Combinatorial optimization

1-center problem

The 1-center problem, also known as minimax problem or minmax location problem, is a classical combinatorial optimization problem in operations research of facilities location type. In its most general case the problem is stated as follows: given a set of n demand points, a space of feasible locations of a facility and a function to calculate the transportation cost between a facility and any demand point, find a location of the facility which minimizes the maximum facility-demand point transportation cost. There are numerous particular cases of the problem, depending on the choice of the locations both of demand points and facilities, as well as the distance function. A simple special case is when the feasible locations and demand points are in the plane with Euclidean distance as transportation cost (planar minmax Euclidean facility location problem, Euclidean 1-center problem in the plane, etc.). It is also known as the smallest circle problem. Its generalization to n-dimensional Euclidean spaces is known as the smallest enclosing ball problem. A further generalization (weighted Euclidean facility location) is when the set of weights is assigned to demand points and the transportation cost is the sum of the products of distances by the corresponding weights. Another special case, the closest string problem, arises when the inputs are strings and their distance is measured using Hamming distance. The 1-center problem can be restated as finding a star in a weighted complete graph that minimizes the maximum weight of the selected edges.The corresponding problem of minimizing the maximum weight of a path between two selected vertices, in place of a star, is called the minimax path problem. (Wikipedia).

Video thumbnail

9 Center of Mass 3

Center of Mass Problem, part 1.

From playlist PHY1505

Video thumbnail

9 Center of Mass 2

Center of mass example problem, part 1

From playlist PHY1505

Video thumbnail

Center of Mass in a 1 and 2 Dimensional System

If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage www.YouTube.com/Profrobbob In this lesson I define and discuss the difference between Mass and Force, Moment about the origin in a 1 dimensional system, Moment about the x

From playlist Calculus 2

Video thumbnail

How to Compute a One Sided limit as x approaches from the right

In this video I will show you How to Compute a One Sided limit as x approaches from the right.

From playlist One-sided Limits

Video thumbnail

Moments and Center of Mass 2 - Point Masses in the Plane

Calculus: We consider moments and center of mass for a system of point masses in the plane. Three equations are given, and an example is computed.

From playlist Calculus Pt 4: Applied Integration

Video thumbnail

9 Center of Mass 1

Using calculus to determine the center of mass.

From playlist PHY1505

Video thumbnail

Center of Math - Problem of the Week

For the full problem statement and solution visit our blog https://centerofmathematics.blogspot.com/2021/09/alonaugp3.html Also check out our website at: http://www.centerofmath.org

From playlist Center of Math: Problems of the Week

Video thumbnail

Center of Mass(Center of Gravity) Two Dimensional Case

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Center of Mass(Center of Gravity) Two Dimensional Case

From playlist Calculus

Video thumbnail

Center of Math - Problem of the Week

For the full problem statement and solution visit our blog https://centerofmathematics.blogspot.com/2021/09/jasonaugp4.html Also check out our website at: http://www.centerofmath.org

From playlist Center of Math: Problems of the Week

Video thumbnail

Evolutionary Approach to Clustering by Ujjwal Maulik

Program Summer Research Program on Dynamics of Complex Systems ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE : 15 May 2019 to 12 July 2019 VENUE : Madhava hall for Summer School & Ramanujan hall f

From playlist Summer Research Program On Dynamics Of Complex Systems 2019

Video thumbnail

Worldwide Calculus: Centers of Mass

Lecture on 'Centers of Mass' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Multivariable Integrals

Video thumbnail

The Ellipse

👉In this video I work through a complete lesson like I would be teaching inside of the classroom. These are the same slides and examples I use to teach my students all about the ellipse. 👏SUBSCRIBE to my channel here https://bit.ly/SubscribeMcLoganYT 🤯Survive Math Class Cheatsheet - htt

From playlist Pc - In the classroom

Video thumbnail

Gravity: Newtonian, post-Newtonian, Relativistic (Lecture 2) by Clifford M Will

DATES Monday 25 Jul, 2016 - Friday 05 Aug, 2016 VENUE Madhava Lecture Hall, ICTS Bangalore APPLY Over the last three years ICTS has been organizing successful summer/winter schools on various topics of gravitational-wave (GW) physics and astronomy. Each school from this series aimed at foc

From playlist Summer School on Gravitational-Wave Astronomy

Video thumbnail

Lec 02. Cartesian Formulas and Circles College Algebra with Dennis Allison

See full course at: https://cosmolearning.org/courses/college-algebra-pre-calculus-with-dennis-allison/ Video taken from: http://desource.uvu.edu/videos/math1050.php Lecture by Dennis Allison from Utah Valley University.

From playlist UVU: College Algebra with Dennis Allison | CosmoLearning Math

Video thumbnail

Equation of Circle Given 2 Tangent Lines and a Point

Geometric set up 1:15 Steps required given at 5:36 and Example starts at 9:25 Check out www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

From playlist Analytical Geometry

Video thumbnail

Worldwide Calculus: Centers of Mass and Moments

Lecture on 'Centers of Mass and Moments' from 'Worldwide Integral Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Applications of Integration

Video thumbnail

Center of Mass of an Irregular Object

How to find the center of mass of an irregularly shaped, flat object. Want Lecture Notes? https://www.flippingphysics.com/center-of-mass-irregular-object.html This is an AP Physics 1 topic. 0:00 Intro 0:08 The problem 0:57 Translating the problem 2:52 Area instead of mass 4:42 Solving th

From playlist Center of Mass - AP Physics 1

Video thumbnail

Physics - Mechanics: Finding the Center of Mass (3 of 4) Odd-Shaped Object

Visit http://ilectureonline.com for more math and science lectures! In this first of the four part series I will show you how to find the center of mass of an ill-regular, odd shaped object.

From playlist MOST POPULAR VIDEOS

Video thumbnail

Calculating the Center of Mass of a System of Particles

Three point objects are located at various locations on a Cartesian coordinate system. Mass 1, with a mass of 1.1 kg, is located at (1.0,1.5) m. Mass 2, with a mass of 3.4 kg, is located at (3.0,1.0) m. Mass 3, with a mass of 1.3 kg, is located at (1.5,2.5) m. Where is the center of mass o

From playlist Center of Mass - AP Physics 1

Related pages

Combinatorial optimization | Closest string | Hamming distance | String (computer science) | Path (graph theory) | Complete graph | Star (graph theory) | Euclidean space | Operations research | Geometric median