Capacity constraint EOQ model for deteriorating items with two-level trade credit under financial environment
Downloads
Abstract
The present model has been originated a capacity constraint EOQ for deteriorating items with two levels of trade credit policy under the financial environment. In this study, the trade credit policy of two-level has been considered. In this policy, the wholesaler got a permissible delay time period M offered by the supplier, and the retailer also gets the delay period $N(M>N)$ offered by the wholesaler. All possible cases in the trade credit period are developed under the financial environment. Further, this model has been considering the deteriorating rate constant in nature. In addition to this study, find the optimal solution, several theoretical results have been established. Finally, three hypothetical numerical examples have been considered and the sensitivity analysis on the optimal case has been done on different parameters.
Keywords:
Trade credit financing, Trade Credit Policy of Two-level, Deterioration, Limited storage capacity, InventoryMathematics Subject Classification:
Mathematics- Pages: 981-992
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
Aggarwal, S. P., and C. K. Jaggi. "Ordering policies of deteriorating items under permissible delay in payments." J. Oper. Res. Soc., 46(5)(1995), 658-662.
Bakker, Monique, Jan Riezebos, and Ruud H. Teunter. "Review of inventory systems with deterioration since 2001." Eur. J. Oper. Res., 221(2)(2012), 275-284.
Chang, Chun-Tao, Jinn-Tsair Teng, and Suresh Kumar Goyal. "Optimal replenishment policies for noninstantaneous deteriorating items with stock-dependent demand." Int. J. Prod. Econ. 123(1)(2010), 62-68.
Chang, Chun-Tao, and Shuo-Jye Wu. "Note, A note on'optimal payment time under permissible delay in payment for products with deterioration'." (2003), 478-482.
Chang, Hung-Chi, et al. "The optimal pricing and ordering policy for an integrated inventory model when trade credit linked to order quantity." Appl. Math. Model. $33(7)(2009), 2978-2991$.
Chang, Horng-Jinh, Cheng-Hsing Hung, and ChungYuan Dye. "An inventory model for deteriorating items with linear trend demand under the condition of permissible delay in payments." Prod. Plan. Control. 12(3)(2001), 274-282.
Cheng, Mei-Chuan, Chun-Tao Chang, and Liang-Yuh Ouyang. "The retailer's optimal ordering policy with trade credit in different financial environments." Appl. Math. Comput. 218(19)(2012), 9623-9634.
Chung, Kun-Jen, Suresh Kumar Goyal, and Yung-Fu Huang. "The optimal inventory policies under permissible delay in payments depending on the ordering quantity." Int. J. Prod. Econ. 95(2)(2005), 203-213.
Geetha, K. V., and R. Uthayakumar. "Economic design of an inventory policy for non-instantaneous deteriorating items under permissible delay in payments." $J$. Comput. Appl. Math. 233(10)(2010), 2492-2505.
Ghare, P. M. "A model for an exponentially decaying inventory." J. ind. Engng, 14(1963), 238-243.
Goyal, Suresh Kumar. "Economic order quantity under conditions of permissible delay in payments." J. Oper: Res. Soc. (1985), 335-338.
Goyal, Suresh Kumar, and Bibhas Chandra Giri. "Recent trends in modeling of deteriorating inventory." Eur. J. Oper. Res., 134(1)(2001), 1-16.
Harris, Ford W. "Operations and cost." Factory management series,(1915), 48-52.
Jaggi, Chandra K., S. K. Goyal, and Satish K. Goel. 'Retailer's optimal replenishment decisions with creditlinked demand under permissible delay in payments." Eur. J. Oper: Res., 190(1)(2008), 130-135.
Jaggi, C., Anuj Sharma, and Sunil Tiwari. "Credit financing in economic ordering policies for non-instantaneous deteriorating items with price dependent demand under permissible delay in payments, A new approach." Int. $J$. Indust. Eng. Comput, 6(4)(2015), 481-502.
Jaggi, Chandra $mathrm{K}$., et al. "A fuzzy EOQ model with allowable shortage under different trade credit terms." Appl. Math. Inf. Sci. 10(2)(2016), 785-805.
Jaggi, Chandra K., et al. "An EOQ model with allowable shortage under trade credit in different scenario." Appl. Math. Comput. 252(2015), 541-551.
Jamal, A. M. M., Bhaba R. Sarker, and Shaojun Wang. "Optimal payment time for a retailer under permitted
delay of payment by the wholesaler." Int. J. Prod. Econ. $66(1)(2000), 59-66$.
Liao, Jui-Jung. "A note on an EOQ model for deteriorating items under supplier credit linked to ordering quantity." Appl. Math. Model. 31(8)(2007), 1690-1699.
Lou, K. R., and W. C. Wang. "Optimal trade credit and order quantity when trade credit impacts on both demand rate and default risk." J. Oper. Res. Soc. 64(10)(2013), $1551-1556$.
Maihami, Reza, and Isa Nakhai Kamalabadi. "Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand." Int. J. Prod. Econ. 136(1)(2012), 116-122.
Raafat, Fred. "Survey of literature on continuously deteriorating inventory models." J. Oper. Res. Soc., $42(1)(1991), 27-37$.
Shah, Nita H., and Y. K. Shah. "Literature survey on inventory models for deteriorating items." (2000), 221237.
Shah, N. H., and M. Y. Jani. "Economic order quantity model for non-instantaneously deteriorating items under order-size-dependent trade credit for price-sensitive quadratic demand." AMSE Journals, 37(1)(2016), 1-19.
Shaikh, Ali Akbar, and Leopoldo Eduardo CárdenasBarrón. "An EOQ inventory model for non-instantaneous deteriorating products with advertisement and price sensitive demand under order quantity dependent trade credit." Investigación Operacional, 41(2)(2020), 168-187.
Sharma, Anuj Kumar, et al. "Optimal trade credit and replenishment policies for non-instantaneous deteriorating items." RAIRO, Recherche Opérationnelle, 54(2020).
Soni, Hardik, Nita H. Shah, and Chandra K. Jaggi. "Inventory models and trade credit, a review." Control. Cybern. 39(2010), 867-882.
Taleizadeh, Ata Allah, Shayan Tavakoli, and Luis Augusto San-José. "A lot sizing model with advance payment and planned backordering." Ann.Oper.Res. 271(2)(2018), 1001-1022.
Tavakoli, Shayan, and Ata Allah Taleizadeh. "An EOQ model for decaying item with full advanced payment and conditional discount.' Ann.Oper.Res. 259(1)(2017), $415-436$.
Teng, J. T. "On the economic order quantity under conditions of permissible delay in payments." J. Oper. Res. Soc., 53(8)(2002), 915-918.
Wu, Kun-Shan, Liang-Yuh Ouyang, and Chih-Te Yang. "An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging.” Int. J. Prod. Econ. 101(2)(2006),369-384.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.