simplex algorithm; short-cut method

简明释义

简捷法

英英释义

例句

1.In our operations research class, we learned how to apply the simplex algorithm 单纯形算法 to maximize profit.

在我们的运筹学课程中，我们学习了如何应用 simplex algorithm 单纯形算法 来最大化利润。

2.The simplex algorithm 单纯形算法 is widely used in linear programming to find the optimal solution.

在线性规划中，simplex algorithm 单纯形算法 被广泛用于寻找最优解。

3.Using a short-cut method 捷径方法 can significantly reduce the time needed to solve complex problems.

使用 short-cut method 捷径方法 可以显著减少解决复杂问题所需的时间。

4.By implementing the simplex algorithm 单纯形算法, the company was able to optimize their resource allocation.

通过实施 simplex algorithm 单纯形算法，公司能够优化资源分配。

5.The short-cut method 捷径方法 helped the students complete their assignments faster than usual.

这 short-cut method 捷径方法 帮助学生们比平时更快地完成作业。

作文

The world of optimization is vast and complex, filled with various techniques and methods to solve problems efficiently. Among these techniques, the simplex algorithm is a well-known approach used in linear programming. It provides a systematic method for finding the maximum or minimum value of a linear function subject to a set of linear constraints. The simplex algorithm is particularly valuable because it can handle large-scale problems that would be infeasible to solve by other means. One of the key advantages of the simplex algorithm is its ability to navigate through the feasible region defined by the constraints. The feasible region is essentially the set of all possible solutions that satisfy the given conditions. By moving along the edges of this region, the simplex algorithm identifies the optimal solution without having to evaluate every possible combination of variables. This makes it significantly faster than brute-force methods, which often involve checking every potential solution. In addition to its efficiency, the simplex algorithm also exemplifies what can be referred to as a short-cut method. A short-cut method is any technique that simplifies a process, allowing one to achieve results more quickly or with less effort. In the context of the simplex algorithm, the short-cut method lies in its strategic approach to exploring the solution space. Instead of exhaustively searching all possible solutions, it focuses on vertices of the feasible region, where the optimal solutions are likely to be found. The application of the simplex algorithm extends beyond theoretical mathematics; it has practical implications in various fields such as economics, engineering, and logistics. For instance, businesses often use the simplex algorithm to optimize resource allocation, ensuring that they maximize profits while minimizing costs. By employing this short-cut method, companies can make informed decisions based on quantitative analysis, leading to better outcomes. Moreover, the simplex algorithm can be implemented using software tools, making it accessible to individuals who may not have a strong mathematical background. This democratization of optimization techniques enables a broader range of people to benefit from effective decision-making strategies. As technology continues to advance, the relevance of the simplex algorithm and similar short-cut methods will only increase, paving the way for more efficient problem-solving approaches in an ever-changing world. In conclusion, the simplex algorithm stands out as a powerful tool in the realm of optimization, embodying the principles of efficiency and strategic problem-solving. Its status as a short-cut method highlights the importance of finding clever ways to simplify complex processes. As we continue to encounter increasingly intricate challenges across various domains, mastering techniques like the simplex algorithm will be essential for achieving success. By embracing these methodologies, we can unlock new possibilities and drive innovation forward, ultimately leading to a more optimized future.

优化的世界是广阔而复杂的，充满了各种技术和方法，以高效地解决问题。在这些技术中，单纯形算法是一种在线性规划中广为人知的方法。它提供了一种系统的方法，用于在一组线性约束条件下找到线性函数的最大值或最小值。单纯形算法特别有价值，因为它可以处理大规模的问题，而其他方法可能无法解决。单纯形算法的一个关键优势在于它能够在约束条件定义的可行区域内导航。可行区域本质上是满足给定条件的所有可能解决方案的集合。通过沿着这个区域的边缘移动，单纯形算法识别出最优解，而不必评估每一个可能的变量组合。这使得它比暴力破解方法显著更快，后者通常涉及检查每一个潜在的解决方案。除了效率外，单纯形算法还体现了可以称为捷径方法的概念。捷径方法是任何简化过程的技术，使人们能够更快或用更少的精力达到结果。在单纯形算法的背景下，捷径方法体现在其探索解决方案空间的战略性方法上。它并不穷举地搜索所有可能的解决方案，而是专注于可行区域的顶点，在那里最优解很可能被找到。单纯形算法的应用超越了理论数学；它在经济学、工程学和物流等多个领域具有实际意义。例如，企业经常使用单纯形算法来优化资源配置，确保他们在最小化成本的同时最大化利润。通过采用这种捷径方法，公司可以基于定量分析做出明智的决策，从而导致更好的结果。此外，单纯形算法可以通过软件工具实现，使其对那些可能没有强大数学背景的人更具可及性。这种优化技术的民主化使得更广泛的人群能够受益于有效的决策策略。随着技术的不断进步，单纯形算法和类似的捷径方法的相关性只会增加，为在不断变化的世界中更高效的问题解决方法铺平道路。总之，单纯形算法作为优化领域的强大工具，突显了效率和战略性问题解决的原则。它作为捷径方法的地位强调了寻找聪明的方法来简化复杂过程的重要性。随着我们继续面临日益复杂的挑战，掌握像单纯形算法这样的技术将对取得成功至关重要。通过拥抱这些方法论，我们可以解锁新的可能性，推动创新向前发展，最终引领更优化的未来。