Volume 21 , Issue 2 , PP: 177-195, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Renee Miriam M. 1 * , Nivetha Martin 2 , Aleeswari A. 3 , Said Broumi 4
Doi: https://doi.org/10.54216/IJNS.210215
In general, companies are investing a lot of energy and time in conserving the quality of the products. The customers use the attribute of quality as the measuring index of the efficiency of these companies. Quality sustenance is not a phase, but it is a process which must be carried out till the product reaches the end consumer. This is possible by expanding the mechanisms of quality conservation to the spheres of product distribution in addition to product production. In view of it, this research work develops an inventory model with the idea of rework warehouse for the first time. The model formulated in this paper is discussed in a crisp sense and later extended to neutrosophic environments with the intention of making it more accommodative to various business constraints. The numerical example presented in this paper substantiates the proposed model with the application of Particle Swarm optimization. Sensitivity analysis is made with modifications with the changes of crisp and neutrosophic parameters. The model introduced in this work supports decision makers in deriving optimal solutions to the inventory problem associated with quality constraints and this work shall also be extended with the inclusion of other cost parameters, assumptions and constraints associated with product distribution.
, Rework warehouse , Neutrosophic , Inventory model , Quality
[1] Gautam, P., Maheshwari, S., Hasan, A., Kausar, A., and Jaggi, C. K., “Optimal inventory strategies for an imperfect production system with advertisement and price reliant demand under rework option for defectives”, RAIRO-Operations Research, Vol. 56(1), pp. 183-197, 2022.
[2] Kumar, B. A., Paikray, S. K., Mishra, S., & Routray, S. (2020). A fuzzy inventory model of defective items under the effect of inflation with trade credit financing. In Recent Advances in Intelligent Information Systems and Applied Mathematics (pp. 804-821). Springer International Publishing.
[3] Sarkar, B., Joo, J., Kim, Y., Park, H., and Sarkar, M., “Controlling defective items in a complex multi-phase manufacturing system”, RAIRO--Operations Research, Vol. 56(2), 2022.
[4] Lok, Y. W., Supadi, S. S., & Wong, K. B., “EOQ Models for Imperfect Items under Time Varying Demand Rate”, Processes, Vol. 10, p. 1220, 2022.
[5] Yang, C. T., Huang, C. H., and Ouyang, L. Y., “Optimal production and ordering strategies with defective items and allowable shortage under two-part trade credit”, Scientia Iranica, Vol. 26(1), pp. 503-521, 2019.
[6] Khan, M. A. A., Shaikh, A. A., Panda, G. C., and Konstantaras, I., “Two-warehouse inventory model for deteriorating items with partial backlogging and advance payment scheme”, RAIRO-operations Research, Vol. 53(5), pp. 1691-1708, 2019.
[7] Bhunia, A. K., Jaggi, C. K., Sharma, A., and Sharma, R., “A two-warehouse inventory model for deteriorating items under permissible delay in payment with partial backlogging”, Applied Mathematics and Computation, Vol. 232, pp. 1125-1137, 2014.
[8] Fatima, Z., Tanveer, M. H., Zardari, S., Naz, L. F., Khadim, H., Ahmed, N., and Tahir, M., “Production plant and warehouse automation with IoT and industry 5.0”, Applied Sciences, Vol. 12(4), p. 2053, 2022.
[9] Chakraborty, D., Jana, D. K., and Roy, T. K., “Multi-warehouse partial backlogging inventory system with inflation for non-instantaneous deteriorating multi-item under imprecise environment”, Soft Computing, Vol. 24, pp. 14471-14490, 2020.
[10] Mashud, A. H. M., Pervin, M., Mishra, U., Daryanto, Y., Tseng, M. L., and M. K. Lim, “A sustainable inventory model with controllable carbon emissions in green-warehouse farms”, Journal of Cleaner Production, Vol. 298, 126777, 2021.
[11] Malik, A. K., and Garg, H, “An improved fuzzy inventory model under two warehouses”, Journal of Artificial Intelligence and Systems, Vol. 3(1), pp. 115-129, 2021.
[12] Bhunia, A. K., Jaggi, C. K., Sharma, A., and Sharma, R., “A two-warehouse inventory model for deteriorating items under permissible delay in payment with partial backlogging”, Applied Mathematics and Computation, Vol. 232, pp. 1125-1137, 2014.
[13] Hartley, R.V., “Operation Research — A Managerial Emphasis”, Good Year Pub. Comp, California pp. 315–317, 1976.
[14] Maleki Vishkaei, B., Niaki, S. T. A., Farhangi, M., and Mahdavi, I., “A single-retailer multi-supplier multi-product inventory model with destructive testing acceptance sampling and inflation”, Journal of Industrial and Production Engineering, Vol. 36(6), pp. 351-361, 2019.
[15] Cheikhrouhou, N., Sarkar, B., Ganguly, B., Malik, A. I., Batista, R., and Lee, Y. H., “Optimization of sample size and order size in an inventory model with quality inspection and return of defective items”, Annals of Operations Research, Vol. 271, pp. 445-467, 2018.
