An Improved Algorithm for Inserting a Highway in a City Metric Based on Minimization of Quasiconvex Functions
نویسندگان
چکیده
We introduce an improved algorithm to locate a segment highway such that the maximum city distance between a given set of n points is minimized (where the city distance is measured with speed v > 1 on a highway and 1 in the underlying metric elsewhere). We consider that such highway is built in a complex transportation system with H other highways and obstacles. The algorithm runs in O(nH(log n + logH)) time using O(nH) space improving the previous O(nH) time and space bound.
منابع مشابه
Hermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates
In this paper we introduce the concept of geometrically quasiconvex functions on the co-ordinates and establish some Hermite-Hadamard type integral inequalities for functions defined on rectangles in the plane. Some inequalities for product of two geometrically quasiconvex functions on the co-ordinates are considered.
متن کاملA Multi-Objective Particle Swarm Optimization for Mixed-Model Assembly Line Balancing with Different Skilled Workers
This paper presents a multi-objective Particle Swarm Optimization (PSO) algorithm for worker assignment and mixed-model assembly line balancing problem when task times depend on the worker’s skill level. The objectives of this model are minimization of the number of stations (equivalent to the maximization of the weighted line efficiency), minimization of the weighted smoothness index and minim...
متن کاملEffect of Objective Function on the Optimization of Highway Vertical Alignment by Means of Metaheuristic Algorithms
The main purpose of this work is the comparison of several objective functions for optimization of the vertical alignment. To this end, after formulation of optimum vertical alignment problem based on different constraints, the objective function was considered as four forms including: 1) the sum of the absolute value of variance between the vertical alignment and the existing ground; 2) the su...
متن کاملOPTIMAL SENSOR PLACEMENT FOR MODAL IDENTIFICATION OF A STRAP-BRACED COLD FORMED STEEL FRAME BASED ON IMPROVED GENETIC ALGORITHM
This paper is concerned with the determination of optimal sensor locations for structural modal identification in a strap-braced cold formed steel frame based on an improved genetic algorithm (IGA). Six different optimal sensor placement performance indices have been taken as the fitness functions two based on modal assurance criterion (MAC), two based on maximization of the determinant of a Fi...
متن کاملAn Improved Imperialist Competitive Algorithm based on a new assimilation strategy
Meta-heuristic algorithms inspired by the natural processes are part of the optimization algorithms that they have been considered in recent years, such as genetic algorithm, particle swarm optimization, ant colony optimization, Firefly algorithm. Recently, a new kind of evolutionary algorithm has been proposed that it is inspired by the human sociopolitical evolution process. This new algorith...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009