Fuzzy Non-Linear Programming for Fuzzy Inventory Model with Storage Space and Budget Constraint

Fuzzy Non-Linear Programming for Fuzzy Inventory Model with Storage Space and Budget Constraint

Authors

  • Norpah Mahat College of Computing, Informatics and Mathematics, Universiti Teknologi MARA Perlis Branch, Arau Campus, 02600 Arau, Perlis, Malaysia
  • Siti Fatimah Amalina Abdul Razak College of Computing, Informatics and Mathematics, Universiti Teknologi MARA Perlis Branch, Arau Campus, 02600 Arau, Perlis, Malaysia

DOI:

https://doi.org/10.24191/jcrinn.v9i2.478

Keywords:

fuzzy non-linear programmming, fuzzy inventory, space and budget, non linear programming

Abstract

With an emphasis on improving inventory control for a convenience shop in Malaysia, this study explores the use of a fuzzy inventory model in the context of retail management. Data from Mohd Noor Mart, an actual retail location at UiTM Perlis, is gathered for the study to evaluate the effectiveness of the concept. This study uses fuzzy non-linear programming, which was carefully considered, to address the fuzzy inventory model with storage space and budget constraints. The goals include evaluating the fuzzy method's performance in this situation, figuring out how best to divide the available funds and space among the different products, and figuring out which space is best for the product that is in the greatest demand. The study's scope focuses on a fuzzy inventory model that specifically addresses storage space and budget constraints, which are critical factors in avoiding issues such as overstocking, understocking, and financial strain. The study is significant for businesses looking to improve their inventory management by implementing a fuzzy inventory model. The study's findings indicate that the proposed inventory model and solution method are effective tools for retail managers facing real-world challenges. The methodology used is fuzzy non-linear programming using MATLAB R2023a. The results show that the optimal order quantity is 10,000 units, with a corresponding demand (d*) of 14.142136 and an optimal alpha value of 1. These findings demonstrate the effectiveness of the proposed approach in optimizing inventory management, especially in the face of uncertainty. Ultimately, this study provides valuable insights and a practical solution for businesses looking to improve their inventory management processes, highlighting the applicability and effectiveness of fuzzy non-linear programming in addressing the complexities of inventory models with storage space and budget constraints.

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References

Chaudhary, R., Mittal, M., & Jayaswal, M. K. (2023). A sustainable inventory model for defective items under fuzzy environment. Decision Analytics Journal, 7. https://doi.org/10.1016/j.dajour.2023.100207

Chen, S. H., & Hsieh, C. H. (1999). Optimization of fuzzy simple inventory models. In IEEE International Conference on Fuzzy Systems (pp. 240-244). IEEE Xplore. https://doi.org/10.1109/fuzzy.1999.793242

Franco, C., & Alfonso-Lizarazo, E. (2020). Optimization under uncertainty of the pharmaceutical supply chain in hospitals. Computers and Chemical Engineering, 135, 106889. https://doi.org/10.1016/j.compchemeng.2019.106689

Kasthuri, R., Vasanthi, P., Ranganayaki, S., & Seshaiah, C. V. (2011). Multi-item Fuzzy inventory model involving three constraints: A Karush-Kuhn-Tucker conditions approach. American Journal of Operations Research, 01(03), 155–159. https://doi.org/10.4236/ajor.2011.13017

Kelle, P., Woosley, J., & Schneider, H. (2012). Pharmaceutical supply chain specifics and inventory solutions for a hospital case. Operations Research for Health Care, 1(2–3), 54–63. https://doi.org/10.1016/j.orhc.2012.07.001

Kuppulakshmi, V., Sugapriya, C., Kavikumar, J., & Nagarajan, D. (2023). Fuzzy inventory model for imperfect items with price discount and penalty maintenance cost. Mathematical Problems in Engineering, 2023. https://doi.org/10.1155/2023/1246257

Loganathan, C., & Lalitha, M. (2017). Solving fully fuzzy Nonlinear programming with inequality constraints. International Journal of Mechanical Engineering and Technology, 8(11), 354–362. https://iaeme.com/Home/issue/IJMET?Volume=8&Issue=11

Lu, T., & Liu, S. T. (2018). Fuzzy nonlinear programming approach to the evaluation of manufacturing processes. Engineering Applications of Artificial Intelligence, 72, 183–189. https://doi.org/10.1016/j.engappai.2018.04.003

