Questions tagged [clustering]
The clustering tag has no usage guidance.
20
questions
2
votes
1
answer
81
views
Clustering optimization problem for categorical data: How to solve?
Problem
Say I have a data set of $n \in \mathbb N$ survey responses to $N \in \mathbb N$ categorically-valued multiple-choice questions, which we denote as
$$
\mathbf X = \{ \mathbf x_j \}_{j = 1}^n \...
- 213
3
votes
3
answers
702
views
An efficient method for zoning bins in a warehouse
Let's assume a warehouse with multiple areas, each including either ground or shelf bins. I want to zone bins in this warehouse such that all bins in a zone are as close as possible. Considering that ...
- 573
1
vote
4
answers
141
views
How to perform clustering of a large number of nodes?
I have a clustering problem with around 400-500 nodes. The edge between any two nodes has a weight (between 0 and 1, 0: can be considered as there is no edge/connection between these two nodes) as ...
- 2,211
3
votes
1
answer
68
views
How to write a constraint to define valid agglomerations of sites?
I am currently attempting to use a MIP to optimize the agglomeration of sites to fit a minimum size.
Take for example the following simplified situation of 9 sites which could be any range of sizes.
...
- 31
2
votes
0
answers
54
views
Optimizing personnel allocation within a fixed period
I am working on an operations optimization problem and am describing the problem below. At first glance, it seems like a mix of vehicle route optimization and a scheduling problem.
The expected ...
prajwalram8
1
vote
0
answers
50
views
Use multicriteria method with clustering
I created a clustering algorithm to determine the optimal number of clusters from a dataset that has information on rural properties. I use hierarchical agglomerative clustering for this. Basically, I ...
- 319
9
votes
1
answer
184
views
A clustering problem with 0 or 1 distances for minimizing the summation of distances
I have a clustering problem with $\{0,1\}$ distances between a set of nodes, which can be stated as follows:
Given: Finite set $\mathbb{X}$, a distance $d(x, y) \in \{0,1\}$ for each pair $(x, y) \in \...
- 489
2
votes
2
answers
188
views
How to perform clustering of two different sets of entities?
I need to perform clustering of two different entities. Lets say we have transmitters and users.
The relation between a transmitters and user is defined by a weight, for example, the weight between ...
- 2,211
4
votes
2
answers
206
views
Optimizing a capacitated clustering problem with Greedy search algorithm
So, I am trying to implement a greedy search algorithm to cluster a number of points. Each point has a specific demand and each cluster shouldn't exceed that demand. Now, when I run it for a smaller ...
- 467
4
votes
1
answer
365
views
How to partition a graph with optimal number of groups?
I have a graph with $N=12$ nodes. Some nodes may not have any edge between them. every edge has a weight. How to find the optimal partitioning of the graph so that total weight in the system is ...
- 2,211
0
votes
1
answer
105
views
How to solve this clustering problem with heuristic or meta-heuristic approach?
I have clustering problem with servers and users. This is different to the one posted in https://math.stackexchange.com/questions/4088441/what-will-be-an-efficient-joint-clustering-solution-to-this-...
- 2,211
4
votes
2
answers
397
views
Any Solution for $k$-means with minimum and maximum cluster size constraint?
I am looking for an efficient approach to $k$-means clustering with minimum cluster size constraints. The clusters are non overlapping, so, one point can belong to only one cluster.
$N$ be the number ...
- 2,211
4
votes
1
answer
79
views
Clustering problem involving multidepots and customers requiring commodities located exclusively in an specific depot
I'm trying to solve a clustering problem that's similiar to a VRP Pickup and Delivery problem with multiple depots and customers.
Each customer demands a commodity that is exclusively found on one ...
4
votes
3
answers
634
views
Clustering points based on a distance matrix
Although I asked this question on stackoverflow to possibly reach a broader audience, I wonder your inputs about this problem. Without giving much research into this, I thought p-center problem ($x_{...
- 1,239
6
votes
2
answers
1k
views
What are some "clustering" algorithms? (but not the type of clustering you're thinking about)
Given a set of $N$ points $\{x\mid x \in \mathbb{R}^D\}$ for some dimensionality $D$ I want a fast algorithm which will give me all unique subsets which satisfy:
$\|x_{i} - x_{j}\|_{D} \leq M$ (all ...
- 433
3
votes
1
answer
202
views
What is the difference between min- cut formulation and (bi) partitioning formulation?
I have a min-cut formulation and a bi-partitioning problem.
The two problems focus on finding the minimal cut value separating the two partitions?
So what are really the differences between the ...
- 413
2
votes
1
answer
121
views
How to design and scale sales territory?
My first naive approach is:
Given N number of salesmen. Cluster an area to be N clusters with almost equal number of clients [1] with some kind of same-size clustering/facility location algorithm
...
- 261
4
votes
1
answer
141
views
Clustering a large ride-matching problem
Background: We are solving a large scale vehicle to person ride-matching problem. The problem is essentially simple (match every person with a vehicle, if possible), yet the problem size is quite ...
- 1,239
11
votes
1
answer
630
views
k-means/k-medoids Clustering Implementation in CPLEX Java
I am trying to model a grouping algorithm as k-means clustering problem, by referring to the general definition as mentioned in Wikipedia.
In my system, I have $N$ nodes that I want to group in $m$ ...
- 534
17
votes
3
answers
940
views
Customer clustering to solve very large-scale VRPs
I am looking for references that used customer aggregation to solve large-scale Vehicle Routing Problems. By aggregation, I mean clustering the customers together and representing them with one node ...
- 683