  Vehicle routing problems, a comprehensive problem category originated from
the seminal Chinese Postman Problem (first investigated by Chinese
mathematician Mei-Gu Guan), entail strategic and tactical decision making for
efficient scheduling and routing of vehicles. While Chinese postman problem is
aimed at finding the minimum length cycle for a single postman, the broader
challenges encompass scenarios with multiple postmen. Making cost-effective
decisions in such cases depends on various factors, including vehicle sizes and
types, vehicle usage time, road tax variations across routes, and more. In this
work, we delve into a class of such problems wherein Bell nonlocal correlations
provide advantages in optimizing the costs for non-communicating postmen, and
thus establish a nascent utilization of quantum entanglement in traffic routing
problem. Our investigation unveils promising applications for nonlocal
correlations within combinatorial optimization and operational research
problems, which otherwise have predominantly been explored within the quantum
foundation and quantum information theory community.
