Abstract
This paper studies the M/M/1 machine repair problem using a single service station subject to working breakdowns. This service station can be in working breakdown state only when at least one failed machine exists in the system. The matrix-analytic method is used to compute the steady-state probabilities for the number of failed machines in the system. A cost model is constructed to simultaneously determine the optimal values for the number of operating machines and two variable service rates to minimize the total expected cost per machine per unit time. The particle swarm optimization (PSO) algorithm is implemented to search for the optimal minimum value until the system availability constraint is satisfied.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Servi, L.D., Finn, S.G.: M/M/1 queue with working vacation (M/M/1/WV). Perform. Eval. 50, 41–52 (2002)
Kalidass, K., Kasturi, R.: A queue with working breakdowns. Comput. Ind. Eng. 63, 779–783 (2012)
Wang, K.H.: Profit analysis of the machine repair problem with a single service station subject to breakdowns. J. Oper. Res. Soc. 41, 1153–1160 (1990)
Wang, K.H., Kuo, M.Y.: Profit analysis of the M/Ek/1 machine repair problem with a non-reliable service station. Comput. Ind. Eng. 32, 587–594 (1997)
Wang, K.H.: Profit analysis of the M/M/R machine repair problem with spares and server breakdowns. J. Oper. Res. Soc. 45, 539–548 (1994)
Wang, K.H., Sivazlian, B.D.: Cost analysis of the M/M/R machine repair problem with spares operating under variable service rates. Microelectron. Reliab. 32, 1171–1183 (1992)
Ke, J.C., Wang, K.H.: Cost analysis of the M/M/R machine repair problem with balking, reneging, and server breakdowns. J. Oper. Res. Soc. 50, 275–282 (1999)
Kim, B.K., Lee, D.H.: The M/G/1 queue with disasters and working breakdown. Appl. Math. Model. 38, 1788–1798 (2014)
Liou, C.D.: Markovian queue optimization analysis with an unreliable server subject to working breakdowns and impatient customers. Int. J. Syst. Sci. 46(12), 2165–2182 (2015)
Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: Proceedings of IEEE International Conference on Neural Networks, Piscataway, NJ, pp. 1942–1948 (1995)
Clerc, M.: Particle Swarm Optimization (International Scientific and Technical Encyclopedia). Wiley_ISTE, London (2006)
Alrashidi, M.R., EL-hawary, M.E.: A survey of particle swarm optimization applications in power system operations. Electr. Power Compon. Syst. 34, 1349–1357 (2006)
Neuts, M.F.: Matrix Geometric Solutions in Stochastic Models: An Algorithmic Approach. The John Hopkins University Press, Baltimore (1981)
Shi, Y., Eberhart, R.C.: Parameter selection in particle swarm optimization. In: Porto, V.W., Saravanan, N., Waagen, D., Eiben, A.E. (eds.) EP 1998. LNCS, vol. 1447, pp. 591–600. Springer, Heidelberg (1998). doi:10.1007/BFb0040810
Yoshida, H., Kawata, K., Fukuyama, Y., Nakanishi, Y.: A particle swarm optimization for reactive power and voltage control considering voltage security assessment. IEEE Trans. Power Syst. 15, 1232–1239 (2000)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Wang, KH., Liou, CD. (2017). Particle Swarm Optimization for the Machine Repair Problem with Working Breakdowns. In: Tan, Y., Takagi, H., Shi, Y. (eds) Advances in Swarm Intelligence. ICSI 2017. Lecture Notes in Computer Science(), vol 10385. Springer, Cham. https://doi.org/10.1007/978-3-319-61824-1_26
Download citation
DOI: https://doi.org/10.1007/978-3-319-61824-1_26
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-61823-4
Online ISBN: 978-3-319-61824-1
eBook Packages: Computer ScienceComputer Science (R0)