Skip to main content

2017 | OriginalPaper | Buchkapitel

Novel Effective Algorithm for Synchronization Problem in Directed Graph

verfasst von : Richard Cimler, Dalibor Cimr, Jitka Kuhnova, Hana Tomaskova

Erschienen in: Computational Collective Intelligence

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

An effective algorithm for solving synchronization problem in directed graph is presented. The system is composed of vertices and edges. Entities are going through the system by given paths and can leave the vertex if all other entities which are going through this vertex have already arrived. The aim of this research is to create an algorithm for finding an optimal input vector of starting times of entities which gives minimal waiting time of entities in vertices and thus in a whole system. Asymptotic complexity of a given solution and using of brute-force method is discussed and compared. This algorithm is shown on an example from a field of train timetable problem.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Arenas, D., Chevrier, R., Hanafi, S., Rodriguez, J.: Solving the train timetabling problem, a mathematical model and a genetic algorithm solution approach. In: 6th International Conference on Railway Operations Modelling and Analysis (2015) Arenas, D., Chevrier, R., Hanafi, S., Rodriguez, J.: Solving the train timetabling problem, a mathematical model and a genetic algorithm solution approach. In: 6th International Conference on Railway Operations Modelling and Analysis (2015)
2.
Zurück zum Zitat Binder, S., Maknoon, Y., Bierlaire, M.: The multi-objective railway timetable rescheduling problem. Transp. Res. Part C: Emerg. Technol. 78, 78–94 (2017)CrossRef Binder, S., Maknoon, Y., Bierlaire, M.: The multi-objective railway timetable rescheduling problem. Transp. Res. Part C: Emerg. Technol. 78, 78–94 (2017)CrossRef
3.
Zurück zum Zitat Cacchiani, V., Toth, P.: Nominal and robust train timetabling problems. Eur. J. Oper. Res. 219(3), 727–737 (2012)MathSciNetCrossRef Cacchiani, V., Toth, P.: Nominal and robust train timetabling problems. Eur. J. Oper. Res. 219(3), 727–737 (2012)MathSciNetCrossRef
4.
Zurück zum Zitat Gavalec, M., Ponce, D., Karel, Z.: The two-sided (max/min, plus) problem is NP-complete. Submitted to: Fuzzy sets and systems (2016) Gavalec, M., Ponce, D., Karel, Z.: The two-sided (max/min, plus) problem is NP-complete. Submitted to: Fuzzy sets and systems (2016)
5.
Zurück zum Zitat Kelley, Jr., J.E., Walker, M.R.: Critical-path planning and scheduling. In: Papers presented at the December 1–3, 1959, eastern joint IRE-AIEE-ACM Computer Conference, pp. 160–173. ACM (1959) Kelley, Jr., J.E., Walker, M.R.: Critical-path planning and scheduling. In: Papers presented at the December 1–3, 1959, eastern joint IRE-AIEE-ACM Computer Conference, pp. 160–173. ACM (1959)
6.
Zurück zum Zitat Siebert, M., Goerigk, M.: An experimental comparison of periodic timetabling models. Comput. Oper. Res. 40(10), 2251–2259 (2013)MathSciNetCrossRef Siebert, M., Goerigk, M.: An experimental comparison of periodic timetabling models. Comput. Oper. Res. 40(10), 2251–2259 (2013)MathSciNetCrossRef
Metadaten
Titel
Novel Effective Algorithm for Synchronization Problem in Directed Graph
verfasst von
Richard Cimler
Dalibor Cimr
Jitka Kuhnova
Hana Tomaskova
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-67074-4_51

Premium Partner