Introduction to Problem Solving Using a Monte Carlo Spreadsheet Simulation

David S. Greenburg, Dimitra Michalaka, James Righter
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Abstract

At The Citadel, data collection, analysis, and problem solving is taught as part of the technical project management course for junior and senior engineering students. Students are taught how to frame a problem, collect and analyze data, and report analysis results to aid in decision making. Many real world problems have such a broad scope or are so complicated that they resist a purely analytical solution. One technique for analyzing these complex problems is simulation. This paper describes the efforts to introduce students to spreadsheet-based Monte Carlo simulation modeling to support problem solving. Spreadsheet-based simulation has come into relatively widespread use as a methodology supporting studies for a broad range of problem types encountered in technical project management. Students can master spread-sheet-based simulation especially easily, and can expand their skill set by being taught to use real world data sets such as the traffic flow data obtained from the South Carolina Department of Transportation Traffic Polling and Analysis System (TPAS). The instruction introduces students to spreadsheet modeling with excel software and the fundamental aspects of data collection, analysis, and simulation modeling. The instruction aims to provide students with modeling skills to support problem solving. Students benefit from learning to use simulation modeling using Excel, which is familiar and widely available. Students can master spread-sheet-based Monte Carlo simulation, and can expand their skill set by doing so. This paper describes the use of spreadsheet-based Monte Carlo simulation and briefly explores the underlying methodology using Excel to support the instruction.
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使用蒙特卡罗电子表格模拟解决问题导论
在The Citadel,数据收集、分析和解决问题是面向大三和大四工科学生的技术项目管理课程的一部分。学生们被教导如何构建一个问题,收集和分析数据,并报告分析结果,以帮助决策。现实世界中的许多问题都具有如此广泛的范围或如此复杂,以至于无法用纯粹的分析方法解决。分析这些复杂问题的一种技术是模拟。本文描述了向学生介绍基于电子表格的蒙特卡罗仿真建模以支持问题解决的努力。基于电子表格的模拟作为一种支持研究技术项目管理中遇到的各种问题类型的方法,已经得到了相对广泛的应用。学生可以特别容易地掌握基于电子表格的模拟,并且可以通过教授使用真实世界的数据集来扩展他们的技能,例如从南卡罗来纳州交通运输部交通投票和分析系统(TPAS)获得的交通流量数据。该指令向学生介绍电子表格建模与excel软件和数据收集,分析和仿真建模的基本方面。该指导旨在为学生提供建模技能,以支持解决问题。学生从学习使用Excel进行仿真建模中受益,这是一种熟悉且广泛使用的工具。学生可以掌握基于电子表格的蒙特卡罗模拟,并通过这样做扩展他们的技能。本文描述了基于电子表格的蒙特卡罗模拟的使用,并简要探讨了使用Excel来支持指令的基本方法。
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