The partial Lagrange multiplier methods

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Hi All,
Have you ever implemented the sub-gradient algorithms (also called partial Lagrange multiplier methods) in the following links. I did them and even with some improvements but the results were not as expected.
https://publicsectororcourse.wordpress.com/2016/03/29/lagrangian-relaxation/
and in paper "Improving the Efficiency of Stochastic Vehicle Routing: A Partial Lagrange Multiplier Method" https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7273960
I am looking forward to hearing from you.
Many thanks, Thai

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