Skip to main content
Erschienen in: Journal of Scheduling 1/2016

01.02.2016

A new approximation algorithm for multi-agent scheduling to minimize makespan on two machines

verfasst von: Kejun Zhao, Xiwen Lu, Manzhan Gu

Erschienen in: Journal of Scheduling | Ausgabe 1/2016

Einloggen

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

search-config
loading …

Abstract

This paper studies a multi-agent scheduling problem on two identical parallel machines. There are g agents, and each agent’s objective is to minimize its makespan. We present an approximation algorithm such that the performance ratio of the makespan achieved by our algorithm relative to the minimum makespan is no more than \(i+\frac{1}{6}\) for the ith \((i=1,2,\ldots ,g)\) completed agent. Moreover, we show that the performance ratio is tight.

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 "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
Zurück zum Zitat Agnetis, A., Mirchandani, P. B., Pacciarelli, D., & Pacifici, A. (2004). Scheduling problem with two competing agents. Operations Research, 52, 229–242.CrossRef Agnetis, A., Mirchandani, P. B., Pacciarelli, D., & Pacifici, A. (2004). Scheduling problem with two competing agents. Operations Research, 52, 229–242.CrossRef
Zurück zum Zitat Agnetis, A., Pacciarelli, D., & Pacifici, A. (2007). Multi-agent single machine scheduling. Annals of Operations Research, 150, 3–15.CrossRef Agnetis, A., Pacciarelli, D., & Pacifici, A. (2007). Multi-agent single machine scheduling. Annals of Operations Research, 150, 3–15.CrossRef
Zurück zum Zitat Agnetis, A., Pascale, G., & Pacciarelli, D. (2009). A Lagrangian approach to single-machine scheduling problems with two competing agents. Journal of Scheduling, 12, 401–415.CrossRef Agnetis, A., Pascale, G., & Pacciarelli, D. (2009). A Lagrangian approach to single-machine scheduling problems with two competing agents. Journal of Scheduling, 12, 401–415.CrossRef
Zurück zum Zitat Agnetis, A., Billaut, J. C., Gawiejnowicz, S., Pacciarelli, D., & Soukhal, A. (2014). Multiagent scheduling—models and algorithms, Springer, Berlin. ISBN 978-3-642-41879-2. Agnetis, A., Billaut, J. C., Gawiejnowicz, S., Pacciarelli, D., & Soukhal, A. (2014). Multiagent scheduling—models and algorithms, Springer, Berlin. ISBN 978-3-642-41879-2.
Zurück zum Zitat Cheng, T. C. E., Ng, C. T., & Yuan, J. J. (2006). Multi-agent scheduling on a single machine to minimize total weighted number of tardy jobs. Theoretical Computer Science, 362, 273–281.CrossRef Cheng, T. C. E., Ng, C. T., & Yuan, J. J. (2006). Multi-agent scheduling on a single machine to minimize total weighted number of tardy jobs. Theoretical Computer Science, 362, 273–281.CrossRef
Zurück zum Zitat Cheng, T. C. E., Ng, C. T., & Yuan, J. J. (2008). Multi-agent scheduling on a single machine with max-form criteria. European Journal of Operational Research, 188, 603–609.CrossRef Cheng, T. C. E., Ng, C. T., & Yuan, J. J. (2008). Multi-agent scheduling on a single machine with max-form criteria. European Journal of Operational Research, 188, 603–609.CrossRef
Zurück zum Zitat Fan, B. Q., Cheng, T. C. E., Li, S. S., & Feng, Q. (2013). Bounded parallel-batching scheduling with two competing agents. Journal of Scheduling, 16, 261–271.CrossRef Fan, B. Q., Cheng, T. C. E., Li, S. S., & Feng, Q. (2013). Bounded parallel-batching scheduling with two competing agents. Journal of Scheduling, 16, 261–271.CrossRef
Zurück zum Zitat Graham, R. L. (1969). Bounds on multiprocessing timing anomalies. SIAM Journal on Applied Mathematics, 17, 416–429.CrossRef Graham, R. L. (1969). Bounds on multiprocessing timing anomalies. SIAM Journal on Applied Mathematics, 17, 416–429.CrossRef
Zurück zum Zitat Lee, K., Choi, B.-C., Leung, J. Y.-T., & Pinedo, M. L. (2009). Approximation algorithms for multi-agent scheduling to minimize total weighted completion time. Information Processing Letters, 109, 913–917.CrossRef Lee, K., Choi, B.-C., Leung, J. Y.-T., & Pinedo, M. L. (2009). Approximation algorithms for multi-agent scheduling to minimize total weighted completion time. Information Processing Letters, 109, 913–917.CrossRef
Zurück zum Zitat Leung, J. Y.-T., Pinedo, M., & Wan, G. (2010). Competitive two-agent scheduling and its applications. Operations Research, 58, 458–469.CrossRef Leung, J. Y.-T., Pinedo, M., & Wan, G. (2010). Competitive two-agent scheduling and its applications. Operations Research, 58, 458–469.CrossRef
Zurück zum Zitat Li, S., & Yuan, J. J. (2012). Unbounded parallel-batching scheduling with two competitive agents. Journal of Scheduling, 15, 629–640.CrossRef Li, S., & Yuan, J. J. (2012). Unbounded parallel-batching scheduling with two competitive agents. Journal of Scheduling, 15, 629–640.CrossRef
Zurück zum Zitat Pinedo, M. L. (2010). Scheduling (4th ed.). Berlin: Springer. Pinedo, M. L. (2010). Scheduling (4th ed.). Berlin: Springer.
Zurück zum Zitat Saule, E., & Trystram, D. (2009). Multi-users scheduling in parallel systems. In Proceedings of IEEE International Parallel and Distributed Processing Symposium 2009, Washington, DC, 1C9. Saule, E., & Trystram, D. (2009). Multi-users scheduling in parallel systems. In Proceedings of IEEE International Parallel and Distributed Processing Symposium 2009, Washington, DC, 1C9.
Metadaten
Titel
A new approximation algorithm for multi-agent scheduling to minimize makespan on two machines
verfasst von
Kejun Zhao
Xiwen Lu
Manzhan Gu
Publikationsdatum
01.02.2016
Verlag
Springer US
Erschienen in
Journal of Scheduling / Ausgabe 1/2016
Print ISSN: 1094-6136
Elektronische ISSN: 1099-1425
DOI
https://doi.org/10.1007/s10951-015-0460-y

Weitere Artikel der Ausgabe 1/2016

Journal of Scheduling 1/2016 Zur Ausgabe

Premium Partner