Download e-book for kindle: Algorithmic Methods for Railway Optimization: International by Frank Geraets, Leo Kroon, Anita Schoebel, Dorothea Wagner,

By Frank Geraets, Leo Kroon, Anita Schoebel, Dorothea Wagner, Christos Zaroliagiis

This state of the art survey constitutes papers that have been chosen after an open name that the overseas Dagstuhl-Seminar on Algorithmic tools for Railway Optimization, held in Dagstuhl citadel, Germany, in June 2004. the second one a part of the quantity constitutes the refereed lawsuits of the 4th overseas Workshop on Algorithmic equipment and types for Optimization of Railways, ATMOS 2004, held in Bergen, Norway, in September 2004 within the context of the mixed convention ALGO 2004.

The quantity covers algorithmic equipment for reading and fixing difficulties coming up in railway optimization with unique concentrate on the interaction among railway and different public delivery platforms. Beside algorithmics and mathematical optimization, the relevance of formal types and the impression of applicational features for challenge modeling are regarded as good. The papers additionally deal with experimental reports and or invaluable prototype implementations.

The 17 revised complete papers provided have been rigorously reviewed and chosen from a number of submissions and are prepared in topical sections on community and line making plans, timetabling and timetable info, rolling inventory and team scheduling, and real-time operations.

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Read or Download Algorithmic Methods for Railway Optimization: International Dagstuhl Workshop, Railway Optimization 2004, Dagstuhl Castle, Germany, June 20-25, 2004, ... Computer Science and General Issues) PDF

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Extra info for Algorithmic Methods for Railway Optimization: International Dagstuhl Workshop, Railway Optimization 2004, Dagstuhl Castle, Germany, June 20-25, 2004, ... Computer Science and General Issues)

Sample text

Furthermore, longer planned running times increase the block occupation times and therewith the track occupation rates. Additionally, longer planned running times require more personnel and rolling stock, hence they are negative for the efficiency of the railway system. On the other hand, running time supplements add to the predictability of the realized travel times and to the reliability of the railway system as a whole.

In the sequel, we translate their ideas into the PESP plus some additional variables and constraints. Consider a station S that is a terminus for the two lines 1 and 2. Denote by ai and di the arrival and departure events in station S of line i. We introduce the following arcs a11 = (a1 , d1 ) and a22 = (a2 , d2 ), a12 = (a1 , d2 ) and a21 = (a2 , d1 ). The effective waiting times for the trains in S are x ˜11 + x ˜22 if trains stay on their lines, or x ˜12 + x ˜12 if trains switch lines. Notice that (a11 , a21 , a22 , a12 ) is an oriented cycle.

In the sequel, we translate their ideas into the PESP plus some additional variables and constraints. Consider a station S that is a terminus for the two lines 1 and 2. Denote by ai and di the arrival and departure events in station S of line i. We introduce the following arcs a11 = (a1 , d1 ) and a22 = (a2 , d2 ), a12 = (a1 , d2 ) and a21 = (a2 , d1 ). The effective waiting times for the trains in S are x ˜11 + x ˜22 if trains stay on their lines, or x ˜12 + x ˜12 if trains switch lines. Notice that (a11 , a21 , a22 , a12 ) is an oriented cycle.

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