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所在平台: Udemy |
课程主页: https://www.udemy.com/course/operational-research-optimization-and-decision-making/
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**课程概览：运筹学：优化与决策** 本课程深入探讨运筹学（Operational Research, OR），这是决策与优化的科学。学员将学习关键的运筹学技术，包括指派问题、运输问题、项目网络分析、决策论以及排队论。通过实际应用，学员将获得解决优化问题和在各行业实施解决方案的实践经验。课程结束后，学员将能系统性地分析问题，制定最优解决方案，并有效促进组织成功。 **课程主要内容：** * **第一部分：运筹学导论** * 介绍运筹学的基本概念、历史及其在不同行业的应用。 * **第二部分：指派问题** * 学习如何运用指派问题技术优化资源分配，包括最小值和最大值问题，以及平衡与非平衡的求解方法。 * **第三部分：运输问题** * 掌握运输问题的求解技巧，优化物流。内容涵盖问题介绍、求解步骤与方法、初始基本可行解（如西北角法、最小成本法、沃格尔法）以及MODI法和最优性检验。 * **第四部分：项目网络分析** * 学习使用网络模型分析和优化项目时间表。关键内容包括项目网络构成、关键路径法（CPM）和计划评审技术（PERT）的应用。 * **第五部分：决策论** * 培养结构化的决策方法。课程将介绍决策论基础、实践问题，并详细讲解决策树的构建与分析。 * **第六部分：排队论** * 通过排队模型优化服务运营。内容包括排队论介绍、排队论特性（如到达率、服务率、排队规则）以及单服务和多服务模型的实际问题解答。 **课程成果：** 学员将能够运用运筹学技术来优化资源配置、改进物流，并做出更明智的决策。通过理论与实践的结合，学员将获得解决制造业、交通运输和服务运营等领域挑战的宝贵工具。
Course IntroductionOperational Research (OR) is the science of decision-making and optimization. This comprehensive course is designed to guide learners through the essential techniques of OR, including assignment and transportation problems, project network analysis, decision theory, and queuing theory. Through practical applications, learners will gain hands-on experience in solving optimization problems and implementing solutions in various industries.By the end of this course, participants will be equipped with the skills to analyze problems systematically, develop optimal solutions, and contribute effectively to organizational success.Section-Wise Curriculum OverviewSection 1: IntroductionUnderstand the foundation of Operational Research.Lecture 1: Course Structure of Operational Research (Preview enabled)Overview of the course content and learning objectives.Lecture 2: Introduction to Operational Research (Preview enabled)Introduction to OR, its history, and its applications in different industries.Section 2: Assignment ProblemLearn to optimize resource allocation using assignment problem techniques.Lecture 3: Introduction to Assignment Problem (Preview enabled)Understand the fundamentals of assignment problems and their relevance.Lecture 4: Application and Method of Solving Assignment ProblemExplore methods for solving assignment problems effectively.Lecture 5-9: Practical Problems for Minimization & Balanced/Unbalanced SumsStep-by-step analysis and solutions for balanced and unbalanced minimization problems.Lecture 10-12: Practical Problems for Maximization SumsPractical application and solutions for maximization problems.Section 3: Transportation ProblemMaster transportation problem-solving techniques to optimize logistics.Lecture 13: Introduction to Transportation ProblemOverview of transportation problems and their importance in logistics.Lecture 14: Steps and Methods of Transportation ProblemDetailed methods to solve transportation problems.Lecture 15-20: Initial Basic Solution MethodsPractical applications of methods like North West Corner, Least Cost, and Vogel's Approximation.Lecture 21-24: MODI Method and Optimality TestAdvanced techniques for testing and achieving optimal solutions.Section 4: Project Network AnalysisAnalyze and optimize project timelines using network models.Lecture 25: Introduction to Project Network AnalysisImportance of project network analysis in operations.Lecture 26-27: Components of Project NetworkLearn about key components like activities, events, and dependencies.Lecture 28-31: Critical Path Analysis (CPM)Techniques to identify the critical path and manage project schedules.Lecture 32-35: Program Evaluation and Review Technique (PERT)Application of PERT for managing uncertainties in project timelines.Section 5: Decision TheoryDevelop structured approaches to complex decision-making.Lecture 36: Introduction to Decision TheoryBasics of decision theory and its role in operational research.Lecture 37-38: Practical Problems of Decision TheoryHands-on practice with decision-making problems.Lecture 39-42: Decision TreesStep-by-step guide to creating and analyzing decision trees.Section 6: Queuing TheoryOptimize service operations using queuing models.Lecture 43: Learning about Queuing TheoryIntroduction to queuing theory and its applications in service operations.Lecture 44-45: Characteristics of Queuing TheoryExplore factors like arrival rate, service rate, and queue discipline.Lecture 46-52: Practical Problems of Single and Multiple Server ModelsStep-by-step solutions for single and multiple server queuing models.ConclusionThis course empowers learners to leverage operational research techniques to optimize resource allocation, improve logistics, and make informed decisions. With a blend of theoretical concepts and practical problem-solving, students will gain invaluable tools to address challenges in diverse fields like manufacturing, transportation, and service operations.
