Author : Agha Iqbal Ali
Release : 1984
Genre : Algorithms
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Design and Implementation of Data Structures for Generalized Networks by : Agha Iqbal Ali
Download or read book Design and Implementation of Data Structures for Generalized Networks written by Agha Iqbal Ali. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt: The specialization of the simplex algorithm for the solution of generalized network flow problems rests on the fact that a basis for the problem may be represented graphically as a spanning forest in which each component is either a one-tree or a rooted tree. The design of a specialized algorithm for efficient solution of generalized network problems necessarily depends on data structures chosen to represent the basis. This paper presents the design and detailed algorithmic specification of the primal simplex algorithm for such problems. Computational testing to determine the overhead required by generalized network data structures over pure network data structures indicates that generalized network algorithms are on the order of 2.5 to 3.5 times slower than pure network algorithms. Computational testing with generalized network problems with up to 1000 nodes and 7000 arcs establishes the suitability of the data-structures for efficient implementation of primal simplex calculations. Keywords: Linear programming. (Author).