関連する実験動画

大規模な非対称な旅行販売員問題の正確な解決方法

D L Miller, J F Pekny

    Science (New York, N.Y.)
    |February 15, 1991
    PubMed
    まとめ

    旅行販売員問題 (TSP) は,複雑な最適化課題です. 最近の方法は,大規模な問題に対して有望な結果を示していますが,いくつかのケースは最適に解決することが困難です.

    関連する概念動画

    Gaussian Elimination: Problem Solving01:30

    Gaussian Elimination: Problem Solving

    Systems of linear equations in several variables are pivotal in modeling complex scenarios involving multiple unknowns and constraints. Such systems are widely used in various fields to represent relationships where several conditions must be simultaneously satisfied. Each variable in the system corresponds to an unknown quantity, while each equation imposes a linear constraint, leading to a structured approach for analyzing and solving real-world problems.A system of three equations with three...
    Optimization Problems01:26

    Optimization Problems

    Optimization problems often involve identifying maximum or minimum values under specific constraints. A well-known example is determining the longest horizontal pipe that can be moved around a right-angled corner, where a 3-meter-wide hallway meets a 2-meter-wide hallway. This scenario, common in architectural design and industrial transport, can be understood conceptually through geometric and trigonometric reasoning.To visualize the problem, consider the pipe as a straight line that touches...
    Theorems of Pappus and Guldinus: Problem Solving01:12

    Theorems of Pappus and Guldinus: Problem Solving

    Pappus and Guldinus's theorems are powerful mathematical principles that are used for finding the surface area and volume of composite shapes. For example, consider a cylindrical storage tank with a conical top. Finding the surface area or volume can be challenging for such complex shapes. These theorems are particularly useful in calculating the volume and surface area of such systems. Here, the cylindrical storage tank with a conical top can be broken down into two simple shapes: a cylinder...
    Lagrange Multipliers: Problem Solving01:30

    Lagrange Multipliers: Problem Solving

    A silo with a cylindrical base, flat bottom, and hemispherical roof is a common design in agricultural and industrial storage due to its structural efficiency and ease of construction. Optimizing its dimensions to maximize storage capacity for a given amount of material—i.e., a fixed surface area—is a classic problem in applied calculus and engineering design. The key parameters are the radius r of the base and the height h of the cylindrical section.The total volume of the silo is obtained by...
    The Distance Formula01:20

    The Distance Formula

    In geometry, measuring the direct distance between two points on a plane is essential in various practical and theoretical applications. Whether in navigation, engineering, or computer graphics, determining the shortest path between two locations involves using the distance formula. This formula is derived from the Pythagorean Theorem, which relates the lengths of the sides of a right triangle. On a coordinate plane, the horizontal and vertical distances between two points serve as the legs of...
    Biot-Savart Law: Problem-Solving00:59

    Biot-Savart Law: Problem-Solving

    The magnitude and direction of a magnetic field created by a steady current can be calculated using the Biot-Savart law.
    Consider a mobile phone battery bank as a source of steady current, which flows through the wire connected between the two. What is the magnitude of the magnetic field created by this current at a field point P?
    To estimate the magnitude of the total magnetic field, we first consider a small current element of length dl, at a distance r from the field point. Now the following...