Implementing the Maximum Weighted Matching Algorithm for pgRouting

This project intends to implement a Maximum Weighted Matching algorithm for pgRouting within the OSGeo ecosystem, enabling efficient graph-based optimization for spatial networks. Maximum weighted matching is a fundamental problem that identifies a set of non-overlapping edges with maximum total weight, widely applicable in logistics, vehicle assignment, and supply-demand matching. The implementation will include development of a pgr_maximumWeightedMatching() function with a SQL interface and a high-performance C++ backend leveraging Boost Graph Library or optimized custom routines, integrated seamlessly with existing pgRouting structures. The project will also provide support for weighted graphs, comprehensive documentation, unit testing using pgTap, and performance benchmarking on large-scale and real-world datasets. This addition will enhance pgRouting’s analytical capabilities by introducing advanced matching functionality for transportation and network optimization while adhering to project coding standards.