A Fuzzy Multi-Objective Mixed Integer Linear Programming Model for End of Life Use

Suna Çınar

doi:10.29130/dubited.988963

EN TR

A Fuzzy Multi-Objective Mixed Integer Linear Programming Model for End of Life Use

Abstract

One of the main challenges of designing the effective reverse logistic network is to predict the amount of product which reach end of their useful life. Thus, in this study, we propose fuzzy multi-objective mixed integer linear programming (Fuzzy-MOMILP) model which the amount of returned product is considered as an uncertain parameter. In order to solve the proposed multi objective fuzzy mathematical programming model, a fuzzy solution approach is applied. The proposed Fuzzy-MOMILP model seeks to minimize the total reverse logistic network cost and minimize the total carbon emissions related to the transportation and processing of used products. To validate the model, a case study is examined. The results of this study indicate that the proposed model can be used to design a sustainable reverse logistic network for end-of-life (EOL) products.

Keywords

Fuzzy approach, Multi-objective optimization, Emissions

Kullanım Ömrü Tamamlanmış Ürünler için Bulanık Çok Amaçlı Karma Tamsayılı Doğrusal Programlama

Abstract

Etkili bir tersine lojistik ağı tasarlamanın temel zorluklarından biri, kullanım ömrünü tamamlamış geri dönüşüm veya başka amaçlar için kullanılacak ürünlerin miktarını tahmin etmektir. Bu nedenle bu çalışmada, kullanım ömrünü tamamlamış ürünlerin geridönüşüm için veya başka maksatla kullanılacak olması sebebi ile geri dönüşüm döngüsünde ürün miktarının belirsiz bir parametre olarak kabul edildiği bulanık mantık çok amaçlı karma tamsayılı doğrusal programlama (Fuzzy-MOMILP) modeli önerilmiştir. Önerilen çok amaçlı bulanık mantık matematiksel programlama modelini çözmek için bir bulanık çözüm yaklaşımı uygulanmıştır. Önerilen Fuzzy-MOMILP modeli, toplam tersine lojistik ağ maliyetini en aza indirmeyi ve kullanılmış ürünlerin taşınması ve işlenmesiyle ilgili toplam karbon emisyonlarını en aza indirmeyi amaçlamaktadır. Önerilen modeli doğrulamak için bir vaka çalışması incelenmiştir. Bu çalışmanın sonuçları, önerilen modelin ömrünü tamamlamış ürünler için sürdürülebilir tersine lojistik ağı kurulurken fayda sağlayacağı gözlenmiştir.

Keywords

Bulanık yaklaşım, Çok amaçlı optimizasyon, Emisyon

References

[1] S. Hao, A. T.H. Kuah, C. D. Rudd, K.H. Wong, N. Y. G. Lai, J. Mao, X. Liu, "A circular economy approach to green energy: Wind turbine, waste, and material recovery," Science of The Total Environment, vol. 702, pp.135054, 2020, doi.org/10.1016/j.scitotenv.2019.135054.
[2] S. Karavida and R. Nõmmik. “Waste Management of End-of-Service Wind Turbines,” M.S. thesis, Department of Development and Planning, Aalborg University, Aalborg, Denmark, 2015.
[3]W. Post. (2013, May 11). Energy from wind turbines actually less than estimated? The Energy Collective. [Online]. Available: http://www.theenergycollective.com/willem-post/169521/wind-turbine-energy-capacity-less-estimated.
[4]K. R. Haapala and P. Prempreeda, "Comparative life cycle assessment of 2.0 MW wind turbines," International Journal of Sustainable Manufacturing, vol.3, no. 2, pp. 170-185, 2014.
[5]R. Geyer and T. Jackson, "Supply loops and their constraints: The industrial ecology of recycling and reuse," California Management Review, vol. 46, no. 2, pp. 55-73, 2004.
[6]H. R. Krikke, A van Harten, and P. C Schuur, "Business case Océ: Reverse logistics network re-design for copiers," OR Spektrum, vol.21, no 3, pp. 381-409, 1999.
[7]M. S. Amalnick and M. M. Saffar, "A new fuzzy mathematical model for green supply chain network design," International Journal of Industrial Engineering Computations, vol.8, no.1, pp.45–70, 2017.
[8]H.J. Zimmermann, "Fuzzy Set and Systems," Fuzzy programming and linear programming with several objective functions, vol. 1, pp. 45-55, 1978.
[9]M. Zarei, S. Mansour, A.H. Kashan, and B. Karimi, "Designing a Reverse Logistics Network for End-of-Life Vehicles Recovery End-of-Life Vehicles Recovery," Mathematical Problems in Engineering, vol. 2010, doi.org/10.1155/2010/649028.
[10]J. Hanafi, S. Kara, and H. Kaebernick, "Reverse logistics strategies for end‐of‐life products," International Journal of Logistics Management, vol. 3, no. 19, 2008.

