northwest corner rule

简明释义

西北角法则[运输问题]

英英释义

The northwest corner rule is a method used in transportation problems to find an initial feasible solution by starting from the northwest corner of a cost matrix and allocating resources until all supply and demand constraints are satisfied.

西北角法是一种在运输问题中用于找到初始可行解的方法,方法是从成本矩阵的西北角开始分配资源,直到满足所有的供应和需求约束。

例句

1.In transportation logistics, the northwest corner rule 西北角法则 is often utilized to determine the initial feasible solution for shipping costs.

在运输物流中,northwest corner rule 西北角法则 常用于确定运输成本的初步可行解。

2.After applying the northwest corner rule 西北角法则, we need to check if the solution is optimal.

应用 northwest corner rule 西北角法则 后,我们需要检查解决方案是否最优。

3.Using the northwest corner rule 西北角法则 provides a systematic approach to solving transportation problems.

使用 northwest corner rule 西北角法则 提供了一种系统的方法来解决运输问题。

4.The northwest corner rule 西北角法则 helps in minimizing transportation costs by allocating resources efficiently.

通过有效分配资源,northwest corner rule 西北角法则 有助于降低运输成本。

5.When applying the northwest corner rule 西北角法则, start from the top-left cell of the cost matrix.

在应用 northwest corner rule 西北角法则 时,从成本矩阵的左上角单元格开始。

作文

The concept of the northwest corner rule is an essential technique used in transportation and logistics, particularly in solving transportation problems. This method provides a systematic way to determine the initial basic feasible solution for a transportation model. The main goal of this approach is to minimize the total transportation cost while satisfying the supply and demand constraints of the involved entities. Understanding the northwest corner rule can significantly enhance one's ability to manage resources effectively and optimize operations in various fields, including supply chain management, economics, and industrial engineering.To begin with, the northwest corner rule gets its name from the position of the first cell in a transportation table, which is located at the top-left corner or the 'northwest' corner. In this table, rows typically represent the supply points, and columns represent the demand points. The process starts by allocating as much as possible to the northwest corner cell, which corresponds to the first supply and demand pair. After making this allocation, the supply and demand values are adjusted accordingly. If either the supply or demand reaches zero, the corresponding row or column is crossed out, and the focus shifts to the next available cell either directly below or to the right.The steps involved in applying the northwest corner rule are straightforward. First, identify the northwest corner cell of the transportation tableau. Allocate the maximum possible amount to that cell without exceeding the supply or demand. Next, adjust the remaining supply and demand values. If either value becomes zero, eliminate that row or column, and then move to the next cell in the direction of the remaining supply or demand. Repeat this process until all supplies and demands are satisfied.One of the advantages of using the northwest corner rule is its simplicity. It is easy to understand and implement, making it an excellent choice for beginners in operations research. However, it is important to note that while the northwest corner rule provides a feasible solution, it does not guarantee that this solution will be optimal. Therefore, after applying this rule, further optimization methods like the stepping stone method or the MODI method may be necessary to find the most cost-effective solution.In practical applications, the northwest corner rule can be seen in various industries. For example, a company that needs to distribute products from multiple warehouses to different retail locations can use this method to determine the initial distribution plan. By applying the northwest corner rule, the company can quickly identify how much product to send from each warehouse to meet the demand at each retail location while keeping transportation costs in check.In conclusion, mastering the northwest corner rule is vital for anyone involved in logistics and transportation planning. Its straightforward approach allows for quick calculations and serves as a foundation for more complex optimization techniques. As industries continue to evolve and the demand for efficient resource management grows, understanding methods like the northwest corner rule will remain crucial for success in the field. By integrating this rule into their operations, businesses can enhance their decision-making processes and improve overall efficiency.

“西北角法则”是运输和物流中使用的一种基本技术,特别是在解决运输问题时。这种方法提供了一种系统化的方式来确定运输模型的初始基本可行解。该方法的主要目标是在满足相关实体的供需约束的同时,最小化总运输成本。理解“西北角法则”可以显著提高一个人有效管理资源和优化各个领域(包括供应链管理、经济学和工业工程)的能力。首先,“西北角法则”得名于运输表中第一个单元格的位置,即位于左上角或“西北”角。在这个表格中,行通常代表供给点,而列代表需求点。该过程从向西北角单元格分配尽可能多的资源开始,该单元格对应于第一个供需对。在进行此分配后,相应地调整供给和需求值。如果供给或需求中的任何一个达到零,则相应的行或列被划去,然后将焦点转向下一个可用单元格,无论是直接在下面还是在右侧。应用“西北角法则”的步骤很简单。首先,识别运输表的西北角单元格。在不超过供给或需求的情况下,向该单元格分配最大可能的数量。接下来,调整剩余的供给和需求值。如果任何一个值变为零,则消除该行或列,然后移动到剩余供给或需求方向上的下一个单元格。重复此过程,直到所有供给和需求得到满足。使用“西北角法则”的一个优点是其简单性。它易于理解和实施,使其成为运筹学初学者的绝佳选择。然而,需要注意的是,虽然“西北角法则”提供了一个可行解,但并不保证该解是最优的。因此,在应用此规则后,可能需要进一步的优化方法,如跳跃石法或MODI法,以找到最具成本效益的解决方案。在实际应用中,“西北角法则”可以在各个行业看到。例如,一家公司需要将产品从多个仓库分配到不同的零售地点,可以使用这种方法来确定初步分配计划。通过应用“西北角法则”,公司可以快速识别从每个仓库发送多少产品,以满足每个零售地点的需求,同时控制运输成本。总之,掌握“西北角法则”对任何参与物流和运输规划的人来说都是至关重要的。它的简单方法允许快速计算,并为更复杂的优化技术奠定基础。随着行业的不断发展和对高效资源管理的需求增长,理解像“西北角法则”这样的办法将仍然对成功至关重要。通过将这一规则整合到他们的运营中,企业可以增强决策过程,提高整体效率。

相关单词

northwest

northwest详解:怎么读、什么意思、用法