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Timeline for Continuous optimization

Current License: CC BY-SA 2.5

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Aug 20, 2010 at 23:26 comment added user3875 or-exchange.com/questions/632/iterated-investment
Aug 20, 2010 at 23:16 history edited user3875
edited tags
Aug 19, 2010 at 23:14 comment added user3875 I meant continuous as "repeated" or "iterated". I will ask at or-exchange. I didn't realize that existed.
Aug 19, 2010 at 22:36 comment added Gilead (1) The thing is, in the second case (where $m_i$ are nonnegative integers), I can't see how you would get a continuous optimization problem. Unless you have another definition of continuous. (2) If reinvestment is allowed, then the problem more difficult, because now each $m_{i}$ is no longer a single value, since decisions can change over time. It sounds like what you might want to look into the "continuous-time scheduling" literature. Mind you, you'll still end up with a discrete optimization problem. (3) Try asking this question at or-exchange.com.
Aug 19, 2010 at 22:19 comment added user3875 Also I know about operations research but from what I know of OR it deals with "one-shot" type problems. I'm asking if there is some more specific sub-field that deals with multiple decisions. Maybe I will look at iterated one-player games.
Aug 19, 2010 at 22:13 history edited user3875 CC BY-SA 2.5
clarified that re-investment is allowed.
Aug 19, 2010 at 22:11 comment added user3875 I should clarify: The challenge in the problem is re-investment: After an asset matures the proceeds may be used to buy more assets of any class. I will edit the post to clarify.
Aug 19, 2010 at 22:09 comment added user3875 Non-negative reals (I allow zero investment in a particular class)
Aug 19, 2010 at 18:37 comment added Gilead @J. Mangaldan: I think that makes sense. I'm more used to $\mathbb{R}_{+}$ for positive reals.
Aug 19, 2010 at 16:16 answer added KalEl timeline score: 1
Aug 19, 2010 at 15:58 comment added J. M. isn't a mathematician Gilead: with the way things are on these sorts of problems, I suppose it means "the set of positive reals."
Aug 19, 2010 at 15:53 comment added Gilead Also to answer your question as to what is the field that studies this topic, I'm not sure what kind of answer you are are looking for, but these types of problems are routinely handled in mathematical programming, operations research, financial mathematics, etc.
Aug 19, 2010 at 15:32 comment added Gilead Forgive my ignorance, but what is $\mathbb{R}^{*}$?
Aug 19, 2010 at 15:26 answer added Gilead timeline score: 1
Aug 19, 2010 at 12:57 history asked user3875 CC BY-SA 2.5