Skip to main content

Advertisement

Log in

Hybrid genetic and particle swarm algorithm: redundancy allocation problem

  • Original Article
  • Published:
International Journal of System Assurance Engineering and Management Aims and scope Submit manuscript

Abstract

Redundancy allocation problem (RAP) is a non-linear programming problem which is very difficult to solve through existing heuristic and non-heuristic methods. In this research paper, three algorithms namely heuristic algorithm (HA), constraint optimization genetic algorithm (COGA) and hybrid genetic algorithm combined with particle swarm optimization (HGAPSO) are applied to solve RAP. Results obtained from individual use of genetic algorithm (GA) and particle swarm optimization (PSO) encompass some shortcomings. To overcome the shortcomings with their individual use, HGAPSO is introduced which combines fascinating properties of GA and PSO. Iterative process of GA is used by this hybrid approach after fixing initial best population from PSO. The results obtained from HA, COGA and HGAPSO with respect to increase in reliability are 50.76, 47.30 and 62.31 respectively and results with respect to CPU time obtained are 0.15, 0.209 and 3.07 respectively as shown in Table 3 of this paper. COGA and HGAPSO are programmed by Matlab.

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

Access this article

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • Arif SM, Hussain A, Shin DR (2016) A survey on particle swarm optimization for use in distributed generation placement and sizing. In: MATEC web conferences 70

  • Banks A, Vincent J, Anyakoha C (2008) A review of particle swarm optimization, part II: hybridisation, combinatorial, multicriteria and constrained optimization, and indicative applications. Nat Comput 7:109–124

    Article  MathSciNet  Google Scholar 

  • Billionnet A (2008) Redundancy allocation for series-parallel systems using integer linear programming. IEEE Trans Reliab 57(3):507–516

    Article  MathSciNet  Google Scholar 

  • Busacca PG, Marseguerra M, Zio E (2001) Multiobjective optimization by genetic algorithms: application to safety systems. Reliab Eng Saf Syst 72:59–74

    Article  Google Scholar 

  • Chang WD (2009) PID control for chaotic synchronization using particle swarm optimization chaos. Solitons Fractals 39(2):910–917

    Article  Google Scholar 

  • Coello CAC, Pulido GT, Lechuga MS (2004) Handling multiple objectives with particle swarm optimization. IEEE Trans Evolut Comput 8(3):256–279

    Article  Google Scholar 

  • David WC, Alice ES (1996) Solving the redundancy allocation problem using a combined neural network/genetic algorithm approach

  • Devi S, Garg D (2017) Redundancy-allocation in neel metal products limited. Indian J Sci Technol 10(30):1–5

  • Devi S, Sahu A, Garg D (2017) Redundancy optimization problem via comparative analysis of H-PSOCOGA. In: IEEE Xplore, pp 18–23

  • Gandelli Grimaccia F, Mussetta M, Pirinoli P, Zich RE (2006) Genetical swarm optimization: an evolutionary algorithm for antenna design. J Autom 47(3–4):105–112

    Google Scholar 

  • Garg H (2014) Solving structural engineering design optimization problems using an artificial bee colony algorithm. J Ind Manag Optim 10(3):777–794

    MathSciNet  MATH  Google Scholar 

  • Garg D, Kumar K (2009) Reliability analysis of pharmaceutical plant using Matlab-tool. Int J Electron Eng Res 1(2):127–133

    MathSciNet  Google Scholar 

  • Garg D, Kumar K (2010) Meenu, availability optimization for screw plant based on genetic algorithm. Int J Eng Sci Technol 2(4):658–668

    Google Scholar 

  • Garg H, Sharma SP (2013) Reliability-redundancy allocation problem of pharmaceutical plant. J Eng Sci Technol 8(2):190–198

    Google Scholar 

  • Ghodrati A, Lotfi S (2012) A hybrid CS/GA algorithm for global optimization. In: Proceedings of the international conference on soft computing for problem solving, Roorkee, pp 397–404

  • Ghorabaeea MK, Amiria M, Azimib P (2015) Genetic algorithm for solving bi-objective redundancy allocation problem with k-out-of-n subsystems. Appl Math Model 39(20):6396–6409

