Questions tagged [clustering]

The tag has no usage guidance.

Filter by
Sorted by
Tagged with
4
votes
2answers
125 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 ...
4
votes
1answer
154 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 ...
0
votes
1answer
79 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-...
4
votes
2answers
154 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 ...
4
votes
1answer
69 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
3answers
250 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_{...
6
votes
2answers
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 ...
3
votes
1answer
69 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 ...
2
votes
1answer
87 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 ...
4
votes
1answer
102 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 ...
11
votes
1answer
406 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 $m$ ...
16
votes
3answers
353 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 ...