An integrated supply chain model for the perishable items with fuzzy production rate and fuzzy demand rate

Authors

  • Chaman Singh Dept. of Mathematics, A.N.D. College, University of Delhi, India
  • S.R. Singh Reader, Dept. of Mathematics, D.N.(P.G.) College, Meerut, India

DOI:

https://doi.org/10.2298/YJOR1101047S

Keywords:

Fuzzy numbers, fuzzy demand, fuzzy production, integrated supply chain

Abstract

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., Quyang, L.Y. (2006) Fuzzy mixture inventory model involving fuzzy random variable, lead-time and fuzzy total demand. European Journal of Operational Research, 69, str. 65-80

Chang, H.C., Yao, J.S., Quyang, L.Y. (2004) Fuzzy mixture inventory model with variable lead-time based on probabilistic fuzzy set and triangular fuzzy number. Mathematical and Computer Modelling, 39(2-3): 287-304

Chen, L.H., Kang, F.S. (2007) Integrated vendor-buyer cooperative inventory models with variant permissible delay in payments. European Journal of Operational Research, 183(2): 658-673

Chung, C., Wee, H. (2007) Minimizing the economic lot size of a three-stage supply chain with backordering derived without derivatives. European Journal of Operational Research, 183(2), 933-943

Dutta, P., Chakraborty, D., Roy, A. (2007) Continuous review inventory model in mixed fuzzy and stochastic environment. Applied Mathematics and Computation, 188(1): 970-980

Kim, S., Park, S. (2008) Development of a three-echelon SC model to optimize coordination costs. European Journal of Operational Research, 184(3): 1044-1061

Lee, H., Wu, J. (2006) A study on inventory replenishment policies in a two-echelon supply chain system. Computers & Industrial Engineering, 51(2): 257-263

Maiti, M., Maiti, M. (2007) Two-storage inventory model with lot-size dependent fuzzy lead-time under possibility constraints via genetic algorithm. European Journal of Operational Research, 179(2): 352-371

Rau, H., Ouyang, B.C. (2008) An optimal batch size for integrated productioninventory policy in a supply chain. European Journal of Operational Research, 195(2) 619-634

Singh, S.R., Singh, C., Singh, T.J. (2007) Optimal ordering policy for decaying items with stock-dependent demand under inflation in a supply chain. Int. Rev. Pure Appl. Math., 3(2): 189

Wee, H. (1998) Optimal Buyer-Seller Discount Pricing and Ordering Policy for Deteriorating Items. Engineering Economist, 43(2): 151-168

Wu, M., Wee, H. (2001) Buyer-seller joint cost for deteriorating items with multiple-lot-size deliveries. Journal of the Chinese Institute of Industrial Engineers, 18(1): 109-119

Wu, Z., Choi, T.Y. (2005) Supplier-supplier relationships in the buyer-supplier triad: Building theories from eight case studies. Journal of Operations Management, 24(5) 27-52

Yang, P.C., Wee, H.M. (2000) Economic order policy of deteriorated items for vendor and buyer: An integral approach. Production Planning and Control Management, 16(6) 455-463

Yang, P., Wee, H. (2003) An integrated multi-lot-size production inventory model for deteriorating item. Computers & Operations Research, 30(5): 671-682

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Published

2011-03-01

Issue

Section

Research Articles