Manufacturer-retailer Inventory Model for Deteriorating Items with Fixed Lifetime and Two-level Trade Credit having Credit-linked Price-dependent Demand

Document Type : Research Paper

Author

Ganpat University- U. V. Patel College of Engineering, Ganpat Vidyanagar, Gujarat, India

Abstract

Supply chain system containing two-level i.e. single-manufacturer and single-retailer is considered, assuming the time varying deterioration rate. The units deteriorate in the warehouse. The system allows the offering of two-level credit. Demand function is the increasing function of retailer’s credit offered to the consumers. Under the agreed contract, manufacturers offer trade credit in the form of delay payment to the retailers such that profit will be shared jointly. Modelling of mathematical computation is done with a view to maximize total joint profit in the supply chain. Next, numerical examples are discussed, followed by sensitivity analysis to validate the outcomes of solution procedure.

Keywords


Chen, S. C., Teng, J. T., and Skouri, K., (2014). Economic production quantity models for deteriorating items with up-stream full trade credit and down-stream partial trade credit, International Journal of Production Economics, Vol. 155, pp. 302-309.
Chung, K. J., Cárdenas-Barrón, L. E., and Ting, P. S., (2014). An inventory model with non-instantaneous receipt and exponentially deteriorating items for an integrated three layer supply chain system under two levels of trade credit, International Journal of Production Economics, Vol. 155, pp. 310–317.
Feng, X., Moon, I., and Ryu, K., (2014). Revenue-sharing contracts in an N-stage supply chain with reliability considerations, International Journal of Production Economics, Vol. 147, pp. 20–29.
Goyal, S. K., (1985). Economic order quantity under conditions of permissible delay in payments, Journal of the operational research society, Vol. 36(4), pp. 335-338.
Heydari, J., and Norouzinasab, Y., (2016). Coordination of pricing, ordering, and lead time decisions in a manufacturing supply chain, Journal of Industrial and Systems Engineering, Vol. 9, pp. 1-16.
Huang, Y. F., (2003). Optimal retailer’s ordering policies in the EOQ model under trade credit financing, Journal of the Operational Research Society, Vol. 54, pp. 1011–1015
Huang, Y. F., (2006). An inventory model under two levels of trade credit and limited storage space derived without derivatives, Applied Mathematical Modelling, Vol. 30, pp. 418–436.
Huang, Y. F., (2007). Optimal retailer’s replenishment decisions in the EPQ model under two levels of trade credit policy”, European Journal of Operational Research, Vol. 176, pp. 1577–1591.
Huang, Y. F., (2008). An EOQ model under retailer partial trade credit policy in supply chain, International Journal of Production Economics, Vol. 112, pp. 655–664.
Jiang, W., Ouyang, L. Y., Cárdenas-Barrón, L. E., and Goyal, S. K., (2014). Optimal credit period and lot size for deteriorating items with expiration dates under two-level trade credit financing, European Journal of Operational Research, Vol. 237, pp. 898–908.
Liao, J. J., (2008). An EOQ model with noninstantaneous receipt and exponentially deteriorating items under two-level trade credit, International Journal of Production Economics, Vol. 113, pp. 852–861.
Mahata, G. C., (2012). An EPQ-based inventory model for exponentially deteriorating items under retailer partial trade credit policy in supply chain”, Expert systems with Applications, Vol. 39(3), pp. 3537-3550.
Mahata, P., Mahata, G. C., and De, S. K., (2018). Optimal replenishment and credit policy in supply chain inventory model under two levels of trade credit with time-and credit-sensitive demand involving default risk, Journal of Industrial Engineering International, Vol. 14(1), pp. 31-42.
Mahata, P., Mahata, G. C. and De, S.. (2020). An economic order quantity model under two-level partial trade credit for time varying deteriorating items." International Journal of Systems Science: Operations & Logistics, Vol. 7(1), pp. 1-17.
Pramanik, Prasenjit, and Manas Kumar Maiti. (2019). An inventory model for deteriorating items with inflation induced variable demand under two level partial trade credit: A hybrid ABC-GA approach." Engineering Applications of Artificial Intelligence, Vol. 85, pp. 194-207.
Rai, V., (2020). Trade Credit Policy Between Supplier–Manufacturer–Retailer for Ameliorating/Deteriorating Items, Journal of the Operations Research Society of China, Vol. 8(1), pp. 79-103.
Shah, N. H., (2015). Manufacturer-retailer inventory model for deteriorating items with price-sensitive credit-linked demand under two-level trade credit financing and profit sharing contract, Cogent Engineering, Vol. 2(1), pp. 1012989.
Shah, N. H., Soni, H., and Jaggi, C. K., (2010). Inventory models and trade credit: Review, Control & Cybernetics, Vol. 39, pp. 867–884.
Shaikh, A. A., (2017). An inventory model for deteriorating item with frequency of advertisement and selling price dependent demand under mixed type trade credit policy, International Journal of Logistics Systems and Management, Vol. 28(3), pp. 375-395.
Soni, H. N., (2013). Optimal replenishment policies for non-instantaneous deteriorating items with price and stock sensitive demand under permissible delay in payment, International Journal of Production Economics, Vol. 146(1) pp. 259-268.
Teng, J. T., and Goyal, S. K., (2007). Optimal ordering policies for a retailer in a supply chain with up-stream and down-stream trade credits, Journal of the Operational Research Society, Vol. 58, pp. 1252–1255.
Tiwari, S., Ahmed, W. and Sarkar, B., (2019). Sustainable ordering policies for non-instantaneous deteriorating items under carbon emission and multi-trade-credit-policies, Journal of Cleaner Production, Vol. 240, pp. 118-183.