An EOQ Model for Two Warehouse System During Lock-Down Considering Linear Time Dependent Demand
Abstract
The COVID-19 epidemic had a significant impact on both India and the rest of the world. The manufacturing and selling processes have been delayed due to the Covid-19 epidemic’s quick spread. Many sectors are now searching for a suitable and efficient disruption recovery strategy to assist in their recovery. Thus, the goal of this essay is to create a workable model that takes the Covid-19 pandemic’s many elements into account. This study proposes an inventory model while taking into account an interruption in demand. In this model, the FIFO policy is used to analyze effect of degradation. It has been suggested that a two-parametric Weibull distribution would accurately reflect the actual issues brought on by degradation. A two-warehouse system’s total cost will be as low as possible during the lock-down period, according to the research. Additionally, sensitivity analysis was utilized to assess the behavior of the models.
Keywords:
Demand disruptions, Perishables items, EOQ model, Covid-19 lock-down, Deterioration, Linear demandReferences
- [1] Tavakkoli-Moghaddam, R., Ghahremani-Nahr, J., Samadi Parviznejad, P., Nozari, H., & Najafi, E. (2022). Application of internet of things in the food supply chain: a literature review. Journal of applied research on industrial engineering, 9(4), 475–492.
- [2] Basu, R. (2020). COVID control in India: A look back. Journal of comprehensive health, 8(2), 129–131.
- [3] Paul, S. K., & Chowdhury, P. (2021). A production recovery plan in manufacturing supply chains for a high-demand item during COVID-19. International journal of physical distribution & logistics management, 51(2), 104–125.
- [4] Hendricks, G. L., Weirich, K. L., Viswanathan, K., Li, J., Shriver, Z. H., …& Wang, J. P. (2013). Sialylneolacto-N-tetraose c (LSTc)-bearing liposomal decoys capture influenza a virus. Journal of biological chemistry, 288(12), 8061–8073.
- [5] Lodree Jr, E. J., & Uzochukwu, B. M. (2008). Production planning for a deteriorating item with stochastic demand and consumer choice. International journal of production economics, 116(2), 219–232.
- [6] Bhunia, A., & Shaikh, A. (2011). A deterministic model for deteriorating items with displayed inventory level dependent demand rate incorporating marketing decisions with transportation cost. International journal of industrial engineering computations, 2(3), 547–562.
- [7] Dye, C. Y., & Yang, C. T. (2016). Optimal dynamic pricing and preservation technology investment for deteriorating products with reference price effects. Omega, 62, 52–67.
- [8] De Keizer, M., Akkerman, R., Grunow, M., Bloemhof, J. M., Haijema, R., & Van Der Vorst, J. G. A. J. (2017). Logistics network design for perishable products with heterogeneous quality decay. European journal of operational research, 262(2), 535–549.
- [9] Tiwari, S., Cárdenas-Barrón, L. E., Goh, M., & Shaikh, A. A. (2018). Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chain. International journal of production economics, 200, 16–36.
- [10] Shaikh, A. A., Cárdenas-Barrón, L. E., & Tiwari, S. (2019). A two-warehouse inventory model for non-instantaneous deteriorating items with interval-valued inventory costs and stock-dependent demand under inflationary conditions. Neural computing and applications, 31, 1931–1948.
- [11] Yang, Y., Chi, H., Zhou, W., Fan, T., & Piramuthu, S. (2020). Deterioration control decision support for perishable inventory management. Decision support systems, 134, 113308.
- [12] Garg, G., Singh, S., & Singh, V. (2020). A two warehouse inventory model for perishable items with ramp type demand and partial backlogging. International journal of engineering research & technology (IJERT), 9(6). https://pdfs.semanticscholar.org/dc64/e146d7fe1647a44912a6226c6397ff086e04.pdf
- [13] Rana, R. S., Kumar, D., & Prasad, K. (2021). Two warehouse dispatching policies for perishable items with freshness efforts, inflationary conditions and partial backlogging. Operations management research, 1–18.
