Algorithms for multi-commodity flow problems.
Flowty has built unique IP for large-scale network optimization — fast, exact methods that scale to real-world instances. The technology is available now for acquisition.
Precision. Speed. Scale.
Specialized algorithms exploit network structure to deliver faster solves and clearer decisions than general-purpose approaches.
Precision
Model rich constraints without sacrificing solvability.
Speed
Purpose-built solvers for large-scale network instances.
Scale
Designed for multi-commodity and resource-constrained flows.
Technology
High-performance solvers built for network optimization workloads.
Flowty Core
Mixed-integer programming core optimized for network-structured models.
Read moreMulti-Commodity Flow Solver
Decomposition and column generation to scale across many demands.
Read moreConstrained Shortest Path
Resource-constrained shortest path engines for pricing, routing, and resource constraints.
Read moreResearch
The research behind our technology.
Tree-based formulation for multi-commodity flow
Column generation over source-rooted trees to reduce master size and scale to millions of commodities.
Read the summaryParallel pull labelling for resource-constrained shortest paths
Bucket-level parallelism, dynamic midpoint search, and vectorized dominance checks.
Read the summaryUse Cases
Real-world optimization problems drawn from our solver examples.
Multi-Commodity Flow
Route many origin-destination demands through a capacitated network at minimum cost.
Fixed-Charge Network Design
Open edges with fixed costs while routing flow under capacity limits.
Resource-Constrained Multi-Commodity Flow
Multi-commodity flow with additional resource limits per commodity.
Resource-Constrained Shortest Path Pricing
Resource-constrained shortest paths for column generation and routing.
Vehicle Routing with Time Windows
Time-window constraints, capacity resources, and customer coverage.
Set-Partitioning Assignments
Select paths/shifts that cover all jobs exactly once.
About Flowty
Flowty is an optimization technology company focused on network-structured planning problems in logistics, supply chain, scheduling, and infrastructure.
Acquisition inquiries
Flowty's algorithms, solvers, and surrounding IP are available for acquisition. Get in touch to discuss.
Try the solver: docs.flowty.ai
CVR 39946408