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I must admit that mathematics is not quit my strongest skill, so I want to ask you from where should I start with a kind of simple problem. Please keep in mind that I'm just a newbie asking things that are not very clear for him.

Let's say I have a room, which is a cube or a rectangular parallelepiped with given dimensions. I need to stick in it cylinders of different sizes in an optimized way. From what I read on the internet for the optimization part I could use lp_solve. At this moment I don't know from where should I start with this problem of linear programming.

Thank you.

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So, you have the dimensions of the room, and the dimensions of the cylinders, and you want to pack as many cylinders as possible into the room? This sounds like a packing problem, and those are generally very hard to solve. –  Rahul Jan 31 '13 at 9:07
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