A Single-Vendor Single-Buyer Supply Chain Coordination Model with Price Discount and Benefit Sharing in Fuzzy Environment

Authors

  • U. Sarkar Department of Mathematics, MCKV Institute of Engineering, Liluah, Howrah, India
  • A. K. Jalan Department of Mathematics, MCKV Institute of Engineering, Liluah, Howrah, India
  • B.C. Giri Department of Mathematics, Jadavpur University, Kolkata, India

Keywords:

supply chain management, coordination, price discount, fuzzy, centroid method

Abstract

Coordination among the participating members of a supply chain is a major issue for all successful decision makers. In the literature, numerous supply chain models have been developed based on exact (known) parameter-values. However, in reality, vagueness of parameter-values is frequently observed in many circumstances. In this article, we develop a two-stage supply chain model with a single vendor and a single buyer, and design a coordination mechanism through price discount policy with incomplete information of demand and cost parameters. We first develop the model imposing fuzziness in demand and then fuzziness in all the cost components. In each case, centroid method is used for defuzzification. A solution procedure is outlined and suitable numerical examples are given to determine the optimal results of the proposed fuzzy models.

References

Banerjee, A. (1988). A joint economic lot size model for purchaser and vendor. Decision Sciences, 17, 292-311.

Ben-Daya, M. & Hariga, M. (2004). Integrated single vendor single buyer model with stochastic demand and variable lead time. International Journal of Production Economics, 92, 75-80.

Chiang, J., Yao, J.S. & Lee, H.M. (2005). Fuzzy inventory with backorder defuzzification by signed distance method. Journal of Information Science and engineering, 21,673-694.

Corbett, C. & Groote, X. (2000). A supplier’s optimal quantity discount policy under asymmetric information. Management Science, 46,444-450.

Costantino, N., Dotoli, M., Falagario, M., Fanti, M.P. & Mangini, A.M. (2012). A model for supply management of agile manufacturing supply chains. International Journal of Production Economics, 135, 451-457.

Dey, O., Giri, B. C. (2014). Optimal vendor investment for reducing defect rate in a vendor buyer integrated system with imperfect production process. International Journal of Production Economics, 155(1), 222–228.

Ganga, G.M.D. & Carpinetti, L.C.R. (2011). A fuzzy logic approach to supply chain performance management. International Journal of Production Economics, 134, 177-187.

Goyal, S.K. (1976). An integrated inventory model for a single-supplier single-customer problem. International Journal of Production Research, 15, 459-463.

Goyal, S.K. (1988). A joint economic lot size model for purchaser and vendor: a comment. Decision Sciences,19, 236-241.

Goyal, S.K. (1995). A one-vendor multi-buyer integrated inventory model: a comment. European Journal of Operational Research, 81, 312-323.

Gunasekaran, N., Rathesh, S., Arunachalam, S. & Koh, S.C.L. (2006). Optimizing supply chain management using fuzzy approach. Journal of Manufacturing Technology Management, 17(6), 737-749.

Hill, R.M.(1999). The optimal production and shipment policy for the single-vendor single-buyer integrated production-inventory model. International Journal of Production Research, 37, 2463-2475.

Hogue, M.A. & Goyal, S.K. (2000). An optimal policy for a single vendor single buyer integrated production-inventory problem with capacity constraint of the transport equipment. International Journal of Production Economics, 65, 305-315.

Jauhari, W. A. & Saga, R. S. (2017) A stochastic periodic review inventory model for vendor–buyer system with setup cost reduction and service–level constraint. Production & Manufacturing Research, 5:1, 371-389.

Lee, H.M. & Lin, L. (2011). Applying signed distance method for fuzzy inventory without backorder. International Journal of Innovative Computing, Information and Control, 7(6), 3523-3531.

Li, J. & Liu, J. (2006). Supply chain coordination with quantity discount policy. International Journal of Production Economics, 101, 89-98.

Li, J., Su, Q., & Ma, L. (2017). Production and transportation outsourcing decisions in the supply chain under single and multiple carbon policies. Journal of Cleaner Production, 141, 1109–1122.

Lin, Y.J. (2008). A periodic review inventory model involving fuzzy expected demand short and fuzzy backorder rate. Computers and Industrial Engineering, 54(3), 666-676.

Lu, L. (1995). A one-vendor multi-buyer integrated inventory model. European Journal of Operational Research, 81, 312-323.

Mahapatra, N.K., Bera, U.K. & Maiti, M. (2012). A production inventory model with shortages, fuzzy preparation time and variable production and demand. American Journal of Operational Research, 2, 183-192.

Mahata, G. C. (2015). An integrated production-inventory model with backorder and lot for lot policy in fuzzy sense. International Journal of Mathematics in Operational Research, 7, 69–102.

