The Network platform allows to investigate networks. Web apps available on the Network platform include: 1) Network optimisation.
Network is a platform hosting web apps capable of utilising network based algorithms and tools for solving real life problems involving networks. Our web apps help to analyse, understand, or optimise the performance of networks
Currently available web apps enable to 1) optimise a network. A presented case study is the optimisation of the service of groups of customers linked to nodes involving delivery of physcal products in a geometry reflecting a city.
Use our web apps in your activities. Consider implementing one of these tools in your project with our support. Contact us for more details.
To better understand networks consider their mathematical representation, underlying technologies and business oriented use cases
In mathematics, a network can be described as a graph consisting of vertices (also called nodes) and edges (also called links or connections). A graph can be directed or undirected, depending on whether the connections between the vertices have a direction. Mathematical analysis of networks deals with studying the properties of these structures and the algorithms that operate on them.
Basic concepts related to networks in mathematics include:
- Graphs: A structure consisting of vertices and edges.
- Degree of a vertex: The number of edges incident to a vertex.
- Path: A sequence of vertices connected by edges.
- Connected graph: A graph in which there is a path between any two vertices.
- Trees: A special type of graph that is connected and acyclic (contains no cycles).
- Flow networks: Graphs in which edges have assigned capacities and flow between vertices is analyzed.
Technologies Based on Networks
Many modern technologies are based on mathematical concepts of networks. Here are a few examples:
- Technologies: TCP/IP protocol, routing, DNS.
- Description: The Internet is a vast computer network consisting of billions of devices (vertices) connected by cables, fiber optics, and radio waves (edges). Mathematical models of networks help optimize data routing, minimize latency, and manage information flow.
- Technologies: Facebook, Twitter, LinkedIn.
- Description: Social media platforms are modeled as graphs where users are vertices and connections (e.g., friendships) are edges. Social network analysis helps discover influential people, analyze information flow, and study group dynamics.
- Technologies: Uber, Lyft, navigation apps (Google Maps, Waze).
- Description: These systems rely on modeling road networks and optimizing travel routes. Graphs representing roads and intersections help find the shortest and fastest routes.
- Technologies: Smart grids, energy management systems.
- Description: Energy networks are graphs where vertices represent power plants, substations, and consumers, and edges are transmission lines. Mathematical models allow for optimizing energy distribution and managing loads.
- Technologies: Smart devices, sensor networks.
- Description: IoT is a network of interconnected devices that communicate and collaborate. Graphs represent the connections between devices, and network analysis helps optimize communication and data processing.
- Technologies: Graph analysis tools (e.g., NetworkX, Gephi), optimization algorithms.
- Description: Various tools and algorithms are used for analyzing and optimizing networks, such as finding the shortest path, maximizing flow, or identifying key vertices.
Mathematical network analysis is applied in many fields, from engineering and computer science to sociology and biology, where network models help understand complex systems and optimize their performance.