An integrated supply chain model for the perishable items with fuzzy production rate and fuzzy demand rate
DOI:
https://doi.org/10.2298/YJOR1101047SKeywords:
Fuzzy numbers, fuzzy demand, fuzzy production, integrated supply chainAbstract
In the changing market scenario, supply chain management is getting phenomenal importance amongst researchers. Studies on supply chain management have emphasized the importance of a long-term strategic relationship between the manufacturer, distributor and retailer. In the present paper, a model has been developed by assuming that the demand rate and production rate as triangular fuzzy numbers and items deteriorate at a constant rate. The expressions for the average inventory cost are obtained both in crisp and fuzzy sense. The fuzzy model is defuzzified using the fuzzy extension principle, and its optimization with respect to the decision variable is also carried out. Finally, an example is given to illustrate the model and sensitivity analysis is performed to study the effect of parameters.References
Chang, H.C., Yao, J.S., and Quyang, L.Y., “Fuzzy mixture inventory model with variable lead-time based on probabilistic fuzzy set and triangular fuzzy number,” Computer and Mathematical Modeling, 39 (2004) 287-304.
Chang, H.C., Yao, J.S., and Quyang, L.Y., “Fuzzy mixture inventory model involving fuzzy random variable, lead-time and fuzzy total demand,” European Journal of Operational Research, 69 (2006) 65-80.
Chen, L.H., and Kang, F.S., “Integrated vendor-buyer cooperative inventory models with variant permissible delay in payments,” European Journal of Operational Research, 183(2) (2007) 658-673.
Chung, C.J., and Wee, H.M., “Minimizing the economic lot size of a three-stage supply chain with backordering derived without derivatives,” European Journal of Operational Research, 183(2) (2007) 933-943.
Dutta, P., Chakraborty, D., and Roy, A.R., “Continuous review inventory model in mixed fuzzy and stochastic environment,” Applied Mathematics and Computation, 188 (2007) 970-980.
Kim, S.W., and Park, S., “Development of a three-echelon SC model to optimize coordination costs,” European Journal of Operational Research, 184(3) (2008) 1044-1061.
Lee, H.T., and Wu, J.C., “A study on inventory replenishment policies in a two echelon supply chain system,” Computers and Industrial Engineering, 51(2) (2006) 257-263.
Maity, M.K., and Maiti, M., “Two-storage inventory model with lot-size dependent fuzzy lead-time under possibility constraints via genetic algorithm,” European Journal of Operational Research, 179 (2007) 352-371.
Rau, H., and Ouyang, B.C., “An optimal batch size for integrated production inventory policy in a supply chain,” European Journal of Operational Research, 195(2) (2008) 619-634.
Singh, S.R., Singh, C., and Singh, T.J., “Optimal policy for decaying items with stock-dependent demand under inflation in a supply chain,” International Review of Pure and Applied Mathematics, 3(2) (2007) 189-197.
Wee, H.M., “Optimal buyer-seller discount pricing and ordering policy for deteriorating items,” The Engineering Economist Winter, 43(2) (1998) 151-168.
Wu, M.Y., and Wee, H.M., “Buyer-seller joint cost for deteriorating items with multiple-lot-size deliveries,” Journal of the Chinese Institute of Industrial Engineering, 18(1) (2001) 109-119.
Wu, Z., and Choi, T.Y., “Supplier-supplier relationships in the buyer-supplier triad: Building theories from eight case studies,” Journal of Operations Management, 24(5) (2005) 27-52.
Yang, P.C., and Wee, H.M., “Economic order policy of deteriorated items for vendor and buyer: An integral approach,” Production Planning and Control Management, 16(6) (2000) 455-463.
Yang, P.C., and Wee, H.M., “An Integrating multi lot size production inventory model for deteriorating item,” Computers and Operations Research, 30 (2003) 671-682.
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