Application of fuzzy approach to inventory control (Economics Order Quantity)
Subject Areas : Statistics
1 - Department of industrial management, college of management and accounting, Qazvin branch, Islamic Azad University, Qazvin, Iran
Keywords: مدل های کنترل موجودی, هزینه سفارش, هزینه نگهداری, میزان اقتصادی سفارش, فازی,
Abstract :
Although all managers seek to maximize the utility, most firms do not recognize the importance of inventory control and the use of warehouse inventory control systems as a management tool. On the other hand, in classical inventory control models, the parameters have to be determined, while in real world problems the parameters are mostly uncertain. Therefore, the models partially ignore the facts and as a result managers are reluctant to apply this kind of models. So, the present study seeks to answer the question of whether fuzzy inventory control models can overcome this defect, introduce parameters into the model more realistically and thus reduce total inventory cost and improve performance. In this paper, a model of fuzzy Economics Order Quantity (EOQ) was presented and evaluated with a numerical example. The findings confirmed the positive response to the above questions.Key words: Inventory Control Models, Economics Order Quantity, warehousing cost, ordering cost, fuzzy
[1] Konstantaras, I., Skouri, K. & Lagodimos, A. G. (2018). EOQ with independent endogenous supply disruptions. Omega. 83, 96-106.
[2] Chan, W.M., R.N. Ibrahim. (2003), "An EPQ model: Integrating lower pricing, rework and reject situations", production planning of control, Vol 14, No 97, 588-595.
[3] شیرمحمدی، علی. 1382. اصول برنامهریزی و کنترل تولید و موجودیها. انتشارات ارکان دانش: تهران.
[4] Cattani K. D., Jacobs F. R. & Schoenfelder, J. (2011) Common inventory modeling assumptions that fall short:arborescent networks, Poisson demand, and single- echelon approximations. Journal of Operations Management. 29(5): 488–99.
[5] صوفی، پرهام و امیری، مقصود (1392)، " ارایه یک مدل جدید چندهدفه فازی برای انتخاب تامینکنندگان در زنجیره تامین"، مدیریت توسعه و تحول، دوره 5، شماره 15، 59 – 49.
[6] رمضانزاده، سعید و فصیحی، بهمن (1397)، "توسعه مدل کنترل موجودی فازی با محدودیتهای احتمالی و امکانی"، مدیریت منابع در نیروی انتظامی، سال6، شماره 1، 138–121.
[7] Rossi, T., Pozzi, R. & Testa, M. (2017). EOQ-based inventory management in single- machine multi-item systems. Omega. 71, 106-113.
[8] Abo el ata, M.O. and K.A.M kot. (1997), "Multi item EOQ inventory model whit varing holding cost under two restrictions: A geometric programming approach", production planning and control, vol 8, No 4, 608-611.
[9] متقی هایده. 1383. مدیریت تولید و عملیات. انتشارات کیومرث: تهران.
[10] Sarfaraz, A.H., Alizadeh Noghani, S., Sadjadi, S.J. & Aryanezhad, M.B. (2006). A multi-objective inventory model for deteriorating items with backorder and cost dependent demand. Journal of International Engineering. 2(5),65-73.
[11] نایبی، محمدامین، حمیدی، ناصر، پناهینیا، عباس و سعیدی، حسام (1391)، "کاربرد برنامهریزی چندهدفه فازی در توسعه یک مدل کنترل موجودی"، فراسوی مدیریت، سال 6، شماره 21، 66 – 47.
[12] Zadeh, A.L. (1965), "Fuzzy sets", information and control, NO 38, 335-338.
[13] Georg, J., B.Yuan,(2001), "Fuzzy sets and fuzzy logic theory and applications". Prentic Hall of India.
[14] Yauhua, F. Ch. (2015). Fractional programming approach to two stochastic inventory problems. European journal of operation research. 160 (1), 63 – 71.
[15] Chang H.C. (2003). An investigation of fuzzy lost sales on the periodic review inventory model with variable lead time. Journal of Information & Optimization Sciences. 24 (2): 269-282.
[16] Chan, W.M., R.N. Ibrahim. (2003), "An EPQ model: Integrating lower pricing, rework and reject situations", production planning of control, Vol 14, No 97, 588-595.
