Computational experiments with a lazy version of a <Emphasis Type="Italic">K</Emphasis> quickest simple path ranking algorithm |
| |
Authors: | M Pascoal M E Captivo J C Clímaco |
| |
Institution: | (1) Departamento de Matemática—CIS, Faculdade de Ciências e Tecnologia, Universidade de Coimbra, Apartado 3008, 3001-454 Coimbra, Portugal;(2) DEIO-CIO, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, Bloco C6, Piso 4, 1749-016 Lisbon, Portugal;(3) Faculdade de Economia, Universidade de Coimbra, Av. Dias da Silva, 165, 3004-512 Coimbra, Portugal;(4) Instituto de Engenharia de Sistemas e Computadores—Coimbra, R. Antero de Quental, 199, 3000-033 Coimbra, Portugal |
| |
Abstract: | The quickest path problem is related to the classical shortest path problem, but its objective function concerns the transmission
time of a given amount of data throughout a path, which involves both cost and capacity. The K-quickest simple paths problem generalises the latter, by looking for a given number K of simple paths in non-decreasing order of transmission time.
Two categories of algorithms are known for ranking simple paths according to the transmission time. One is the adaptation
of deviation algorithms for ranking shortest simple paths (Pascoal et al. in Comput. Oper. Res. 32(3):509–520, 2005; Rosen et al. in Comput. Oper. Res. 18(6):571–584, 1991), and another is based on ranking shortest simple paths in a sequence of networks with fixed capacity lower bounds (Chen
in Inf. Process. Lett. 50:89–92, 1994), and afterwards selecting the K quickest ones.
After reviewing the quickest path and the K-quickest simple paths problems we describe a recent algorithm for ranking quickest simple paths (Pascoal et al. in Ann. Oper.
Res. 147(1):5–21, 2006). This is a lazy version of Chen’s algorithm, able to interchange the calculation of new simple paths and the output of each
k-quickest simple path.
Finally, the described algorithm is computationally compared to its former version, as well as to deviation algorithms.
|
| |
Keywords: | Graph algorithms Networks Quickest path Ranking |
本文献已被 SpringerLink 等数据库收录! |
|