We show how we can linearize individual probabilistic linear constraints with binary variables when all coefficients are independently distributed according to either N (¡ i , λ¡ i ), for some λ > 0 and ¡ i > 0, or Π(k i , θ ) for some θ > 0 and k i > 0. The constraint can also be linearized when t
Probabilistic asymptotic properties of some combinatorial optimization problems
β Scribed by Rainer E. Burkard; Ulrich Fincke
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 351 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper presents some results regarding the design of reliable networks. The problem under consideration involves networks which are undirected graphs having equal and independent edge failure probabilities. The index of reliability is the probability that the network fails (becomes disconnected)
We use the notion of domination ratio introduced by Glover and Punnen in 1997 to present a new classiΓΏcation of combinatorial optimization (CO) problems: DOM-easy and DOM-hard problems. It follows from results already proved in the 1970s that min TSP (both symmetric and asymmetric versions) is DOM-e
Scheduling a set of n jobs on a single machine so as to minimize the completion time variance is a well-known NP-hard problem. In this paper, we propose a sequence, which can be constructed in O(n log n) time, as a solution for the problem. Our primary concern is to establish the asymptotical optima