If there are a total of X possible cities to travel to, but our salesman only has to visit a fixed number of them Y<X, how do we choose the Y cities to travel to and the order? Has this problem been studied and/or does it have a formal name? Appreciate any references or real-world applications of this problem.
2026-03-31 06:41:50.1774939310
Traveling Salesman Problem where not all cities need to be visited
463 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in OPTIMIZATION
- Optimization - If the sum of objective functions are similar, will sum of argmax's be similar
- optimization with strict inequality of variables
- Gradient of Cost Function To Find Matrix Factorization
- Calculation of distance of a point from a curve
- Find all local maxima and minima of $x^2+y^2$ subject to the constraint $x^2+2y=6$. Does $x^2+y^2$ have a global max/min on the same constraint?
- What does it mean to dualize a constraint in the context of Lagrangian relaxation?
- Modified conjugate gradient method to minimise quadratic functional restricted to positive solutions
- Building the model for a Linear Programming Problem
- Maximize the function
- Transform LMI problem into different SDP form
Related Questions in TERMINOLOGY
- The equivalent of 'quantum numbers' for a mathematical problem
- Does approximation usually exclude equality?
- Forgot the name of a common theorem in calculus
- Name of some projection of sphere onto $\mathbb{R}^2$
- What is $x=5$ called??
- Is there a name for this operation? $f(a, b) = a + (1 - a)b$
- When people say "an algebra" do they always mean "an algebra over a field"?
- What is the term for "in one $n$-space"?
- The product of disjoint cycles
- What about the 'geometry' in 'geometric progression'?
Related Questions in DATA-ANALYSIS
- Calculating an average of other averages
- When extrapolating for projections, how do you know which function-form to use?
- Log base e versus log base 10 for semilog plot, how do I recognize the type of curve my data fits?
- Book Recommendation for Analyzing Experimental Results
- MLE of non-numerical variables?
- How to tell when a data series is a normal distribution
- Counting occurrences of elements from data stream
- Based on the coinmarket cap api, how do they calculate the bitcoin percent change
- Statistical analysis of study with categorical and numerical variables
- If I divide one column of a matrix by another, do I get new "information"?
Related Questions in DISCRETE-OPTIMIZATION
- Optimization - If the sum of objective functions are similar, will sum of argmax's be similar
- Simultaneously multiple copies of each of a set of substrings of a string.
- Do these special substring sets form a matroid?
- What does it mean to dualize a constraint in the context of Lagrangian relaxation?
- How to solve this binary optimization problem?
- What exactly the Ellipsoid method does?
- Give the cutting-plane proof of $\sum\limits_{i,j = 1}^4 x_{ij} \leq 9$.
- Relation with the perfect partition problem and the single machine task schedule problem
- What is the name of following optimization problem and algorithms to solve them
- Integrality gap of maximum weighted clique
Related Questions in OPERATIONS-RESEARCH
- correctness for minimizing average completition time for scheduling problem with release times
- the effect of an operation
- Reasonable/unreasonable exponentially distributed interarrival (service) times
- Optimally allocating inventory, does this problem have a name?
- Linear Programming: What is the rationale behind the Gauss Jordan Row operations we do after determining the leaving and entering variables?
- Linear programming: Converting nested absolute value
- How to find infinite optimal solutions for linear program?
- Ways to speed up solving an LP with Google's ortools
- A Mixed Integer Model with Mixed Integer sub-Problems
- Does zero considered as a leaving variable in simplex method?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
Yes, search for optimal subtour problem, orienteering problem, and prize-collecting TSP. This problem appears as a subproblem in column-generation approaches to the vehicle routing problem.