[16] Singh, R. K., Acharya, P., and Taneja, D., “Impact of reverse logistics on apparel industry”, International Journal of Services and Operations Management, Vol. 25(1), pp. 80-98, 2016.
[17] Malik, A. K., and Garg, H., “An improved fuzzy inventory model under two warehouses. Journal of Artificial Intelligence and Systems”, Vol. 3(1), pp. 115-129, 2021.
[18] Tahami, H., Fakhravar, H., “A fuzzy inventory model considering imperfect quality items with receiving reparative batch and order”, European Journal of Engineering and Technology Research, Vol. 5(10), pp. 1179-1185, 2020.
[19] Dinagar, D. S., and Manvizhi, M., “Single-Stage Fuzzy Economic Inventory Models with Backorders and Rework Process for Imperfect Items”, JOURNAL OF ALGEBRAIC STATISTICS, Vol. 13(3), pp. 3008-3020, 2022.
[20] Garg, H., Sugapriya, C., Kuppulakshmi, V., and Nagarajan, D., “Optimization of fuzzy inventory lot-size with scrap and defective items under inspection policy”, Soft Computing, pp. 1-20. 2023.
[21] Smarandache, F., “Neutrosophic set-a generalization of the intuitionistic fuzzy set”, International journal of pure and applied mathematics, Vol. 24(3), pp. 287-297, 2005.
[22] Mullai, M., and Surya, R., “Neutrosophic inventory backorder problem using triangular neutrosophic numbers”, Neutrosophic Sets and Systems, Vol. 31, pp. 148-155, 2020.
[23] Surya, R., and Mullai, M., “Neutrosophic multi-item inventory control models with constraints”, Journal of Intelligent & Fuzzy Systems, (Preprint), 1-10. 2022.
[24] Martin, N., Mayan, M. K., and Smarandache, F., “Neutrosophic Optimization of Industry 4.0 Production Inventory Model”, Infinite Study, Vol. 38, 2020.
[25] MOHANTA, K., Sarkar, S., Dey, A., De, D., and Pal, A. “Cost Optimization of an Inventory Control Problem in Neutrosophic Environment for Smart Manufacturing”, 2023.
[26] Mullai, M., Sangeetha, K., Surya, R., Kumar, G. M., Jeyabalan, R., and Broumi, S., “A single valued neutrosophic inventory model with neutrosophic random variable”, Infinite Study, 2020. [27] Othman, S., “A Single Valued neutrosophic Inventory Model with Neutrosophic Random Variable”, International Journal of Neutrosophic Science (IJNS), Vol. 1(2), pp. 52-63, 2020.
[28] Garg, H., Rajeswari, S., Sugapriya, C., and Nagarajan, D., “A model for container inventory with a trapezoidal bipolar neutrosophic number”, Arabian Journal for Science and Engineering, pp. 1-21, 2022.
[29] Sugapriya, C., Rajeswari, S., Nagarajan, D., Zararsız, Z., and Al Amri, Z. S. M., “An effective container inventory model under bipolar neutrosophic environment”, Neutrosophic Sets and Systems, An International Journal in Information Science and Engineering, Vol. 50, p.336, 2022.
[30] Rajeswari, S., Sugapriya, C., Nagarajan, D., Broumi, S., and Smarandache, F., “Octagonal fuzzy neutrosophic number and its application to reusable container inventory model with container shrinkage”, Computational and Applied Mathematics, Vol. 40, pp. 1-20, 2021.
[31] Sarkar, D., and Srivastava, P. K., “A dynamic optimization approach for multi-item multi-objective fixed-place neutrosophic fuzzy inventory and green management system”, Mathematics in Engineering, Science & Aerospace (MESA), Vol. 13(2), 2022.
[32] Jayanthi, K., “A Fuzzy Differential Approach to An Overage Management with Customer Acquisition Inventory Problem Via Neutrosophic Fuzzy Geometric Programming Technique”, JOURNAL OF ALGEBRAIC STATISTICS, Vol. 13(3), pp. 215-225, 2022.
[33] Das, K., & Islam, S., “A multi-objective Shortage Follow Inventory (SFI) Model Involving Ramp-Type Demand, Time Varying Holding Cost and a Marketing Cost Under Neutrosophic Programming Approach”, Neutrosophic Sets and Systems, Vol. 49, 48-69. 2022.
[34] Supakar, P., Manna, A. K., Mahato, S. K., and Bhunia, A. K., “Application of artificial bee colony algorithm on a green production inventory problem with preservation for deteriorating items in neutrosophic fuzzy environment”, International Journal of System Assurance Engineering and Management, pp. 1-15, 2022.
[35] Bhavani, G. D., Georgise, F. B., Mahapatra, G. S., Maneckshaw, B., “Neutrosophic cost pattern of inventory system with novel demand incorporating deterioration and discount on defective items using particle swarm algorithm”, Computational Intelligence and Neuroscience, Vol. 2022, 2022.
