Thursday, May 19, 2011

Optimal Spread (2)

Is turns out we also have to distribute x(t)’s such that we follow a non-uniform parameter. In the previous section http://yetanothermathprogrammingconsultant.blogspot.com/2011/05/optimal-spread.html we used a function v(t) = 1 with cumulative function w(t) = t.

In this case we consider a generic parameter v(t), with its cumulative cousin w(t)=w(t-1)+v(t). To trace this function as closely as possible we can use:

spread6

E.g. when we use v(t)=t, then we see:

----     77 PARAMETER result 

              v           x

i1        1.000
i2        2.000
i3        3.000
i4        4.000
i5        5.000       1.000
i6        6.000
i7        7.000
i8        8.000
i9        9.000       1.000
i10      10.000
i11      11.000
i12      12.000       1.000
i13      13.000
i14      14.000       1.000
i15      15.000
i16      16.000       1.000
i17      17.000
i18      18.000       1.000
i19      19.000
i20      20.000       1.000