- [14] An EOQ model for two warehouse system during lock-down considering linear time dependent demand
- [15] Kumar, N., Dahiya, S., & Kumar, S. (2022). Two warehouse inventory model for deteriorating items with fixed shelf-life stock-dependent demand and partial backlogging. Journal of mathematical and computational science, 12, Article--ID. http://scik.org/index.php/jmcs/article/download/7142/3384
- [16] Das, D., Samanta, G. C., Barman, A., De, P. K., & Mohanta, K. K. (2022). A recovery mathematical model for the impact of supply chain interruptions during the lockdown in Covid-19 using two warehouse perishable inventory policies. Results in control and optimization, 9, 100184. https://doi.org/10.1016/j.rico.2022.100184
- [17] Maihami, R., & Kamalabadi, I. N. (2012). Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand. International journal of production economics, 136(1), 116–122.
- [18] Abdul Rahim, M. K. I., Zhong, Y., Aghezzaf, E. H., & Aouam, T. (2014). Modelling and solving the multiperiod inventory-routing problem with stochastic stationary demand rates. International journal of production research, 52(14), 4351–4363.
- [19] Pervin, M., Roy, S. K., & Weber, G. W. (2018). Analysis of inventory control model with shortage under time-dependent demand and time-varying holding cost including stochastic deterioration. Annals of operations research, 260, 437–460.
- [20] Shaikh, A., Bhunia, A., Cárdenas-Barrón, L., Sahoo, L., & Tiwari, S. (2018). A fuzzy inventory model for a deteriorating item with variable demand, permissible delay in payments and partial backlogging with shortage follows inventory (SFI) policy. International journal of fuzzy systems, 20. DOI:10.1007/s40815-018-0466-7
- [21] Mondal, R., Shaikh, A. A., & Bhunia, A. K. (2019). Crisp and interval inventory models for ameliorating item with Weibull distributed amelioration and deterioration via different variants of quantum behaved particle swarm optimization-based techniques. Mathematical and computer modelling of dynamical systems, 25(6), 602–626.
- [22] Rahman, M. S., Duary, A., Shaikh, A. A., & Bhunia, A. K. (2020). An application of parametric approach for interval differential equation in inventory model for deteriorating items with selling-price-dependent demand. Neural computing and applications, 32, 14069–14085.
- [23] Chang, C. T. (2004). An EOQ model with deteriorating items under inflation when supplier credits linked to order quantity. International journal of production economics, 88(3), 307–316.
- [24] Jaggi, C. K., Aggarwal, K. K., & Goel, S. K. (2006). Optimal order policy for deteriorating items with inflation induced demand. International journal of production economics, 103(2), 707–714.
- [25] Dey, J. K., Mondal, S. K., & Maiti, M. (2008). Two storage inventory problem with dynamic demand and interval valued lead-time over finite time horizon under inflation and time-value of money. European journal of operational research, 185(1), 170–194.
- [26] Ghoreishi, M., Mirzazadeh, A., & Weber, G. W. (2014). Optimal pricing and ordering policy for non-instantaneous deteriorating items under inflation and customer returns. Optimization, 63(12), 1785–1804.
- [27] Zhang, J., Bai, Z., & Tang, W. (2014). Optimal pricing policy for deteriorating items with preservation technology investment. Journal of industrial & management optimization, 10(4), 1261-1277.
- [28] Prasad, K., & Mukherjee, B. (2016). Optimal inventory model under stock and time dependent demand for time varying deterioration rate with shortages. Annals of operations research, 243, 323–334.
- [29] Rastogi, M., Singh, S., Kushwah, P., & Tayal, S. (2017). Two warehouse inventory policy with price dependent demand and deterioration under partial backlogging. Decision science letters, 6(1), 11–22.
- [30] Ahmad, B., & Benkherouf, L. (2020). On an optimal replenishment policy for inventory models for non-instantaneous deteriorating items with stock dependent demand and partial backlogging. RAIRO-operations research, 54(1), 69–79.
- [31] Geetha, K. V, & Udayakumar, R. (2020). Economic ordering policy for deteriorating items with inflation induced time dependent demand under infinite time horizon. International journal of operational research, 39(1), 69–94.
- [32] Rout, C., Chakraborty, D., & Goswami, A. (2021). A production inventory model for deteriorating items with backlog-dependent demand. RAIRO-operations research, 55, S549--S570.
Published
Issue
Section
Categories
License
Copyright (c) 2024 Transactions on Quantitative Finance and Beyond

This work is licensed under a Creative Commons Attribution 4.0 International License.