A Multi Period Lot-Sizing Model in Three-Echelon Supply Chain by Considering Payment Methods and Joint Replenishment of Inventory Items

Document Type : Original Article

Authors

1 M.Sc., Islamic Azad University, Bandar Abbas Branch.

2 Assistant Professor, Islamic Azad University, South Tehran Branch.

Abstract

Different payment methods and time value of money have a significant impact on the profitability of the supply chain. In many applications, coordinated ordering of items creates savings in the total ordering cost. In this paper, a model is developed that integrates the joint replenishment of inventory items (JRP) and the selection of payment methods into supplier-selection order-allocation problem. Retailer can pay purchasing costs to suppliers and receive the selling price from customers in different payment methods. Three payment methods of cash-in-advance, cash and credit are assumed. In the developed multi-item multi-period model, the negative cash flows are borrowed and positive cash flows are invested. The objective function is maximizing the net future value of retailer’s cash flows. Through a numerical example, it is shown that major ordering is related with the number of selected suppliers but it does not affect the payment methods. In addition, minimum attractive rate of return of the supply chain members affects the selection of payment method and loans.

Keywords

References

1.  Azaron, A., Venkatadri, U., & Farhang Doost, A. (2018). A Stochastic Approach for Designing Supply Chain Networks under Uncertainty. IFAC PapersOnLine, 51(11), 1465-1469. 
2.  Beullens, P., & Janssens, G. K. (2014). Adapting inventory models for handling various payment structures using net present value equivalence analysis. International Journal of Production Economics, 157, 190-200.
3.  Cha, B., & Moon, I. (2005). The joint replenishment problem with quantity discounts under constant demand. OR Spectrum, 27(4), 569-581.
4. Chan, C. K., Li, L. Y.-o., Ng, C. T., Cheung, B. K.-s., & Langevin, A. (2006). Scheduling of multi-buyer joint replenishments. International Journal of Production Economics, 102(1), 132-142.
5.  Choudhary, D., & Shankar, R. (2013). Joint decision of procurement lot-size, supplier selection, and carrier selection. Journal of Purchasing and Supply Management, 19(1), 16-26.
6.  Ghiami, Y., & Beullens, P. (2016). Planning for shortages? Net Present Value analysis for a deteriorating item with partial backlogging. International Journal of Production Economics, 178, 1-11.
7.  Grubbström, R. W. (1980). A principle for determining the correct capital costs of work-in-progress and inventory. International Journal of Production Research, 18(2), 259-271.
8.  Hadley, G. (1964). A comparison of order quantities computed using the average annual cost and the discounted cost. Management Science, 10(3), 472-476.
9.  Kardan, B., Vajedi Noqabi, A.H., & Rostami, A. (2016). Application of Fuzzy Regression in Explaining the Relationship between Supply Chain Management and Financial Performance. Industrial Management Perspective, 5, Issue (20), 119-141 (In Persian).
10.  Khouja, M., & Goyal, S. (2008). A review of the joint replenishment problem literature: 1989–2005. European Journal of Operational Research, 186(1), 1-16.
11.  Khouja, M., Park, S., & Saydam, C. (2005). Joint replenishment problem under continuous unit cost change. International Journal of Production Research, 43(2), 311-326.
12.  Klein, C., & Ventura, J. (1995). An optimal method for a deterministic joint replenishment inventory policy in discrete time. Journal of the Operational Research Society, 46(5), 649-657.
13.  Lee, C. H., & Rhee, B.-D. (2010). Coordination contracts in the presence of positive inventory financing costs. International Journal of Production Economics, 124(2), 331-339.
14.  Majumder, P., Bera, U. K., & Maiti, M. (2016). An EPQ model for two-warehouse in unremitting release pattern with two-level trade credit period concerning both supplier and retailer. Applied Mathematics and Computation, 274, 430-458.
15.  Marchi, B., Ries, J.M., Zanoni, S., & Glock, C.H. (2016). A joint economic lot size model with financial collaboration and uncertain investment opportunity. International Journal of Production Economics, 176, 170-182.
16.  Mohammadi, A., Khalifeh, M., Abbasi, A., Ali Mohammadlu, M., &  Eghtesadifard, M. (2017). Supply chain design with a financial and operational integration approach. Industrial Management Perspective, 26, 139-168 (In Persian).
17.  Mohammaditabar, D., & Ghodsypour, S. H. (2016). A supplier-selection model with classification and joint replenishment of inventory items. International Journal of Systems Science, 47(8), 1745-1754.
18.  Moon, I., Goyal, S., & Cha, B. (2008). The joint replenishment problem involving multiple suppliers offering quantity discounts. International Journal of Systems Science, 39(6), 629-637.
19.  Mousavi, S. M., Hajipour, V., Niaki, S. T. A., & Alikar, N. (2013). Optimizing multi-item multi-period inventory control system with discounted cash flow and inflation: two calibrated meta-heuristic algorithms. Applied Mathematical Modelling, 37(4), 2241-2256.
20.  Porteus, E. L. (1985). Undiscounted approximations of discounted regenerative models. Operations Research Letters, 3(6), 293-300.
21.  Rezaei, J., & Davoodi, M. (2008). A deterministic, multi-item inventory model with supplier selection and imperfect quality. Applied Mathematical Modelling, 32(10), 2106-2116.
22.  Ries, J.M., Glock, C.H. & Schwindl, K. (2016). Economic ordering and payment policies under progressive payment schemes and time-value of money. International Journal of Operations and Quantitative Management, 22(3), 231-251.
23.  Shu, F. T. (1971). Economic ordering frequency for two items jointly replenished. Management Science, 17(6), B-406-B-410.
24.  Siajadi, H., Ibrahim, R., Lochert, P., & Chan, W. (2005). Joint replenishment policy in inventory-production systems. Production Planning & Control, 16(3), 255-262.
25.  Stadtler, H., & Kilger, C. (2002). Supply chain management and advanced planning. In: Springer.
26.  Starr, M. K., & Miller, D. W. (1962). Inventory control: theory and practice: Prentice-Hall.
27.  Taleizadeh, A. A. (2014). An EOQ model with partial backordering and advance payments for an evaporating item. International Journal of Production Economics, 155, 185-193.
28.  Tavakoli, A., Didekhani, H., Kariznoie, A., & Sadeghpor, H. (2011). Using the appropriate mathematical model for evaluating suppliers using Mikhailov's method. Industrial Management Perspective, 4, 153-173 (In Persian).
29.  Vanteddu, G., Chinnam, R.B., & Gushikin, O. (2011). Supply chain focus dependent supplier selection problem. International Journal of Production Economics, 129, 204-216.
30.  Wang, L., Fu, Q.-L., Lee, C.-G., & Zeng, Y.-R. (2013). Model and algorithm of fuzzy joint replenishment problem under credibility measure on fuzzy goal. Knowledge-Based Systems, 39, 57-66.
31.  Weber, C. A., Current, J. R., & Benton, W. (1991). Vendor selection criteria and methods. European Journal of Operational Research, 50(1), 2-18.
32.  Zhang, Q., Tsao, Y.-C., & Chen, T.-H. (2014). Economic order quantity under advance payment. Applied Mathematical Modelling, 38(24), 5910-5921.
33.  Zia, N. P., & Taleizadeh, A. A. (2015). A lot-sizing model with backordering under hybrid linked-to-order multiple advance payments and delayed payment. Transportation Research Part E: Logistics and Transportation Review, 82, 19-37.
Journal of Industrial Management Perspective
Volume 8, Issue 3 - Serial Number 31
December 2018
Pages 141-165

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