Deb K (2011) Multi-objective path planning using spline representation. In: Proceedings of the IEEE international conference on robotics and biomimetics (IEEE-ROBIO), Piscatway. pp 1047–1052

  • Ahmed F, Deb K (2013) Multi-objective optimal path planning using elitist non-dominated sorting genetic algorithms. Soft Comput 17(7):1283–1299

    Article  Google Scholar 

  • Alaya C Solnon, Ghedira K (2007) Ant colony optimization for multi-objective optimization problems. In: 19th IEEE international conference on tools with artificial intelligence (ICTAI), vol 1, pp 450-457

  • Angus D, Woodward C (2009) Multiple objective ant colony optimisation. Swarm Intell 3(1):69–85

    Article  Google Scholar 

  • Barán B, Schaerer M (2003) A multiobjective ant colony system for vehicle routing problem with time windows. In: Proceedings of the 21st IASTED International Conference, Applied informatics, Innsbruck, Austria, pp 97–102

  • Botzheim J, Toda Y, Kubota N (2012) Bacterial memetic algorithm for offline path planning of mobile robots. Memet Comput 4(1):73–86

    Article  Google Scholar 

  • Castilho O, Trujilo L (2005) Multiple objective optimization genetic algorithms for path planning in autonomous mobile robots. Int J Comput Syst Signal 6(1):48–63

    Google Scholar 

  • Dakulović M, Petrović I (2011) Two-way D* algorithm for path planning and replanning. Robot Auton Syst 59(5):329–342

    Article  Google Scholar 

  • Davoodi M, Panahi F, Mohades A, Hashemi SN (2013) Multi-objective path planning in discrete space. Appl Soft Comput 13(1):709–720

    Article  Google Scholar 

  • Deb K (2001) Multi-objective optimization using evolutionary algorithms. Wiley, Hoboken

    MATH  Google Scholar 

  • Deb K, Agrawal S, Pratap A, Meyarivan T (2000) A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II. In: Lecture notes in computer science, vol 1917, pp 849–858

  • Doerner K, Gutjahr WJ, Hartl RF, Strauss C, Stummer C (2004) Pareto ant colony optimization: a metaheuristic approach to multiobjective portfolio selection. Ann Oper Res 131(1–4):79–99

    Article  MathSciNet  MATH  Google Scholar 

  • Doerner KF, Hartl RF, Reimann M (2003) Are CompetAnts more competent for problem solving? The case of a multiple objective transportation problem. Cent Eur J Oper Res Econ 11(2):115–141

    MATH  Google Scholar 

  • Ferariu L, Cimpanu C (2014) Multiobjective hybrid evolutionary path planning with adaptive pareto ranking of variable-length chromosomes. In: 2014 IEEE 12th international symposium on applied machine intelligence and informatics (SAMI), pp 73–78

  • Fonseca CM, Fleming PJ (1993) Genetic algorithms for multiobjective optimization: Formulation, discussion and generalization. In: Proceedings of the fifth international conference on genetic algorithms, vol 423, pp 416–423

  • Gong D, Lu L, Li M (2009) Robot path planning in uncertain environments based on particle swarm optimization. In: IEEE congress on evolutionary computation, 2009 (CEC’09), pp 2127–2134

  • Gong DW, Zhang JH, Zhang Y (2011) Multi-objective particle swarm optimization for robot path planning in environment with danger sources. J Comput 6(8):1554–1561

    Article  Google Scholar 

  • López-Ibánez M, Stützle T (2011) The automatic design of multi-objective ant colony optimization algorithms. IEEE Trans Evol Comput 16:861–875

    Article  Google Scholar 

  • Lu Y, Huo X, Arslan O, Tsiotras P (2011) Incremental multi-scale search algorithm for dynamic path planning with low worst-case complexity. IEEE Trans Syst Man Cybern B Cybern 41(6):1556–1570

    Article  Google Scholar 

  • Lu Y, Huo X, Tsiotras P (2010) Beamlet-like data processing for accelerated path-planning using multiscale information of the environment. In: 49th IEEE conference on decision and control (CDC), 2010, pp 3808–3813

  • Masehian E, Sedighizadeh D (2007) Classic and heuristic approaches in robot motion planning—a chronological review. World Acad Sci Eng Technol 29(1):101–106

    Google Scholar 

  • Mohanty PK, Kumar S, Parhi DR (2015) A new ecologically inspired algorithm for mobile robot navigation. In: Proceedings of the 3rd international conference on frontiers of intelligent computing: theory and applications (FICTA) 2014. Springer International Publishing, pp 755–762

  • Osyczka A, Kundu S (1995) A new method to solve generalized multicriteria optimization problems using the simple genetic algorithm. Struct Optim 10(2):94–99

    Article  Google Scholar 

  • Salmanpour S, Motameni H (2014) Optimal path planning for mobile robot using Intelligent Water Drops algorithm. J Intell Fuzzy Syst 27(3):1519–1531

    Google Scholar 

  • Shah-Hosseini H (2012) An approach to continuous optimization by the intelligent water drops algorithm. Proc Soc Behav Sci 32(224–229):2012

    Google Scholar 

  • Shah-Hosseini H (2009) The intelligent water drops algorithm: a nature-inspired swarm-based optimization algorithm. Int J Bio-Inspired Comput 1(1):71–79

    Article  Google Scholar 

  • Srinivas N, Deb K (1994) Muiltiobjective optimization using nondominated sorting in genetic algorithms. Evol Comput 2(3):221–248

    Article  Google Scholar 

  • Stentz, (1995) The focussed D* algorithm for real-time replanning. In: International joint conference on artificial intelligence, vol 14, pp 1652–1659

  • Sugihara K (1997) A case study on tuning of genetic algorithms by using performance evaluation based on experimental design. In: Proceedings of the 1997 joint conference on information sciences

  • Tuncer, Yildirim M (2012) Dynamic path planning of mobile robots with improved genetic algorithm. Comput Electr Eng 38(6):1564–1572

  • Zhangqi W, Xiaoguang Z, Qingyao H (2011) Mobile robot path planning based on parameter optimization ant colony algorithm. Proc Eng 15:2738–2741

    Article  Google Scholar 

  • Zitzler E, Thiele L (1998) An evolutionary algorithm for multiobjective optimization: The strength pareto approach. Computer Engineering and Networks Laboratory (TIK), Swiss Federal Institute of Technology Zürich (ETH)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Soheila Salmanpour.

Ethics declarations

Conflict of interest

This manuscript is completed as an autonomous research and does not use any facility of any organization. It does not have any actual or potential conflict of interest including any financial, personal or other relationships with other people or organization. The researchers who involved in this research are from Tabari university and Sharif university of technology of Iran.

Additional information

Communicated by V. Loia.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Salmanpour, S., Monfared, H. & Omranpour, H. Solving robot path planning problem by using a new elitist multi-objective IWD algorithm based on coefficient of variation. Soft Comput 21, 3063–3079 (2017). https://doi.org/10.1007/s00500-015-1991-z

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-015-1991-z

Keywords

Navigation