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所在平台: Coursera |
课程主页: https://www.coursera.org/learn/operations-research-modeling
课程评论：没有评论
课程名称：运筹学（1）：模型与应用 课程概述：运筹学是一个应用数学和工程方法研究商业与管理、经济学、计算机科学、土木工程、工业工程等领域中的优化问题的学科。该课程介绍了商业世界中各种优化问题的框架和思想，重点在于如何将实际业务问题转化为可供计算机解决的数学模型。 课程大纲： 1. 课程概述：介绍运筹学的基本概念及其简史，以及数学规划如何用于解决现实商业问题。 2. 线性规划：讲解线性规划（LP）作为优化问题的重要方法，适用于生产、库存、人员排班等多种决策。 3. 整数规划：探讨在某些变量存在整性约束的优化问题时，如何利用整数规划（IP）来解决，如设施选址、机器调度和车辆路径问题。 4. 非线性规划：分析许多实际问题涉及非线性的情况，如定价、库存和投资组合优化，并介绍非线性规划（NLP）用于建模及求解的方法。 5. 案例研究：人员调度：以一家公司为例，介绍如何应用运筹学进行客户服务代表的排班，以最小化人员短缺的总量，包括问题陈述、运筹学研究过程、整数规划建模和结果展示。 6. 课程总结与未来方向：课程最后一讲对所学内容进行总结，并展望未来可能学习的内容。 该课程为希望在商业与管理领域中应用运筹学的学员提供了坚实的基础。
Name:Course Overview
Description:This lecture gives students an overview of what they may expect from this course, including the fundamental concept and brief history of Operations Research. We will also talk about how mathematical programming can be used to solve real-world business problem.
Name:Linear Programming
Description:Linear programming (LP) is one of the most important method to achieve the outcome of optimization problems. We can use LP models for various decisions, including production, inventory, personnel scheduling, etc.
Name:Integer Programming
Description:In many practical areas, some of the optimization problems occur with integrality constraints imposed on some of the variables. Facility location, machine scheduling, and vehicle routing are some examples. Integer Programming (IP) provides a mathematical way to solve these problems.
Name:Nonlinear programming
Description:In the real life, many problems involve nonlinearities. Examples include pricing, inventory, and portfolio optimization. For such problems, we may use Nonlinear Programming (NLP) to formulate them into models and solve them.
Name:Case Study: Personnel Scheduling
Description:In this lecture, we introduce a real business case that has been solved with Operations Research by the instructor. The problem is for a company to schedule its customer service representatives to minimize the total amount of staff shortage. We will demonstrate the problem, process of conducting an OR study, integer programming formulation, and result.
Name:Course Summary and Future Directions
Description:In the final lecture of this course, we will summarize what we have learned. We will also preview what we may learn in future courses.
Operations Research (OR) is a field in which people use mathematical and engineering methods to study optimization problems in Business and Management, Economics, Computer Science, Civil Engineering, Industrial Engineering, etc. This course introduces frameworks and ideas about various types of optimization problems in the business world. In particular, we focus on how to formulate real business problems into mathematical models that can be solved by computers.
