On Wed, 31 Aug 2016, usa usa wrote:

The problem is that the number of constraints of   decVarK_i for i=1 to L
and L can be very large, e.g. 100,0000.

I think that the given constraints were not what you really intended.

It means that it will have 100,000 constraints in the LP, which I want to
avoid.



How to combine them so that I can reduce the size of the LP model meanwhile
keeping all constraints satisfied ?

In general, you can't.
The usual solution is iterative LP.
Solve the problem with a subset of constraints.
If the solution satisfies all your constaints, you are done.
Otherwise select one or more violated constraints and resolve.
Rinse and repeat until you have a solution or fatigue sets in.
The tricky part is in the constraint selection.
Unless you are doing something silly like working from an explicit list,
it will be problem-specific.

--
Michael   [email protected]
"Sorry but your password must contain an uppercase letter, a number,
a haiku, a gang sign, a heiroglyph, and the blood of a virgin."
                                                             --  someeecards

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