[11]S Enes and N Öztürk, "Network modeling for reverse flows of end-of-life vehicles," Waste Management, 2015, doi.org/10.1016/J.WASMAN.2015.01.007
[12]R. Cruz-Rivera and J. Ertel, "Reverse logistics network design for the collection of End-of-Life Vehicles in Mexico," European Journal of Operational Research, vol. 196, no. 3, pp. 930-939, 2009.
[13]M.Y. Jaber, C.H. Glock, and A.M. El Saadany, "Supply chain coordination with emissions reduction incentives," International Journal of Production Research, vol. 51, no.1, pp. 69-82, 2013.
[14]A. Alshamsi and A. Diabat, "A Genetic Algorithm for Reverse Logistics Network Design: A Case Study from the GCC," Journal of Cleaner Production, vol.151, no. 10, 2017, doi.org/10.1016/j.jclepro.2017.02.096
[15]A. Sadrnia, N. Ismail, M. K. A. M. Ariffin, Z. Norzima, and O. Boyer, "Reverse Logistics Network Optimizing by Genetic Algorithm: A Case Study of Automotive Wiring Harnesses," Applied Mechanics and Materials, vol.564, pp. 740–746, 2014, doi: 10.4028/www.scientific.net/AMM.564.740.
[16]G. T. Temur, M. Balcilar, and B. Bolat, "A fuzzy expert system design for forecasting return quantity in reverse logistics network," Journal of Enterprise Information Management, vol. 27, no. 3, pp. 316-328, 2013, doi: 10.1108/JEIM-12-2013-0089.
[17]E. U. Olugu and K. Y. Wong, "Fuzzy logic evaluation of reverse logistics performance in the automotive industry," Scientific Research and Essays, vol. 6, no 7, pp.1639-1649, 2011.
[18]D. Tadic, "A Fuzzy Bi-Linear Management Model in Reverse Logistic Chain," Yugoslav Journal of Operations Research, vol. 26, no.1, pp. 61-74, 2016.
[19]K. Govindana, P. Paamb, and A.R. Abtahi, "A fuzzy multi-objective optimization model for sustainable reverse logistics network design," Ecological Indicators,vol.67, pp. 753-768, 2016, doi: 10.1016/j.ecolind.2016.03.017.
[20]A. Ergülen, H. Kazan, and F. S. Özdemir, "The Recycling Potential Of Packing Waste In Turkey: Analised By Linear Programing And Fuzzy Logic Method," Journal of Eurasian Econometrics, Statistics & Emprical Economics, vol. 1, pp.91-102, 2016.
[21]M. A. Ilgin, "An integrated methodology for the used product selection problem faced by third-party reverse logistics providers," International Journal of Sustainable Engineering, vol. 10, no. 6, pp. 399-410, 2017, doi:10.1080/19397038.2017.1317873.
[22]T. S. Su, "A fuzzy multi-objective linear programming model for solving remanufacturing planning problems with multiple products and joint components," Computers & Industrial Engineering, vol. 110, pp. 242-254, 2017.
[23]S. Y. Jeng and C. W. Lin, "Fuzzy cradle to cradle remanufacturing planning for a recycled toner cartridge industry," International Journal of Industrial and Systems Engineering, vol. 25, no. 4, 2017.
[24]R. K. Mavi, M. Goh, and N. Zarbakhshnia, "Sustainable third-party reverse logistic provider selection with fuzzy SWARA and fuzzy MOORA in plastic industry," International Journal of Advance Manufuring Technolgy, vol. 91, pp.2401–2418, 2017.
[25]K. Govindan, V. Agarwal, and J.D. Darbari, "An integrated decision making model for the selection of sustainable forward and reverse logistic providers," Ann Operetion Research, vol. 273, pp. 607–650, 2019.
[26]L. T. T. Doan, Y. Amer, S. H. Lee, P. N.K. Phuc, and l. Q. Dat, "A comprehensive reverse supply chain model using an interactive fuzzy approach – A case study on the Vietnamese electronics industry," Applied Mathematical Modelling, vol. 76, pp. 87-108, 2019.
[27]S. Lu, L. Zhu, Y. Wang , L. Xied, and H. Su, "Integrated forward and reverse logistics network design for a hybrid assembly-recycling system under uncertain return and waste flows: A fuzzy multi-objective programming," Journal of Cleaner Production, vol. 243, pp. 118591, 2020.
[28]N. Zarbakhshnia, Y. Wu, K. Govindan, and H. Soleiman, "A novel hybrid multiple attribute decision-making approach for outsourcing sustainable reverse logistics," Journal of Cleaner Production,vol.242, pp.118461, 2020.
[29]S. Cinar, "Sustainable reverse logistic network design for end-of- life use-Case Study," RAIRO-Operation Research, 2019, doi:10.1051/ro/2019069.
[30]S. Cinar and M.B. Yildirim, "Reverse Logistic Network Design for End-of-Life Wind Turbines," in Optimization and Dynamics with Their Applications. Singapore: Springer, 2017, doi:10.1007/978-981-10-4214-0_11.
[31]R. N Tiwari, S Dharmar, and J. R Rao, "Fuzzy goal programming: An additive model," Fuzzy Set Systems, vol. 24, pp. 27-34, 1987.
[32]Vestas. (2021, November 2). Life cycle assessment of electricity produced from onshore sited wind power plants based on Vestas V82-1.65 MW turbines. [Online]. Available: https://www.vestas.com/en/products/2-mw-platform/V120-2-2-MW
[33]The Potential of Recycled Plastics. (2021, November 4. The Potential of Recycled Plastics, [Online]. Available: https://thisisplastics.com/environment/the-potential-of-recycled-plastics/
[34]P.D Anderson, A. Bonou, J. Beauson, P. Brøndsted. (2021, November 3). Recycling of Wind turbines [Online].Available:https://backend.orbit.dtu.dk/ws/portalfiles/portal/102458629/DTU_INTL_ENERGY_REP_2014_WIND_91_97.pdf
[35]Remanufacturing. (2021, November 3). Remanufacturing. [Online]. Available: http://renewenergy.com /remanufacturing/

