This paper examines the complexity of several geometric problems due to unbounded dimension. The problems considered are: (i) minimum cover of points by unit cubes, (ii) minimum cover of points by unit ball% and (iii) minimum number of lines to hit a set of balls. Each of these problems is proven no
On the complexity of the continuous unbounded knapsack problem with uncertain coefficients
β Scribed by Eduardo Conde
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 166 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0167-6377
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β¦ Synopsis
In this paper, a linear-time algorithm is developed for the minmax-regret version of the continuous unbounded knapsack problem with n items and uncertain objective function coefficients, where the interval estimates for these coefficients are known. This improves the previously known bound of O(n log(n)) time for this optimization problem.
π SIMILAR VOLUMES
in the forward equation (see also [13] for the existence of solution to one-dimensional FBSDEs with bounded Lipschitz coe cients and non-degenerate di usion in the forward equation). In [14], Hu and Peng introduced the monotonicity condition, under which the FBSDEs can be solved, and their main idea