need to write a temporal constraint

[mohamed mady]

Hi all,

I have some troubling with the following problem:

I have a set of aircraft and i need to construct intervals which contains the overlapped aircraft, such intervals are defined starting from an array like ad:=[9,9:30,10,11,14,15] where each adjacent pairs form an interval, and this interval is formed by two vectors, one of departure time and one of arrival time, so, we have:

set F:= flight1 flight2 flight3;

param a{i in F}; # arrival time of the flights

a{i in F}:=      

flight1 9

flight2 10

flight3 11;

param d{i in F}; # departure time of the flights

a{i in F}:=      

flight1 9:30

flight2 15

flight3 14;

the first thing i need is to union the two array, meanig a and d, in a new vector, ad, such that the vector is ordered in ascending order.

the second step is once i have the new array ad, i need to define intervals, like:

I1 that has extreme time 9 and 9:30, I2 that has extreme time 9:30 and 10 and so on.

Next step i need to make a condition such that if that condition is true that the i-th flight,Fi, need to be in the j-th interval, Ij.

Once a have all interval i need only to keep intervals with more than one element.

thank you for the attention

[AMPL Google Group]

For some of the concepts you descripbe, it would be very helpful to have more explanation:

need to make a condition

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Robert Fourer

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