Technical Whitepaper

Dynamic Regional Routing:
A Data-driven Hybrid Approach

Traditional VRP heuristics fail under real-world dynamic constraints. This paper outlines how Presolve Labs utilizes predictive search-space reduction to integrate seamlessly with regional traffic APIs and deliver double-digit percentage savings in fuel consumption.

1. The Regional Bottleneck

The Capacitated Vehicle Routing Problem with Time Windows (CVRPTW) is notoriously NP-Hard. As enterprise fleets scale beyond 500 delivery points across wide metropolitan and rural areas, standard meta-heuristics (like Tabu Search or Simulated Annealing) struggle to converge on a global optimum within operational timeframes. Logistics dispatchers are often forced to halt solvers early, leaving massive efficiency margins on the table.

2. The Presolve Framework

Instead of treating the routing map as a blank slate for every solve, the Presolve Engine uses a proprietary Deep Reinforcement Learning (DRL) agent trained on historical telemetry and map API data.

  • Predictive Branching: The neural network identifies highly probable optimal edges, shrinking the Mixed-Integer Linear Programming (MILP) search tree by up to 80%.
  • Dynamic Map Integration: The model ingests live regional routing APIs (e.g., OSRM, HERE) as dynamic edge weights, instantly updating the cost matrix along real highways and rural road networks without requiring a full recalculation.
  • Multi-Objective Optimization: Dispatchers can shift Pareto weights in real-time to prioritize pure fuel savings, driver shift constraints, or SLA compliance.

3. Measurable Impact on Fleet Operations

By avoiding local minima and achieving tighter primal-dual bounds, the downstream effects on physical operations are immediate. In a benchmark study of a logistics fleet operating across the Greater Prague and Central Bohemia region (simulated to the right), replacing a standard heuristic stack with the Presolve API yielded transformative results.

Because the engine calculates tighter geographic clustering, avoids overlapping service regions, and adheres strictly to highway infrastructure, the total distance traveled per day drops precipitously. This directly correlates to a massive reduction in diesel/EV energy consumption and fleet wear-and-tear.

Regional VRP (Central Bohemia)

API LIVE
Fetching Regional Routes...
Fleet Alpha (East/North)
Fleet Beta (West/South)

Fig 1. Live API query to OSRM mapping ~25 regional distribution points. The algorithm successfully clusters regions and navigates major highways and rural topologies.

Fleet Efficiency Metrics

Total Fuel Consumption (Gallons/mo)
Standard Solver 84,500
Presolve VRP API 61,200
-27.6% Savings
Time to Optima (< 1% MIP Gap)
Legacy MILP 45 mins
Presolve 4.2 mins