An unconstrained convex programming approach to convex semi-infinite programming
- Authors: Wu, Zhiyou , Sun, C.R.
- Date: 2010
- Type: Text , Journal article
- Relation: Dynamics of Continuous Discrete and Impulsive Systems Series B: Applications and Algorithms Vol. 17, no. 4 (2010), p. 581-598
- Full Text: false
- Reviewed:
- Description: A smooth convex penalty function method for solving a semi-infinite convex programming problem is proposed in this paper. The semi-finite convex programming problem can be successively solved by a sequence of smooth unconstrained convex programming problems, whose optimal solutions are convergent to the optimal set of the original problem. Some other convegence results are also established in this paper, and several numerical examples are included to illustrate our approach.
A reliability-based design optimization model for electricity power networks
- Authors: Ezzati, Ghasem
- Date: 2015
- Type: Text , Journal article
- Relation: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms Vol. 22, no. 5 (2015), p. 339-357
- Full Text: false
- Reviewed:
- Description: Significant attentions have recently been attracted by electricity power net- works where many optimization models are applied to optimize distributed power. Many optimization models are available for electricity networks that mainly take into accoun- t total cost. Reliability related issues of electricity networks are also considered in the literature. However, there is a lack to formulate a reliability-based design optimization (RBDO) model of these networks. An RBDO model is introduced in this paper to deal with probabilistic constraints in an optimization model for electricity networks. In our suggested approach, an optimization problem is firstly solved to find optimal parameters of the network. Then, the optimal solution is adjusted using an RBDO problem. Our main aim is to minimize an extra cost that is experienced by considering reliability. It is expected to have a higher extra cost for a lower failure probability. © 2015 Watam Press.