[FRIAM] Optimization problem

Steven A Smith sasmyth at swcp.com
Fri Sep 20 23:52:31 EDT 2019


Then there are those carefully selected branches from small trees or
large bushes that  can be trimmed to size... watch out for poison oak!

On 9/20/19 7:59 PM, Carl Tollander wrote:
> Welding galvanized steel without proper respirators (even outdoors)
> can kill you.  Research this carefully.
>
> How about some nice thick wall pvc?
>
> Carl
>
> On Fri, Sep 20, 2019, 17:48 Steven A Smith <sasmyth at swcp.com
> <mailto:sasmyth at swcp.com>> wrote:
>
>     Gary -
>
>     I understand better now...
>
>     I definitely agree that the *most* naive eyeballing methods can be
>     excruciatingly wasteful.
>
>     I presume that your conduit length requirements are not precise...
>     that
>     you might be designing them to allow for leaving the window partially
>     open but otherwise not subject to intrusion or compromise?  That seems
>     to complicate the problem but may pose opportunities.  In particular,
>     *I* might be looking for solutions which leave me with a *minimum* of
>     leftover conduit by making them longer than their shortest
>     possibles in
>     some cases.  Or looking at it the other way, even if you don't need to
>     leave the windows open much when "locked" a more complete use of the
>     material might be obtained by relaxing the length a little without
>     compromising security (if a given window can only be opened a few
>     inches
>     for example).
>
>     I will be interested in hearing the results of whatever
>     optimization (or
>     satisficing) method you use yields.
>
>     - Steve
>
>     PS. regarding guerin's solution, an alternate would be to measure as
>     suggested, then cut naively until the remaining spaces are larger than
>     the remaining pieces.  Only *then* does one break out the welder and
>     begin to piece together as-needed.   I don't think these are
>     equivalent.
>       It also occurs to me that *2* pieces of conduit (end to end,
>     unwelded)
>     in a window channel might be *nearly* as effective as a single piece,
>     albeit less elegant?
>
>     > Hey Steve. The actual project is nothing elaborate. My house has a
>     > couple or three dozsen horizontally sliding windows with pretty weak
>     > locks. Since I've had a couple of break-ins in the past, I decided
>     > that the easiest way to shore up security for that aspect of the
>     house
>     > is to just cut short pieces of 3/4 inch conduit to lay
>     horizontally in
>     > the spaces where the windows slide. When I want to open a window, I
>     > will just stand its conduit piece up, and when I want to "lock" it
>     > again, just lay it back horizontally. I asked on FRIAM because
>     instead
>     > of just eyeballing it and having lots of extra (even potentially
>     > useful in the future) pieces left over, I'd rather use my (and
>     > FRIAM's) brain to look at possible ways of optimizing this. Kind of
>     > fun actually putting my mind to something for a change
>     (retirement can
>     > be boring if you're not careful).
>     >
>     > On Fri, Sep 20, 2019 at 5:55 PM Steven A Smith <sasmyth at swcp.com
>     <mailto:sasmyth at swcp.com>> wrote:
>     >> Gary -
>     >>
>     >> I *patently don't* recommend my method, though it does have some
>     >> charms.   I recently was faced with a similar problem to yours
>     where I
>     >> needed to cut and install trim around the perimeter of the room
>     (with
>     >> door openings) I just layed hardwood floor in.
>     >>
>     >> Rather than go into it in detail (I already did that and
>     realized it was
>     >> a TL;DR as usual, so cut it) I will just say that I approach these
>     >> problems as *satisficing* and *constraint* problems rather than
>     >> *optimization*.    Once I had a candidate layout, I simply
>     looked at the
>     >> results and determined that the *waste* was acceptable. 
>      Depending on
>     >> the circumstances I sometimes prefer to have for example, 2 3'
>     leftovers
>     >> rather than 1 5' leftover, other times, vice-versa, depending
>     on how I
>     >> might use said leftovers in some future application (or hedging
>     against
>     >> a mistake in my measuring/cutting).
>     >>
>     >> Care to share what your actual conduit/pipe project is?
>     >>
>     >> - Steve
>     >>
>     >>
>     >>> Thanks for the links, Peter. I will probably use that software or
>     >>> similar, to get a quick solution, then look at the MOOCs.
>     >>>
>     >>> On Fri, Sep 20, 2019 at 2:52 PM Pieter Steenekamp
>     >>> <pieters at randcontrols.co.za
>     <mailto:pieters at randcontrols.co.za>> wrote:
>     >>>> Two possible approaches are:
>     >>>> a) Solve the problem yourself. Use one or a combination of
>     standard algorithms ( eg you mentioned linear programming and
>     greedy algorithms, there are many more of course) and/or your own
>     custom algorithm. If you wish to go this route and want to learn
>     about the subject, I recommend the series of MOOCS by Stanford's
>     Tim Roughgarden https://www.coursera.org/specializations/algorithms
>     >>>> Or, I think yours is probably a knapsack -type problem and
>     the MOOC https://www.coursera.org/learn/discrete-optimization
>     covers that relatively well.
>     >>>> b) But if you just want to get the solution you can use
>     optimization software like
>     https://www.ibm.com/za-en/products/ilog-cplex-optimization-studio
>     (they have a free edition that will be good enough for your
>     application) will solve it for you without you necessarily knowing
>     how the software does it.
>     >>>>
>     >>>> On Fri, 20 Sep 2019 at 21:00, Gary Schiltz
>     <gary at naturesvisualarts.com <mailto:gary at naturesvisualarts.com>>
>     wrote:
>     >>>>> I'd like advice on possible ways to solve the following problem
>     >>>>> (plumbers must surely face this all the time). I need to cut
>     a set of
>     >>>>> metal tubes of varying lengths from standard length (6 meter)
>     >>>>> galvanized conduit stock. The goal is to find the number of
>     tubes I
>     >>>>> need to buy, and the order of cuts to produce the minimum
>     amount of
>     >>>>> leftover, unused tube.  I'm interested in what types of
>     solutions
>     >>>>> people use for similar 1-dimensional problems, e.g. linear
>     >>>>> programming, greedy algorithms, etc. (I've been Googling).
>     I'm only
>     >>>>> looking to cut around 15-25 pieces, so my gut feeling is that an
>     >>>>> exhaustive search of all possible solutions, though probably
>     NP-hard,
>     >>>>> would be feasible to perform. Working programs, as well as
>     libraries
>     >>>>> in any language would be a bonus.
>     >>>>>
>     >>>>> ============================================================
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>     >>
>     >> ============================================================
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>     > ============================================================
>     > FRIAM Applied Complexity Group listserv
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>
>
>     ============================================================
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>     http://friam-comic.blogspot.com/ by Dr. Strangelove
>
>
> ============================================================
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> Meets Fridays 9a-11:30 at cafe at St. John's College
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