Mahata, G. C., & Goswami, A. (2013a). Fuzzy inventory models for items with imperfect quality and shortage backordering under crisp and fuzzy decision variables. Computers and Industrial Engineering, 64(1), 190–199. https://doi.org/10.1016/j.cie.2012.09.003

Maiti, M. K. (2008). Fuzzy inventory model with two warehouses under possibility measure on fuzzy goal. European Journal of Operational Research, 188(3), 746–774. https://doi.org/10.1016/j.ejor.2007.04.046

Matos, A., Monteiro, C., Henrique, M., & Nascimento, R. (2022). The importance of fuzzy logic integrated to inventory management: Case study in a company x in the industrial district of manaus. https://doi.org/10.37118/ijdr.24918.06.2022

Pattnaik, M. (2015). Optimality test in fuzzy inventory model for restricted budget and space: Move forward to a non-linear programming approach. Yugoslav Journal of Operations Research, 25(3), 457–470. https://doi.org/10.2298/YJOR130517023P

Rahaman, M., Mondal, S. P., Alam, S., De, S. K., & Ahmadian, A. (2022). Study of a Fuzzy Production inventory model with deterioration under Marxian Principle. International Journal of Fuzzy Systems, 24(4), 2092–2106. https://doi.org/10.1007/s40815-021-01245-0

Render, B., & M. Stair, R. (2007). Quantitative analysis for Management (seventh).

Roy, T. K., & Maiti, M. (1997). A fuzzy EOQ model with demand-dependent unit cost under limited storage capacity. In European Journal of Operational Research (Vol. 99). https://doi.org/10.1016/S0377-2217(96)00163-4

Samadi, F., Mirzazadeh, A., & Pedram, M. M. (2013). Fuzzy pricing, marketing and service planning in a fuzzy inventory model: A geometric programming approach. Applied Mathematical Modelling, 37(10–11), 6683–6694. https://doi.org/10.1016/j.apm.2012.12.020

Shaikh, T. S., & Gite, S. P. (2022). Fuzzy inventory model with variable production and selling price dependent demand under inflation for deteriorating items. American Journal of Operations Research, 12(06), 233–249. https://doi.org/10.4236/ajor.2022.126013

Tang, J., Fung, R.Y., Wang, D., & Tu, Y. (1999). A Fuzzy approach to modelling production & inventory planning. In IFAC Proceedings Volumes, 32(2), 261-266.

Taheri, M., Sadegh Amalnick, M., Allah Taleizadeh, A., & Mardan, E. (2023). A fuzzy programming model for optimizing the inventory management problem considering financial issues: A case study of the dairy industry. Expert Systems with Applications, 221. https://doi.org/10.1016/j.eswa.2023.119766

Tsai, H. R., & Chen, T. (2013). A fuzzy nonlinear programming approach for optimizing the performance of a four-objective fluctuation smoothing rule in a wafer fabrication factory. Journal of Applied Mathematics, 2013. https://doi.org/10.1155/2013/720607

Vasanthi, P., Ranganayaki, S., & Kasthuri, R. (2022). Fuzzy inventory model without shortages using GMI approach. Journal of Physics: Conference Series, 2332(1). https://doi.org/10.1088/1742-6596/2332/1/012002

Wen, B., & Li, H. (2014). An approach to formulation of FNLP with complex piecewise linear membership functions. Chinese Journal of Chemical Engineering, 22(4), 411–417. https://doi.org/10.1016/S1004-9541(14)60039-2

Wu, C. W., & Liao, M. Y. (2014). Fuzzy nonlinear programming approach for evaluating and ranking process yields with imprecise data. Fuzzy Sets and Systems, 246, 142–155. https://doi.org/10.1016/j.fss.2013.10.014

Zhang, W., & Rajaram, K. (2017). Managing limited retail space for basic products: Space sharing vs. space dedication. European Journal of Operational Research, 263(3), 768–781. https://doi.org/10.1016/j.ejor.2017.0

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Published

2024-09-01

How to Cite

Mahat, N., & Abdul Razak, S. F. A. (2024). Fuzzy Non-Linear Programming for Fuzzy Inventory Model with Storage Space and Budget Constraint . Journal of Computing Research and Innovation, 9(2), 361–375. https://doi.org/10.24191/jcrinn.v9i2.478

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Section

General Computing
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