    Article  MathSciNet  Google Scholar 

  • Grimaccia Mussetta M, Pirinoli P, Zich RE (2007) Genetical swarm optimization: self-adaptive hybrid evolutionary algorithm for electromagnetic. IEEE Trans Antennas Propag 55(3):781–785

    Article  Google Scholar 

  • Grimaldi EA, Grimacia F, Mussetta M, Pirinoli P, Zich RE (2004) A new hybrid genetical swarm algorithm for electromagnetic optimization. In: Proceedings of international conference on computational electromagnetics and its applications, Beijing, China, pp 157–160

  • Gupta R, Agarwal M (2006) Penalty guided genetic search for redundancy optimization in multi-state series-parallel power system. J Comb Optim 12:257–277

    Article  MathSciNet  Google Scholar 

  • Habib M, Chehade H, Yalaoui F, Chebbo N, Jarkass I (2016) Availability optimization of a redundant dependent system using genetic algorithm. IFAC-Papers Online 49(12):733–738

    Article  Google Scholar 

  • Holland JH (1975a) Adoption in neural and artificial systems. The University of Michigan Press, Ann Arbor

    Google Scholar 

  • Holland JH (1975b) Adaptation in natural and artificial systems. The University of Michigan Press, Ann Arbor

    Google Scholar 

  • Kanagaraj G, Ponnambalam SG, Jawahar N (2013) A hybrid cuckoo search and genetic algorithm for reliability-redundancy allocation problems. Comput Ind Eng 66:1115–1124

    Article  Google Scholar 

  • Kennedy J, Eberhart R (1998) Particle swarm optimization. In: Proceedings of the IEEE conference on neural networks, Piscataway, NJ, USA

  • Kong X, Gao L, Ouyang H, Li S (2014) Solving the redundancy allocation problem with multiple strategy choices using a new simplified particle swarm optimization. Reliab Eng Syst Saf 144:147–158

    Article  Google Scholar 

  • Krink T, Lvbjerg M (2002) The lifecycle model: combining particle swarm optimization, genetic algorithms and hill climbers. In: Proceedings of the parallel problem solving from nature, pp 621–630

  • Ouyang Z, Liu Y, Ruan SJ, Jiang T (2019) An improved particle swarm optimization algorithm for reliability-redundancy allocation problem with mixed redundancy strategy and heterogeneous components. Reliab Eng Syst Saf 181:62–74

    Article  Google Scholar 

  • Puzzi S, Carpinteri A (2008) A double-multiplicative dynamic penalty approach for constrained evolutionary optimization. Struct Multidisc Optim 35:431–445

    Article  MathSciNet  Google Scholar 

  • Robinson J, Sinton S, Samii YR (2002) Particle swarm, genetic algorithm, and their hybrids: optimization of a profiled corrugated horn antenna. In: Proceedings of the IEEE international symposium in antennas and propagation society, pp 314–317

  • Saleem EAA, Dao TM, Liu ZH (2018) Multiple-objective optimization and design of series-parallel systems using novel hybrid genetic algorithm meta-heuristic approach. World J Eng Technol 6:532–555

    Article  Google Scholar 

  • Zhang JD, Jia DL, Li K (2008) FIR digital filters design based on chaotic mutation particle swarm optimization. In: Proceedings of the IEEE international conference on audio, language and image processing, pp 418–422

  • Zhao JQ, Wang L, Zeng P, Fan WH (2012) An effective hybrid genetic algorithm with flexible allowance technique for constrained engineering design optimization. Expert Syst Appl 39:6041–6051

    Article  Google Scholar 

  • Zielinski K, Weitkemper P, Laur R (2009) Optimization of power allocation for interference cancellation with particle swarm optimization. IEEE Trans Evol Comput 13(1):128–150

    Article  Google Scholar 

  • Zou D, Wu L, Gao L, Wang X (2010) A modi¯ed particle swarm optimization algorithm for reliability problems. In: IEEE fifth int. conf.: bio-inspired computing: theories and applications (BIC-TA), pp 1098–1105

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Deepika Garg.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Devi, S., Garg, D. Hybrid genetic and particle swarm algorithm: redundancy allocation problem. Int J Syst Assur Eng Manag 11, 313–319 (2020). https://doi.org/10.1007/s13198-019-00858-x

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13198-019-00858-x

Keywords

Navigation