Optimal ordering policy for an integrated inventory model with stock dependent demand and order linked trade credits for twin ware house system

Mishra, P.; Shaikh, A.

Growing Science » Uncertain Supply Chain Management » Optimal ordering policy for an integrated inventory model with stock dependent demand and order linked trade credits for twin ware house system

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Uncertain Supply Chain Management

ISSN 2291-6830 (Online) - ISSN 2291-6822 (Print) Quarterly Publication Volume 5 Issue 3 pp. 169-186 , 2017

Optimal ordering policy for an integrated inventory model with stock dependent demand and order linked trade credits for twin ware house system Pages 169-186 Download PDF

Authors: Poonam Mishra, Azharuddin Shaikh

DOI: 10.5267/j.uscm.2017.1.004

Keywords: Integrated model, Order-size dependent trade credit period, Capacity constraint, Stock dependent demand and rented warehouse

Abstract: Many entrepreneurs use different ways to offer credit to enhance long term profit as well as relations with their customers. Order-size dependent credit period is one of them that encourage customers to order large lots to grab more credits in payments. Since display of items play positive role in boosting demand, stock dependent demand is assumed in the proposed model. Ordering large lots can create space issue so the proposed model presents a rented warehouse along with owned one. Rented warehouse is used only when owned warehouse is utilized, completely. Here we propose an integrated inventory model with capacity utilization dependent holding cost to optimize joint profit of supplier and retailer. An algorithm is developed to determine the optimal replenishment policies in order to enhance total profit of supply chain under different ordering schemes. Total joint profit for supplier and retailer is optimized using MATLAB 2015. Numerical examples are presented to illustrate the solution procedure and the results. Sensitivity analysis for some key parameters is carried out to demonstrate the influence of different parameters on over-all profit and cycle time. The proposed model is applicable to fast moving consumer goods (FMCG) and home textile industry.

How to cite this paper

 Mishra, P & Shaikh, A. (2017). Optimal ordering policy for an integrated inventory model with stock dependent demand and order linked trade credits for twin ware house system.Uncertain Supply Chain Management, 5(3), 169-186.

