Q: I have a MCP problem which is going to grow. I have both MILES and PATH,and since PATH costs extra, I am assuming it is in some sense better. I have not been able to find anything clear in the documentation about their relative merits. Running the small model I have now produces exactly the same solution, and in approximately the same time.The model is soon to be shared with other users, and I don’t know if they should buy PATH. Any experience or pointers to relevant literature would be appreciated.
There is a document, which describes some of the differences between PATH and MILES.
A comparison of several MCP solvers, including MILES and PATH, is available in S.C. Billups, S.P. Dirkse, and M.C. Ferris, “A Comparison of Large Scale Mixed Complementarity Problem Solvers”, Computational Optimization and Applications, Vol. 7, pp 3-25, 1997.