Operations Research
运筹学是工业工程的核心基础课程，主要研究如何运用数学模型和优化方法解决复杂的决策问题。课程内容包括线性规划、整数规划、非线性规划、动态规划、网络优化、排队论和决策分析等。学生将学习使用单纯形法、分枝定界法等算法求解各类优化问题，并掌握Lingo、Excel Solver等优化工具的使用。
Operations Research is a core foundational course in industrial engineering that focuses on using mathematical models and optimization methods to solve complex decision problems. Topics include linear programming, integer programming, nonlinear programming, dynamic programming, network optimization, queuing theory, and decision analysis. Students learn algorithms such as the simplex method and branch-and-bound, and gain proficiency with optimization tools like Lingo and Excel Solver.
选择一家制造企业作为研究对象，收集其产品结构、生产能力、原材料供应和市场需求等数据。建立线性规划模型，在满足设备产能、物料约束和订单需求的条件下，优化生产计划以最大化企业利润。使用Lingo或Python求解模型，并进行灵敏度分析，讨论关键参数变化对最优解的影响。
Select a manufacturing enterprise as the research subject and collect data on product structure, production capacity, raw material supply, and market demand. Develop a linear programming model to optimize the production plan for maximum profit while satisfying equipment capacity, material constraints, and order requirements. Solve the model using Lingo or Python, conduct sensitivity analysis, and discuss the impact of key parameter changes on the optimal solution.