Decision making of a village supply chain model under fuzzy reasoning
研究了乡村供应链中考虑抛物线需求函数的库存模型，用模糊随机变量处理需求和采购价格的不确定性，通过α-β割对偶方法求解最优订货量、售价和周期，以最大化利润。
This article deals with the novel approach of solving a village supply chain model (hut inventory) studied in all rural areas. First of all, we develop a crisp mathematical model considering a parabolic demand function in the entire inventory process during the day time of approximately 10 h. At the peak of the business hours, the demand of the commodities becomes high and then it began to fall down and finally becomes zero, if some of the excess amount exist after the end of the day then it would be used for lost sale/exhaust under special rebate. The objective of the research is to find the actual optimal order quantity, optimal unit selling price and the optimal cycle time so as to maximise the overall system profit as well as the reduction of system cost. The unit selling price is set through the negotiation of the purchaser and the seller followed by a bargaining function. The demand rate of the customers and the purchasing price of the selling items by the retailer (seller) per unit item are assumed to the fuzzy stochastic variables. To solve the model, the concept of duality has been developed based on α-cuts and its dual β-cuts of fuzzy numbers. The numerical result shows that the discount model has the capability to achieve the higher per capita profit return 58.42% (cycle time 6.76 h, order quantity 251.19 kg) for lower investment of the retailer, but it attains maximum 65.94 % (cycle time 7.95 h, order quantity 312.96 kg) per capita profit return with respect to the all-items exhaust and that for partial item’s sale the per capita profit return reaches to 43.30 % (cycle time 10.50 h, order quantity 431.46 kg) all the time. However, the comparative analysis and graphical illustrations have been discussed to show the actual novelty of the proposed approach.