Multi objective optimization approach for multi-item inventory control: A case study in leather industry

Laila Nafisah, Gigih Jono Prasetyo, Eko Nursubiyantoro, Mochammad Chaeron, Apriani Soepardi, Sri Suharsih

Abstract


PT ASA is a leather tanning company. Almost 65% of the company's assets are allocated for the procurement of raw leather, which consists of goat and sheepskin. In addition to being expensive, the availability of raw leather is also very limited. The company faces a trade-off where, on one hand, the raw material is easily decayed, but on the other hand, its availability is extremely limited, and if there is not enough inventory, the production process will be disrupted. In this research, a multi-objective optimization model is developed for controlling the inventory of raw leather using the Fuzzy Goal Programming approach. The objectives to be achieved are to minimize the total inventory cost, maximize the total quantity of raw leather that meets standards, and minimize the total cost of losses due to decayed raw leather. Based on the calculations, the fuzzy goal programming membership function value is obtained at 0.9155, with a total inventory cost over the planning horizon of IDR 10,341,630,000, a total of 1,279,542 sq ft of raw leather meeting standards, and a total loss cost due to decayed raw leather of IDR 142,911,691.


Keywords


multi-objective optimization; fuzzy goal programming; inventory; decay; leather

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References


A. Raj, A. A. Mukherjee, A. B. L. de Sousa Jabbour and S. K. Srivastava, "Supply chain management during and post-COVID-19 pandemic: Mitigation strategies and practical lessons learned," Journal of Business Research, vol. 142, pp. 1125-1139, 2022.

A. Rushton, P. Croucher and P. Baker, The Handbook and Distribution Management, Sixth Edition ed., United States: Great Britain and the United States in 1989 by Kogan Page Limited, 2017.

N. Arbaiy and J. Watada, "Building Fuzzy Goal Programming with Fuzzy Random Linear Programming for Multi-level Multi-Objective Problem," International Journal on New Computer Architectures and Their Applications (IJNCAA), vol. 1, no. 4, pp. 911-925, 2011.

M. Çunkaş, "Design optimization of electric motors by multiobjective fuzzy genetic algorithms," Mathematical and Computational Applications, vol. 13, no. 3, pp. 153-163, 2008.

S. B. Sinha, K. A. Rao and B. K. Mangaraj, "Fuzzy goal programming in multi-criteria decision systems: A case study in agricultural planning," Socio-Economic Planning Sciences, vol. 22, no. 2, pp. 93-101, 1988.

A. D. A. Lotfi, B. Kaddour and K. Abdessamad, "Fuzzy Goal Programming to Optimization the Multi-Objective Problem," Science Journal of Applied Mathematics and Statistics, vol. 2, no. 1, pp. 14-19, 2014.

A.Arab, "A systematic review of multi-objective optimization applications in reverse logistics," Journal of Supply Chain Management Science, vol. 3, no. 1-2, pp. 37-64, 2022.

S. Sen and B. B. Pal, "Interval Goal Programming Approach to Multiobjective Fuzzy Goal Programming Problem with Interval Weights," Procedia Technology, vol. 10, pp. 587-595, 2013.

S. M. Muneeb, Z. Asim, M. Hajiaghaei-Keshteli and H. Abbas, "A multi-objective integrated supplier selection-production-distribution model for re-furbished products: Towards a circular economy," Renewable and Sustainable Energy Reviews, vol. 175, pp. 1-15, 2023.

N. Hashmi, S. A. Jalil and S. Javaid, "Carbon footprint based multi-objective supplier selection problem with uncertain parameters and fuzzy linguistic preferences," Sustainable Operations and Computers, vol. 2, pp. 20-29, 2021.

K. Deb, "Multi-objective genetic algorithms: problem difficulties and construction of test problems.," Evolutionary computation, vol. 7, no. 3, pp. 205-230, 1999.

P. Anukokila and B. Radhakrishnan, "Goal programming approach to fully fuzzy fractional transportation problem," Journal of Taibah University for Science, vol. 13, no. 1, pp. 864-874, 2019.

A. Amini, A. Alinezhad and B. N. Heydarlou, "A model for solving fuzzy multiple objective problems using satisfying optimization method," in 6th international conference on new challenges in management and business held ., Dubai-UAE, 2018.

J. C. Figueroa–García, G. Hernández and C. Franco, "A review on history, trends and perspectives of fuzzy linear programming," Operations Research Perspectives, vol. 9, pp. 1-14, 2022.

S. Turgay and H. Taşkin, "Fuzzy goal programming for health-care organization," Computers and Industrial Engineering, vol. 86, pp. 14-21, 2015.

S. S. Rao, K. Sundararaju, B. G. Prakash and C. Balakrishna, "Fuzzy goal programming approach for structural optimization," AIAA Journal, vol. 30, no. 5, pp. 1425-1432, 1992.

S. B. Sinha, K. A. Rao and B. K. Mangaraj, "Fuzzy goal programming in multi-criteria decision systems: A case study in agricultural planning," Socio-Economic Planning Sciences, vol. 22, no. 2, pp. 93-101, 1988.

M. Kumar, P. Vrat and R. Shankar, "A fuzzy goal programming approach for vendor selection problem in a supply chain," Computers & Industrial Engineering, vol. 46, no. 1, pp. 69-85, 2004.

N. Karimi, M. R. Feylizadeh, K. Govindan and M. Bagherpour, "Fuzzy multi-objective programming: A systematic literature review," Expert Systems with Applications, vol. 196, pp. 1-19, 2022.

Zadeh, "Fuzzy Sets," Information and Control, vol. 8, pp. 338-353, 1965.

E. Bellman and L. A. Zadeh, "A fuzzy environment," in Management Science, Washington, Electronics Research Laboratory University of California, Berkeley, California, 1970, pp. B141-B164.

M. Belmokadeem, M. Mekidiche and A. Sahed, "Application of a Fuzzy Goal Programming Approach With Different Importance and Priorities To," Journal of Applied Quantitative Methods, vol. 4, no. 3, pp. 317-331, 2009.

F. Tampinongkol, A. Rindengan and L. Latumakulita, "Aplikasi Fuzzy Goal Programming (Studi Kasus: UD. Sinar Sakti Manado)," d'CARTESIAN, vol. 4, no. 2, pp. 129-137, 2015.

S. Komsiyah, Meiliana and H. E. Centika, "A Fuzzy Goal Programming Model for Production Planning in Furniture Company," Procedia Computer Science, vol. 135, pp. 544-552, 2018.

H. Mogouie, A. Farshbaf-Geranmayeh, A. Amiri and M. Bashiri, "A Fuzzy Goal Programming Approach for Optimizing Non-normal Fuzzy Multiple Response Problems," International Journal of Supply and Operations Management, vol. 3, no. 2, pp. 1332-1350, 2016.

D. N. Prayogo, "Model Optimasi Multi Objective Untuk Perencanaan Persediaan Multi Produk Dari Multi Supplier Dengan Memperhatikan Due Date," in Seminar Nasional Teknologi Industri 2012 Universitas Trisakti, Jakarta, 2012.

M. C. Yu, M. Goh and H. C. Lin, "Fuzzy multi-objective vendor selection under lean procurement," European Journal of Operational Research, vol. 219, no. 2, pp. 305-311, 2012.




DOI: https://doi.org/10.31315/opsi.v17i1.11106

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