Juniper.jl
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Improved Search Procedures
Implement some of form of LDS. A natural first choice would be to use the Pseudo Cost values for defined the branching order.
A natural choice is to use a feasible solution to guide the LDS. You might also consider using the Activity metric for variable ordering instead of PseudoCost.
One can also consider DFS with a failure limit, which results in an LNS-like search.