I don't think LP can solve it. We are to maximize c, not minimize c.
The formulas we have are:

|x(i)-x(j)| >= c for all i and j
r1(i) <= x(i) <= r2(i) for all i
The first inequality actually is combination of two linear equalities: x(i)
- x(j) >= c or x(i) - x(j) <= -c. Notice the relation of the two is "or",
and we cannot put them together to get a system of linear inequalities.
2009/10/21 Dave <[email protected]>

>
> This is a linear programming problem. The way you formulate the
> problem depends on the capabilities of the linear programming software
> you have.
>
> Basically, you want to
> minimize c
> by finding x(1) to x(n) such that
>
> |x(i)-x(j)| <= c for all i and j
> r1(i) <= x(i) <= r2(i) for all i
>
> Dave
>
> On Oct 5, 9:22 am, monty 1987 <[email protected]> wrote:
>  > We have to locate n points  on the x-axis
> > For each point xi
> >                             the x co-ordinate of it lies between a range
> > [r1i,r2i]
> > Now we have to decide the location of points such that
> >         minimum { distance between any two points } is maximum.
> >
> > Any answer is welcomed.
> >
>


-- 
     此致
敬礼!

                                                林夏祥

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