Visualizing 3D LP-problems
- To: mathgroup at smc.vnet.net
- Subject: [mg15424] Visualizing 3D LP-problems
- From: Bjorn <Bjorn.Leonardz at hhs.se>
- Date: Wed, 13 Jan 1999 20:57:36 -0500
- Organization: Stockholm School of Economics
- Sender: owner-wri-mathgroup at wolfram.com
Visualizing 3D LP-problems I want to be able to visualize 3D LP-problems (when lecturing to beginners) in a more striking way than by pointing to a corner of the lecture room, saying that the floor can be seen as the xy-plane, the vertical line where the walls meet is the z-axis, and then going on about stretching imaginary pieces of cloth between points on these axes to span the feasible region. * It should possible to have Mathematica display the convex polyhedron that is the boundary of the feasible region of a three variable LP-problem (linear programming problem). * It would then be nice to be able to rotate the polyhedron, to turn it around in various ways so as to get a good feel for what it looks like, where the corner points are etc. * It would then also be possible to have Mathematica display the objective function (a plane) travelling (animation!) towards and eventually reaching the desired extreme value (max/min) as it passes through the optimal corner point(s) just before leaving/entering the feasible region. I'm still a beginner at Mathematica and this is the next thing I want to use it for. In two dimensions I know how to do it and I have seen it done by others. In three dimensions, however, I do not (yet) know how to do it, nor have I been able to find it done by others. Have you? Any suggestions, clues, references are welcome. Regards, Bjorn Leonardz <cblz at hhs.se> Dr. Bjorn Leonardz Associate Professor Stockholm School of Economics http://www.hhs.se