Claude agents exceeded the existing best solution by 2.6% on a train scheduling problem and proved its optimality
Anthropic introduces agents to solve a MIPLIB challenge involving off-peak scheduling for 42 trains to reduce peak power demand. In under two hours, the solution lowered peak usage by 2.6% compared to MIPLIB's established optimal timetable, subsequently proving no better schedule exists. The solution method has been submitted to MIPLIB for public verification.
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