In this paper, we are concerned with a discrete tomography problem. We seek to reconstruct a binary image from its orthogonal projections, i.e, its horizontal and vertical line sums without interior black holes. We provide a tabu search approach to minimize the number of holes while satisfying the projections. We test our approach on some random binary images. Computational results show that th...

This study introduces an effective population-based optimization algorithm, namely the Golden Search Optimization Algorithm (GSO), for numerical function optimization. The new algorithm has a simple but strategy solving complex problems. GSO starts with random possible solutions called objects, which interact each other based on mathematical model to reach global optimum. To provide fine balanc...

Many issues that are crucial for an e cient implementation of an interior point algorithm are addressed in this chapter. To start with, a prototype primaldual algorithm is presented. Next, many tricks that make it e cient in practice are discussed in detail. Those include: preprocessing techniques, initialization approaches, methods for computing search directions (and the underlying linear alg...

Spatial reserve design concerns the planning of biological reserves for conservation. Typical reserve selection formulations operate on a large set of landscape elements, which could be grid cells or irregular sites, and selection algorithms aim to select the set of sites that achieves biodiversity target levels with minimum cost. This study presents a completely different optimization approach...

This paper presents a garbage compaction algorithm, which extends the well-known algorithm of Jonkers with the ability to handle interior pointers. It is as efficient as Jonkers’ algorithm in the absence of interior pointers, and in practice only slightly less efficient in the presence of interior pointers, while at the same time, it does not impose any additional space overhead. This, however,...

Main contribution of this work is improving transient stability by installing Flexible AC Transmission System (FACTS) in power systems. For do this, Unified Power Flow Controller (UPFC) has been selected. Also a novel structure has been suggested to improve classic Harmony Search algorithm and suggested improved Harmony Search (iHS) algorithm. This algorithm has been used to obtain UPFC paramet...

The main aim of the present study is to propose a modified harmony search (MHS) algorithm for size and shape optimization of structures. The standard harmony search (HS) algorithm is conceptualized using the musical process of searching for a perfect state of the harmony. It uses a stochastic random search instead of a gradient search. The proposed MHS algorithm is designed based on elitism. In...