A geometric approach to the estimation of radial railway network improvement

作者：Roanes Lozano Eugenio^*; Garcia Alvarez Alberto; Hernando Antonio

来源：Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2012, 106(1): 35-46.

DOI：10.1007/s13398-011-0050-6

• Dynamic geometry systems
• Computer graphics
• Programming involving graphs or networks
• Transportation engineering
• Railway networks

A geometric approach to radial railway network improvement is presented here. It uses what we have called %26apos;isochrone circle graphs%26apos;, a kind of diagrams that reflect the values of two variables, mixing ideas from isochrone maps and from polar area diagrams (unlike the former, the areas of the sectors are related to population, not to %26apos;geographical areas%26apos; and, unlike the latter, they do not compute the square root of the values). Isochrone maps are normally used in presentations to give the flavour of the improvement of timings in a transportation network. Meanwhile, the %26apos;isochrone circle graphs%26apos; used in this paper allow to easily compute an index of the impact of a proposed renewal or improvement of railway lines in a radial railway network. Moreover, the application developed, implemented in a dynamic geometry system, allows to dynamically explore the impact of each proposed change using sliders.

• 出版日期2012-3