Mahata, G., Goswami, A. & Gupta, D. (2005). A joint economic-lot-size model for purchaser and vendor in fuzzy sense. Computers and Mathematics with Applications, (10-12):1767-1790.

Masihabadi, S. & Eshghi, K. (2011). Coordinating a seller-buyer supply chain with a proper allocation of chain’s surplus profit using a general side payment contract. Journal of Industrial and System Engineering, 5, 63-79.

Moharana, H.S., Murty, J.S., Senapati, S.K. & Khuntia, K. (2012). Coordination, collaboration and integration for supply chain management. International Journal of Interscience Management Review, 2(2), 2012.

Petrovic, D., Roy, R. & Petrovic, R. (1999). Supply chain modelling using fuzzy sets. International Journal of Production Economics, 59(1-3), 443-453.

Priyan, S., & Uthayakumar, R. (2016). Economic design of multi-echelon inventory system with variable lead time and service level constraint in a fuzzy cost environment. Fuzzy Information and Engineering, 8, 465–511.

Qin, Y., Tang, H. & Guo, C. (2007). Channel coordination and volume discounts with price sensitive demand. International Journal of Production Research, 105, 43-53.

Sadi-Nezhad, S., Nahavandi, S.M. & Nazeni, J. (2011). Periodic and continuous inventory models in the presence of fuzzy costs. International Journal of Industrial Engineering Computations, 2, 167-178.

Saha, S., Das, S. & Basu, M.(2012). Supply chain coordination under stock and price-dependent selling rates under declining market. Hindawi Publishing Corporation:Advances in Operations Research, doi-10.1155/2012/375128.

Sajadieh, M.S., Akbari Jokar, M.R & Modarres, M. (2009). Developing a coordinated vendor-buyer model in two stage supply chains with stochastic lead time. Computers and Operations Research, 36, 2484-2489.

Sarkar, S. & Chakrabarti, T. (2012). An EPQ model with two-component demand under fuzzy environment and Weibull distribution deterioration with shortages. Hindawi Publishing Corporation, Mathematical Problems in Engineering, doi:10.1155/2012/264182.

Shah, N.H., Patel, D.G. & Shah, D.B. (2013). Optimal pricing, shipments and ordering policies for single-supplier single-buyer inventory system with price sensitive stock-dependent demand and order-linked trade credit. Global Journal of Researches in Engineering, 13(1), 2013.

Shahrjerdi, R., Anuar, M.K., Mustapha, F., Ismail, N. & Esmaeili, M. (2011). An integrated inventory model under cooperative and non-cooperative seller-buyer and vendor supply chain. African Journal of Business Management, 5, 8361-8367.

Sinha, S. & Sarmah, S.P. (2008). An application of fuzzy set theory for supply chain coordination. International Journal of Management Science and Engineering Management, 3(1), 19-32.

Sucky, E. (2006). A bargaining model with asymmetric information for a single supplier-single buyer problem. European Journal of Operational Research, 171(2), 516-535.

Taleizadeh, A. A., Niaki, S. T. A., & Wee, H. M. (2013). Joint single vendor-single buyer supply chain problem with stochastic demand and fuzzy lead-time. Knowledge-Based Systems, 48, 1–9.

Tutunchu, G.Y., Akoz, O., Apaydin, A. & Petrovic, D. (2008). Continuous review inventory control in the presence of fuzzy costs. International Journal of Production Economics, 113(2), 775-784.

Yang, M.F. (2010). Supply chain integrated inventory model with present value and dependent crashing cost is polynomial. Mathematical and Computer Modelling, 51, 802-809.

Yao, J.S. & Chiang, J. (2003). Inventory without backorder with fuzzy total cost and fuzzy storing cost defuzzified by centroid and signed distance. European Journal of Operational Research, 148(2), 401-409.

Yao, J.S. & Lee, H.M. (1996). Fuzzy inventory with backorder for fuzzy order quantity. Information Science, 93, 283-319.

Zadeh, L. (1965). Fuzzy sets. Information and Control, 8,338-353.

Zhang, Q., Luo, J., & Duan, Y. (2016). Buyer-vendor coordination for fixed lifetime product with quantity discount under finite production rate. International Journal of Systems Science, 47(4), 821–834.

Downloads

Published

23-10-2021

How to Cite

U. Sarkar, A. K. Jalan, & B.C. Giri. (2021). A Single-Vendor Single-Buyer Supply Chain Coordination Model with Price Discount and Benefit Sharing in Fuzzy Environment. International Journal of Management Studies (IJMS), 5(3(1), 12–23. Retrieved from https://researchersworld.com/index.php/ijms/article/view/1637

Issue

Section

Articles