[17] Yadvalle, V.S.S. (2005), "Multi item deterministic fuzzy inventory model", operation research, Vol 22, No 3, 287-295.
[18] Kumar, S. and A.G. Wami. (2006), "An EOQ model whit fuzzy inflation rate and fuzzy deterioration rate when: a delay in poment is permissible", System science, vol 31, No 5, 323-335.
[19] معماریانی، عزیزالله و پروین روحانی، محمد علی؛ مدل برنامه ریزی حمل و نقل مرکب با پارامترهای فازی؛ دانش مدیریت، شماره 49 ، تابستان 1389.
[20] Crdenas-Barrn, L. E., Shaikh, A. A. and Tiwari, S. (2018), "An EOQ inventory model with nonlinear stock dependent holding cost, nonlinear stock dependent demand and trade credit", Computers and Industrial Engineering, Article in press, https://doi.org/ 10.1016/ j.cie.2018.12.004
[21] Kahraman, C., Cebeci, U. and Ruan, D. (2004), "Multi-attribute comparison of catering service companies using fuzzy AHP: The case of Turkey", Production Economics, Article in press, 87, 171 – 184.
[22] Andriolo, A., Battini, D., Grubbström, R. W., Persona, A. and Sgarbossa, F. (2014). “A century of evolution from Harris’s basic lot size model: Survey and research agenda”, International Journal of Production Economics. 155, 16–38.
[23] Ahmed, I. and Sultana, I. (2014) “A literature review on inventory modeling with reliability consideration”, International Journal of Industrial Engineering Computations. 5, 169-178.
[24] Pereira, V. and Costa, H.G. (2015) “A literature review on lot size with quantity discounts: 1995-2013”, Journal of Modelling in Management. 10, 341-359.
[25] Bushuev, M. A., Guiffrida, A., Jaber, M. Y. and Khan, M. (2015). “A review of inventory lot sizing review papers”, Management Research Review. 38 (3), 283-298.
[26] Taleizadeh, A. A., Pentico, D. W., Jabalameli, M. S. and Aryanezhad, M. (2013) “An economic order quantity model with multiple partial prepayments and partial backordering”, Mathematical and Computer Modelling. 57, 311–323.
[27] Krommyda, I. P., Skouri, K. and Lagodimos, A. G. (2019) “A uniÞed EOQ model with Þnancial constraints and market tolerance” An economic order quantity model with multiple partial prepayments and partial backordering”, Applied Mathematical Modelling. 65, 89–105.
[28] Eynan, A. and Kropp, D.H (2006)."Effective and simple EOQ-like solutions for stochastic demand periodic review systems". European Journal of Operation Research. 180 (3), 1135-1143
[29] Nielsen,Christina & Larsen,Christian (2004)."An analytical study of Q (s,S) policy applied to the joint replenishment problem".European Journal of Operation Research. 163, 721-732.
[30] Ouyang,Liang-yuh & Wu,Kun - Shan & Ho.Chia-Huei (2003). "Integrated vendor-buyer cooperative models with stochastic demand in controllable lead time". Int. J. Production Economics. 92, 255-266.
[31] Wu,Kun-Shan (2001)."A mixed inventory model with variable lead time and random supplier capacity". Production planning & control. 12(4), 353-361.
[32] Khanra, S., Mandal, B., & Sarkar, B. (2013). An inventory model with time dependent demand and shortages under trade credit policy. Economic Modelling, 35, 349–355.
[33] Avinadav, T., Herbon, A., & Spiegel, U. (2013). Optimal inventory policy for a perishable item with demand function sensitive to price and time. International Journal of Production Economics, 144(2), 497–506.
[34] Alfares, H. K., & Ghaithan, A. M. (2016). Inventory and pricing model with price-dependent demand, time-varying holding cost, and quantity discounts. Computers and Industrial Engineering, 94, 170–177.
[35] Mishra, U., Cardenas-Barron, L. E., Tiwari, S., Shaikh, A. A. and Trevino-Garza, G. (2017). “An inventory model under price and stock dependent demand for controllable deterioration rate with shortages and preservation technology investment”. Annals of Operations Research, 254(1–2), 165–190.