This paper considers the minmax-regret 1-median problem on a tree network where edge lengths and node weights are uncertain and the uncertainty is characterized by given intervals. Some localization properties for the optimal locations, for both the node-restricted and the unrestricted cases, are de
A Linear Time Algorithm for Computing Minmax Regret 1-Median on a Tree Network
β Scribed by Bhattacharya, Binay; Kameda, Tsunehiko; Song, Zhao
- Book ID
- 121603358
- Publisher
- Springer
- Year
- 2013
- Tongue
- English
- Weight
- 738 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0178-4617
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## Abstract We consider the 1βmedian problem with uncertain weights for nodes. Specifically, for each node, only an interval estimate of its weight is known. It is required to find a βminmax regretβ location, that is, to minimize the worstβcase loss in the objective function that may occur because
Given a tree network with n vertices where each edge has an operational probability, we are interested in finding a vertex on the tree whose expected number of reachable vertices is maximum. This problem was studied in Networks 27 (1996) 219-237, where an O(n 3 ) time algorithm and an O(n 2 ) time a