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Prilagajanje železniškega voznega reda zamudam : magistrsko delo
ID Grošelj, Ema Leila (Author), ID Čibej, Uroš (Mentor) More about this mentor... This link opens in a new window

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Abstract
Železniški promet je dovzeten za nepredvidene motnje in zamude, ki zahtevajo hitre operativne prilagoditve voznega reda. V magistrskem delu obravnavamo problem avtonomnega prilagajanja železniškega voznega reda z namenom minimizacije sekundarnih zamud v realnem času. Razvit je matematični model mešanega celoštevilskega linearnega programiranja, ki temelji na grafu alternativ ter dosledno upošteva varnostne in infrastrukturne omejitve. Zaradi računske zahtevnosti problema je implementirana metoda časovne dekompozicije z drsečim horizontom, ki omogoča hiter odziv sistema. Jedro rešitve predstavlja večkriterijska optimizacija, ki združuje leksikografsko metodo z iskanjem Paretove fronte. Z upoštevanjem realnih podatkov o številu potnikov sistem aktivno išče kompromise med robustnostjo prilagoditve voznega reda in zamudami potnikov. Predlagani model je implementiran v programskem jeziku Python z uporabo reševalnika SCIP ter ovrednoten na realnih primerih Slovenskih železnic za enotirno progo Ljubljana - Kamnik Graben v letu 2025. Rezultati stresnih testov in primerjava s kapacitetno analizo po metodi UIC 406 kažejo, da razviti sistem učinkovito razrešuje konflikte, omejuje širjenje zamud ter dispečerjem ponuja prilagodljive strategije za optimizacijo železniškega prometa.

Language:Slovenian
Keywords:železniški promet, vozni red, zamude, optimizacija, MCLP, drseči horizont, večkriterijska optimizacija, SCIP
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FMF - Faculty of Mathematics and Physics
Year:2026
PID:20.500.12556/RUL-188197 This link opens in a new window
UDC:519.8
COBISS.SI-ID:291467779 This link opens in a new window
Publication date in RUL:19.09.2026
Views:128
Downloads:20
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Secondary language

Language:English
Title:Railway timetable rescheduling due to delays
Abstract:
Railway traffic is susceptible to unforeseen disruptions and delays that require rapid operational timetable adjustments. In this master's thesis, we address the problem of autonomous railway timetable rescheduling with the aim of minimizing secondary delays in real time. A mixed-integer linear programming model has been developed, based on an alternative graph and consistently taking into account safety and infrastructure constraints. Due to the computational complexity of the problem, a rolling horizon time decomposition method has been implemented, enabling a rapid system response. The core of the solution is a multi-objective optimization approach that combines the lexicographic method with Pareto frontier search. By incorporating real passenger count data, the system actively seeks trade-offs between the robustness of timetable rescheduling and passenger delays. The proposed model has been implemented in the Python programming language using the SCIP solver and evaluated on real-world examples from Slovenian Railways for the single-track Ljubljana -- Kamnik Graben railway line in 2025. The results of stress tests and a comparison with the UIC 406 capacity analysis method show that the developed system effectively resolves conflicts, limits the propagation of delays, and provides dispatchers with flexible strategies for railway traffic optimization.

Keywords:railway traffic, timetable, delays, optimization, MILP, rolling horizon, multi-objective optimization, SCIP

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