[Help-glpk] Problem to model machine stops

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Hello, i'm writing a program using glpk. I would like to find the start of task.
Tasks use different machine M1, M2..., already defined.
My lp is very easy :
Xi : start of task i
Min sum(Xi)
Task have a lot of constraint like :
Xi + di(duration) <= Xj
Xi + di = Xj + dj
...
I have a problem to write new constraint : Machine have a list of stops
M1 is stopped between S1..S2, S3..S4,..
M2 is stopped between...
How can I do to include machine in my model ?

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