Application of Fminsearch Optimization to Minimize Total Maintenance Cost with the Aim of Reducing Environmental Degradation
Received: 7 March 2022 | Revised: 24 March 2022 | Accepted: 28 March 2022 | Online: 3 April 2022
Corresponding author: Y. Bella
Abstract
This study examined a production system under deterioration and its impact on the degradation of the environment. The environment degrades as the production system reaches a certain level of deterioration. To reduce environmental degradation, the system's deterioration is monitored through scheduled inspections, after which preventive or corrective actions are taken. To achieve the optimum inspection dates that minimize the average total cost per time unit, the Fminsearch algorithm was applied to calculate the optimal inspection dates for two cases of sequential inspection: periodic and aperiodic. To validate the performance of the proposed Fminsearch algorithm, simulation results were compared with the Nelder-Mead method. The comparison results showed the superiority of the Fminsearch algorithm in optimizing inspection maintenance dates to reduce the environmental degradation ratio.
Keywords:
environment degradation, fminsearch algorithm optimization, maintenance, Nelder-Mead, production systemDownloads
References
Τ. M. Kumar and Ν. A. Singh, "Environmental Economic Dispatch with the use of Particle Swarm Optimization Technique based on Space Reduction Strategy," Engineering, Technology & Applied Science Research, vol. 9, no. 5, pp. 4605–4611, Oct. 2019. DOI: https://doi.org/10.48084/etasr.2969
K. Siderakis, D. Pylarinos, E. Thalassinakis, I. Vitellas, and E. Pyrgioti, "Pollution Maintenance Techniques in Coastal High Voltage Installations," Engineering, Technology & Applied Science Research, vol. 1, no. 1, pp. 1–7, Feb. 2011. DOI: https://doi.org/10.48084/etasr.6
L. T. M. Bui and S. Kapon, "The impact of voluntary programs on polluting behavior: Evidence from pollution prevention programs and toxic releases," Journal of Environmental Economics and Management, vol. 64, no. 1, pp. 31–44, Jul. 2012. DOI: https://doi.org/10.1016/j.jeem.2012.01.002
D. R. Harrington, "Two-stage adoption of different types of pollution prevention (P2) activities," Resource and Energy Economics, vol. 34, no. 3, pp. 349–373, Sep. 2012. DOI: https://doi.org/10.1016/j.reseneeco.2012.02.002
Y. S. Sherif and M. L. Smith, "Optimal maintenance models for systems subject to failure–A Review," Naval Research Logistics Quarterly, vol. 28, no. 1, pp. 47–74, 1981. DOI: https://doi.org/10.1002/nav.3800280104
L. A. Cox Jr. and Y. Qiu, "Optimal inspection and repair of renewable coherent systems with independent components and constant failure rates," Naval Research Logistics (NRL), vol. 41, no. 6, pp. 771–788, 1994. DOI: https://doi.org/10.1002/1520-6750(199410)41:6<771::AID-NAV3220410607>3.0.CO;2-0
A. Chelbi and D. Ait-Kadi, "An optimal inspection strategy for randomly failing equipment," Reliability Engineering & System Safety, vol. 63, no. 2, pp. 127–131, Feb. 1999. DOI: https://doi.org/10.1016/S0951-8320(98)00031-3
B. Castanier, C. Bérenguer, and A. Grall, "A sequential condition-based repair/replacement policy with non-periodic inspections for a system subject to continuous wear," Applied Stochastic Models in Business and Industry, vol. 19, no. 4, pp. 327–347, 2003. DOI: https://doi.org/10.1002/asmb.493
A. Mancuso, M. Compare, A. Salo, and E. Zio, "Optimal Prognostics and Health Management-driven inspection and maintenance strategies for industrial systems," Reliability Engineering & System Safety, vol. 210, Jun. 2021, Art. no. 107536. DOI: https://doi.org/10.1016/j.ress.2021.107536
M. Sharifi and S. Taghipour, "Optimal production and maintenance scheduling for a degrading multi-failure modes single-machine production environment," Applied Soft Computing, vol. 106, Jul. 2021, Art. no. 107312. DOI: https://doi.org/10.1016/j.asoc.2021.107312
W. Fauriat and E. Zio, "Optimization of an aperiodic sequential inspection and condition-based maintenance policy driven by value of information," Reliability Engineering & System Safety, vol. 204, Dec. 2020, Art. no. 107133. DOI: https://doi.org/10.1016/j.ress.2020.107133
M. L. Neves, L. P. Santiago, and C. A. Maia, "A condition-based maintenance policy and input parameters estimation for deteriorating systems under periodic inspection," Computers & Industrial Engineering, vol. 61, no. 3, pp. 503–511, Oct. 2011. DOI: https://doi.org/10.1016/j.cie.2011.04.005
O. A. Adebimpe, V. Oladokun, and O. E. Charles-Owaba, "Preventive Maintenance Interval Prediction: a Spare Parts Inventory Cost and Lost Earning Based Model," Engineering, Technology & Applied Science Research, vol. 5, no. 3, pp. 811–817, Jun. 2015. DOI: https://doi.org/10.48084/etasr.565
N. Rezg, S. Dellagi, and A. Khatab, "Joint Optimization Service and Maintenance Policies under Environmental Constraints," in Joint Optimization of Maintenance and Production Policies, London, UK: John Wiley & Sons, Ltd, 2014, pp. 105–130. DOI: https://doi.org/10.1002/9781118649244.ch5
L. M. Rios and N. V. Sahinidis, "Derivative-free optimization: a review of algorithms and comparison of software implementations," Journal of Global Optimization, vol. 56, no. 3, pp. 1247–1293, Jul. 2013. DOI: https://doi.org/10.1007/s10898-012-9951-y
S. Lavania and D. Nagaria, "Fminsearch Optimization Based Model Order Reduction," in 2016 Second International Conference on Computational Intelligence Communication Technology (CICT), Ghaziabad, India, Oct. 2016, pp. 568–571. DOI: https://doi.org/10.1109/CICT.2016.118
L. Wu and Q. Zhou, "Adaptive sequential predictive maintenance policy with nonperiodic inspection for hard failures," Quality and Reliability Engineering International, vol. 37, no. 3, pp. 1173–1185, 2021. DOI: https://doi.org/10.1002/qre.2788
H. Chouikhi, "Optimisation des stratégies de maintenance verte pour les systèmes de production," Ph.D. dissertation, Université de Lorraine, Lorraine, France, 2012.
S. Khouni and K. E. Hemsas, "Nonlinear System Identification using Uncoupled State Multi-model Approach: Application to the PCB Soldering System," Engineering, Technology & Applied Science Research, vol. 10, no. 1, pp. 5221–5227, Feb. 2020. DOI: https://doi.org/10.48084/etasr.3247
H. Chouikhi, A. Khatab, and N. Rezg, "A condition-based maintenance policy for a production system under excessive environmental degradation," Journal of Intelligent Manufacturing, vol. 25, no. 4, pp. 727–737, Aug. 2014. DOI: https://doi.org/10.1007/s10845-012-0715-9
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