Refrences

Abad, P. L. and Jaggi, C. K. (2003). A joint approach for setting unit price and the length of the credit period for a seller when end demand is price sensitive. International Journal of Production Economics, 83(2), 115–122.
Aggarwal, S.P. and Jaggi, C.K. (1995). Ordering policies of deteriorating items under permissible delay in payments. Journal of Operational Research Society, 46, 458-462.
Chang, C. T. (2002). Extended economic order quantity model under cash discount and payment delay. International Journal of Information and Management Sciences, 13(3), 57–69.
Chang, C. T., Teng, J. T. and Goyal, S. K, (2008). Inventory lot-size models under trade credits: A review. Asia-Pacific Journal of Operational Research, 25, 89–112.
Chang, H.C., Ho, C.H., Ouyang, L.Y. and Su, C.H. (2009). The optimal pricing and ordering policy for an integrated inventory model when trade credit linked to order quantity. Applied Mathematical Modelling, 33(7), 2978-2991, doi: 10.1016/j.apm.2008.10.007.
Goyal, S. K. (1976). An integrated inventory model for a single supplier–single customer problem. International Journal of Production Economics, 15(1), 107–111.
Goyal, S. K. (1985). Economic order quantity under conditions of permissible delay in payments. Journal of the Operational Research Society, 36, 335–338.
Goyal, S. K. and Giri, B. C. (2001). Recent trends in modeling of deteriorating inventory. European Journal of Operational Research, 134(1), 1–16.
Ho, C. H., Ouyang, L. Y. and Su, C. H. (2008). Optimal pricing, shipment and payment policy for an integrated supplier–buyer inventory model with two-part trade credit. European Journal of Operational Research, 187(2), 496–510.
Huang, Y. F. (2003). Optimal retailer’s ordering policies in the EOQ model under trade credit financing. Journal of the Operational Research Society, 54(9), 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, 30(5), 418–436.
Kumar, A., Kaanodiya, K.K. and Pachauri, R.R. (2011). Retailer’s Optimal Ordering Policies with Two Stage Credit Policies and Imperfect Quality. International Business and Management, 3 (1), 77-81.
Levin, R. I., Mclaughlin, C. P., Lamone, R. P. and Kottas, J. F. (1972). Productions / Operations Management Contemporary policy for managing operating systems. Macgraw-Hill, New York.
Liang, Y. and Zhou, F. (2011). A two-warehouse inventory model for deteriorating items under conditionally permissible delay in payment. Applied Mathematical Modelling, 35(5), 2221-2231, doi: 10.1016/j.apm.2010.11.014.
Liao, J. J., Chung, K. J., & Huang, K. N. (2013). A deterministic inventory model for deteriorating items with two warehouses and trade credit in a supply chain system. International Journal of Production Economics, 146(2), 557–565.
Liao, J. J., Huang, K. N. and Chung, K. J. (2012). Lot-sizing decisions for deteriorating items with two warehouses under an order-size-dependent trade credit. International Journal of Production Economics, 137(1), 102–115.
Min, J., Zhou, Y.W. and Zhao, J. (2010). An inventory model for deteriorating items under stock-dependent demand and two-level trade credit. Applied Mathematical Modelling, 34, 3273–3285.
Ouyang, L. Y., Chen, M. S. and Chuang, K. W. (2002). Economic order quantity model under cash discount and payment delay. International Journal of Information and Management Sciences, 13(1), 1–10.
Ouyang, L. Y., Ho, C. H., Su, C. H. and Yang, C. T. (2015). An integrated inventory model with capacity constraint and order-size dependent trade credit. Computers & Industrial Engineering, 84, 133-143.
Ouyang, L. Y., Teng, J. T., Chuang, K. W. and Chuang, B. R. (2005). Optimal inventory policy with non-instantaneous receipt under trade credit. International Journal of Production Economics, 98(3), 290–300.
Ouyang, L. Y., Wu, K. S. and Yang, C. T. (2007). An EOQ model with limited storage capacity under trade credits. Asia–Pacific Journal of Operational Research, 24(4), 575–592.
Panda, D., Maiti, M. K. and Maiti, M. (2010). Two warehouse inventory models for single vendor multiple retailers with price and stock dependent demand. Applied Mathematical Modelling, 34(11), 3571–3585.
Sana, S. S. and Chaudhuri, K. S. (2008). A deterministic EOQ model with delays in payments and price-discount offers. European Journal of Operational Research, 184(2), 509–533.
Shah, N. H., Soni, H. and Jaggi, C. K. (2010). Inventory models and trade credit: Review. Control & Cybernetics, 39, 867–884.
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, 2(1). doi: 10.1080/23311916.2015.1012989
Shah, N.H. (2015). Three layers integrated inventory model for deteriorating items with quadratic demand and two level trade credit financing. International Journal of Systems Science: Operations & Logistics. doi:10.1080/23302674.2015.1075078
Shah, N.H. and Chaudhari, U. (2015). Optimal policies for three players with fixed life time and two-level trade credit for time and credit dependent demand. Advances in Industrial Engineering and Management, 4(1), 89-100, doi: 10.7508/aiem.2015.01.009
Shah, N.H., Patel, D.G. and Shah, D.B. (2014). Optimal integrated inventory policy for stock-dependent demand when trade credit is linked to order quantity. Revista Investigación Operacional, 35(2), 130-140.
Su, C. H., Ouyang, L. Y., Ho, C. H. and Chang, C. T. (2007). Retailer’s inventory policy and supplier’s delivery policy under two-level trade credit strategy. Asia–Pacific Journal of Operational Research, 24(5), 613–630.
Teng, J. T. and Chang, C. T. (2009). Optimal manufacturer’s replenishment policies in the EPQ model under two levels of trade credit policy. European Journal of Operational Research, 195(2), 358–363.
Urban, T. L., (2005). Inventory models with inventory level dependent demand: A Comprehensive review and unifying theory. European Journal of Operational Research, 164, 792-304.
Zhou, Y. W. and Yang, S. L. (2005). A two-warehouse inventory model for items with stock-level-dependent demand rate. International Journal of Production Economics, 95(2), 215–228.