[b1_ana] A first stab at optimization

[O. A. Rondon]

Here is a first try at an optimizer. It's clear that since the times at
each point are different, the number of cycles is not the same for all
points. Also, there are only three independent points, since the HMS
data is collected  in parallel.

The initial observation is that the errors for the low x point improves
with more shorter cycles, but the high x points get worse. The optimum
is probably a combination of shorter cycles at low x, and 20 h cycles at
high x. The HMS data would also benefit from this scheme.

The table of overhead times in the proposal is somewhat different to the
spreadsheet. There may be an issue with the proposal numbers, or I may
be missing a detail somewhere in the spreadsheet. In any case, the basic
 run plan of 1 cycle/day according to the spreadsheet indicates a
somewhat shorter overhead time than the proposal.

The spreadsheet and a pdf snapshot are here. To use the spreadsheet,
change the number of cycles per day in cell B17, and the number of
anneals per cycle pair in cell D7. To highlight the cells with
calculated values (formulas) and those with constants, press ctrl-F8.
http://twist.phys.virginia.edu/~or/b1/optimizer.ods
http://twist.phys.virginia.edu/~or/b1/optimize.pdf

Feel free to modify the worksheet.

Cheers,

Oscar




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