用计算机游戏的设计和使用补充线性编程学习经验:一级方程式锦标赛游戏
Complementing the Linear-Programming Learning Experience with the Design and Use of Computerized Games: The Formula 1 Championship Game
摘要:
本文档侧重于模拟复杂情况,以在竞争环境中获得优势。我们的目标是设计游戏的特点,教和练习不容易量化的任务,数学建模过程中至关重要的。介绍了一种计算机游戏来练习数学建模过程和优化问题的制定。这场比赛被命名为一级方程式锦标赛,比赛的模型是在计算机模拟平台MoNet中开发的。它类似于某些情况下,车队经理必须做出关键决定,以提高他们的赛车到可行的,最有利的条件。本文介绍了游戏的规则,限制,和五个一级方程式赛道模拟器用于锦标赛的发展。我们提出了几个配方的这种情况下,在优化问题的形式。管理预算,以达到最好的汽车调整,以一套电路,以赢得各自的比赛可以是一种方法。专注于每一场大奖赛预算的最佳分配,然后决定如何使用分配的资金来改进赛车也是正确的方法。一般来说,这些方法之间可能存在一定程度的冲突,因为它们是同一多尺度优化问题的不同方面。因此,我们评估的影响,分配最高优先级的元素,或另一个,当制定的优化问题。研究解决这类优化问题的有效性,是评估专注于某个尺度的优势的一种令人兴奋的方式。本研究的另一条线索是游戏在教学过程中的意义。我们相信,应用一级方程式游戏是一种有效的方法,可以在复杂的系统情况下发现机会,并将其制定为最终提取和具体化所描述的背景下的相关利益。
英文摘要:
This document focuses on modeling a complex situations to achieve an advantage within a competitive context. Our goal is to devise the characteristics of games to teach and exercise non-easily quantifiable tasks crucial to the math-modeling process. A computerized game to exercise the math-modeling process and optimization problem formulation is introduced. The game is named The Formula 1 Championship, and models of the game were developed in the computerized simulation platform MoNet. It resembles some situations in which team managers must make crucial decisions to enhance their racing cars up to the feasible, most advantageous conditions. This paper describes the game's rules, limitations, and five Formula 1 circuit simulators used for the championship development. We present several formulations of this situation in the form of optimization problems. Administering the budget to reach the best car adjustment to a set of circuits to win the respective races can be an approach. Focusing on the best distribution of each Grand Prix's budget and then deciding how to use the assigned money to improve the car is also the right approach. In general, there may be a degree of conflict among these approaches because they are different aspects of the same multi-scale optimization problem. Therefore, we evaluate the impact of assigning the highest priority to an element, or another, when formulating the optimization problem. Studying the effectiveness of solving such optimization problems turns out to be an exciting way of evaluating the advantages of focusing on one scale or another. Another thread of this research directs to the meaning of the game in the teaching-learning process. We believe applying the Formula 1 Game is an effective way to discover opportunities in a complex-system situation and formulate them to finally extract and concrete the related benefit to the context described.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。