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Suna Çınar ^*
0000-0003-4489-6876
Türkiye

Publication Date

April 30, 2022

Submission Date

August 31, 2021

Acceptance Date

November 8, 2021

Published in Issue

Year 2022 Volume: 10 Number: 2

DOI

https://doi.org/10.29130/dubited.988963

IZ

https://izlik.org/JA54PB38LC

APA

Çınar, S. (2022). A Fuzzy Multi-Objective Mixed Integer Linear Programming Model for End of Life Use. Duzce University Journal of Science and Technology, 10(2), 872-892. https://doi.org/10.29130/dubited.988963

AMA

1.Çınar S. A Fuzzy Multi-Objective Mixed Integer Linear Programming Model for End of Life Use. DUBİTED. 2022;10(2):872-892. doi:10.29130/dubited.988963

Chicago

Çınar, Suna. 2022. “A Fuzzy Multi-Objective Mixed Integer Linear Programming Model for End of Life Use”. Duzce University Journal of Science and Technology 10 (2): 872-92. https://doi.org/10.29130/dubited.988963.

EndNote

Çınar S (April 1, 2022) A Fuzzy Multi-Objective Mixed Integer Linear Programming Model for End of Life Use. Duzce University Journal of Science and Technology 10 2 872–892.

IEEE

[1]S. Çınar, “A Fuzzy Multi-Objective Mixed Integer Linear Programming Model for End of Life Use”, DUBİTED, vol. 10, no. 2, pp. 872–892, Apr. 2022, doi: 10.29130/dubited.988963.

ISNAD

Çınar, Suna. “A Fuzzy Multi-Objective Mixed Integer Linear Programming Model for End of Life Use”. Duzce University Journal of Science and Technology 10/2 (April 1, 2022): 872-892. https://doi.org/10.29130/dubited.988963.

JAMA

1.Çınar S. A Fuzzy Multi-Objective Mixed Integer Linear Programming Model for End of Life Use. DUBİTED. 2022;10:872–892.

MLA

Çınar, Suna. “A Fuzzy Multi-Objective Mixed Integer Linear Programming Model for End of Life Use”. Duzce University Journal of Science and Technology, vol. 10, no. 2, Apr. 2022, pp. 872-9, doi:10.29130/dubited.988963.

Vancouver

1.Suna Çınar. A Fuzzy Multi-Objective Mixed Integer Linear Programming Model for End of Life Use. DUBİTED. 2022 Apr. 1;10(2):872-9. doi:10.29130/dubited.988963

Cited By

Designing a green forward and reverse logistics network with an IoT approach considering backup suppliers and special disposal for epidemics management

Results in Engineering

https://doi.org/10.1016/j.rineng.2025.104770