A fuzzy random bi-level programming model for three-stage supply chain with dual coordination mechanism

Based on part of the research results of uncertainty theory, this paper, under two conditions of fuzzy random demand and random rate, respectively in-depth investigated the coordination model of three-stage supply chain which dominated by manufacturer and consisted by supplier, manufacturer and retailer. In this paper, we established the optimal strategy model and compiled the hybrid intelligent algorithm to solve this model, using the fuzzy random simulation and enumeration method to find out manufacturer's optimal order quantity, optimal production and optimal R&D investment; supplier's optimal production, optimal participation rates as well as the corresponding profits; retailer's optimal order quantity and the corresponding profit. We get conclusions that when manufacturer and supplier collaboratively research and develop as well as give quantity discounts for retailer, the production volume of supplier and manufacturer has basically reached the upper limit, indicating that production resources are rationally utilized, the optimal value of R&D investment also decline and the participation of supplier plays a role in the promotion of R&D efficiency. This research provides a more scientific decision-making tool for export-oriented enterprises to develop optimal strategies of procurement, production and marketing under the uncertain environment.