# Questions tagged [optimization]

Questions about problems that entail selecting the best element from some set of available alternatives, and methods to solve them.

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### Optimizing estimator of composed functions when function is known

I have a problem which I'm looking to see if there is literature on: Consider three types of actors, a Director, Aggregator, and Follower. The Director talks to multiple Aggregators, the Aggregator ...
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### Algorithm for finding best combination of elements

Say I have a very large, arbitrary number of variables, each of which I can assign to be type A, B, or C. The types come with expenses: Type A's are the least expensive, and C's are the most ...
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### Looking for an algorithm to solve a specific Vehicle Routing Problem

I am trying to figure out a way to create routes for trucks to complete a list of orders(drops/stops), while minimizing distance traveled. There is only ever 1 company warehouse in the area. The ...
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### Does Rice theorem imply that it is not possible to find out the absolute optimum of a physical process?

One of my friends works for a big oil rafinery. He's in charge of optimising the inputs (volumes, maximum price to pay for crude oil etc.) given a profit. He's telling me there are heuristic ways to ...
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### Is there only one optimal BST?

as i read some material about Optimal BST, i ran into a trouble. for following key i find two optimal BST with Average Cost = 30. 1 optimal BST using Dynamic programming Algorithm and 1 by hand ! ...
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### Is a non-perfect improvement and optimisation?

In real word problems, the influence of multiple not perfectly known factors results in using heuristics instead of mathemacial solutions that calculates a perfect value from only precisly defined ...
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### Sorting tuples with respect to multiple criteria

Given $n$ rows with $k$ columns, is there a storage mechanism/data-structure and/or algorithm that enables dynamic restructuring such that I can get the top $t=\mathcal{O}(1)$ results efficiently? ...
352 views

### Balanced partition problem for N =< 60 and very large sums

I was proposed (in school) to develop an approach to solve optimally the balanced partition problem. I tried the pseudo-linear algorithms but SUM is very large (~1M) and so O(S*N) cant run under ...
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### Global optimization algorithm based on MapReduce

In the field of the intelligent swarm, there are many algorithms can find global optimization, such as Ant Colony Optimization (ACO), particle swarm optimization (PSO). Is there any optimization ...
I was given the following algorithms problem: Suppose you have $n$ cities. Each city $c_i$ has population $p_i$. You want to construct $m \geq n$ schools, where each school can only serve ...
There are $N$ boxes and every box has some weight(non-zero). We start from $Box$ $1$ and move towards the $Box$ $N$ one by one. Now there are 2 option ,either to lift that box or leave it. We want to ...