Skip to main content
Top
Published in: Journal of Scheduling 4/2021

12-08-2021

A note on the complexity of two supply chain scheduling problems

Authors: Yuan Zhang, Jinjiang Yuan

Published in: Journal of Scheduling | Issue 4/2021

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We consider two supply chain scheduling problems in which s suppliers preprocess different parts of the jobs to be assembled by the manufacturer under the common sequence constraint, with the goal of minimizing the total weighted number of tardy parts and minimizing the total late work of the parts, respectively. Ren et al. (Information Processing Letter 113: 609-601, 2013) showed that both of the above two problems are unary NP-hard. But their proof is invalid. In this paper, we present a new proof of the unary NP-hardness for the same problems.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

Literature
go back to reference Agnetis, A., Hall, N. G., & Pacciarelli, D. (2006). Supply chain scheduling: sequence coordination. Discrete Applied Mathematics, 154, 2044–2063. Agnetis, A., Hall, N. G., & Pacciarelli, D. (2006). Supply chain scheduling: sequence coordination. Discrete Applied Mathematics, 154, 2044–2063.
go back to reference Chen, Z. L., & Hall, N. G. (2007). Supply chain scheduling: conflict and cooperation in assembly systems. Operations Research, 55, 1072–1089.CrossRef Chen, Z. L., & Hall, N. G. (2007). Supply chain scheduling: conflict and cooperation in assembly systems. Operations Research, 55, 1072–1089.CrossRef
go back to reference Dawande, M., Geismar, H. N., Hall, N. G., & Sriskandarajah, C. (2006). Supply chain scheduling: distribution systems. Production and Operations Management, 15, 243–261.CrossRef Dawande, M., Geismar, H. N., Hall, N. G., & Sriskandarajah, C. (2006). Supply chain scheduling: distribution systems. Production and Operations Management, 15, 243–261.CrossRef
go back to reference Garey, M. R., & Johnson, D. S. (1979). Computers and intractability: a guide to the theory of np-completeness. NewYork: W.H. Freeman. Garey, M. R., & Johnson, D. S. (1979). Computers and intractability: a guide to the theory of np-completeness. NewYork: W.H. Freeman.
go back to reference Hall, N. G., & Potts, C. N. (2003). Supply chain scheduling: batching and delivery. Operations Research, 51, 566–584.CrossRef Hall, N. G., & Potts, C. N. (2003). Supply chain scheduling: batching and delivery. Operations Research, 51, 566–584.CrossRef
go back to reference Ng, C. T., Cheng, T. C. E., & Yuan, J. J. (2003). Concurrent open shop scheduling to minimize the weighted number of tardy jobs. Journal of Scheduling, 6, 405–412.CrossRef Ng, C. T., Cheng, T. C. E., & Yuan, J. J. (2003). Concurrent open shop scheduling to minimize the weighted number of tardy jobs. Journal of Scheduling, 6, 405–412.CrossRef
go back to reference Ren, J. F., Du, D. L., & Xu, D. C. (2013). The complexity of two supply chain scheduling problems. Information Processing Letters, 113, 609–612.CrossRef Ren, J. F., Du, D. L., & Xu, D. C. (2013). The complexity of two supply chain scheduling problems. Information Processing Letters, 113, 609–612.CrossRef
go back to reference Sarmieto, A. M., & Nagi, R. (1999). A review of integrated analysis of production-distribution systems. IIE Transactions, 31, 1061–1074. Sarmieto, A. M., & Nagi, R. (1999). A review of integrated analysis of production-distribution systems. IIE Transactions, 31, 1061–1074.
go back to reference Thomas, D. J., & Griffin, P. M. (1996). Coordinated supply chain managament. European Journal of Operational Research, 94, 1–15.CrossRef Thomas, D. J., & Griffin, P. M. (1996). Coordinated supply chain managament. European Journal of Operational Research, 94, 1–15.CrossRef
Metadata
Title
A note on the complexity of two supply chain scheduling problems
Authors
Yuan Zhang
Jinjiang Yuan
Publication date
12-08-2021
Publisher
Springer US
Published in
Journal of Scheduling / Issue 4/2021
Print ISSN: 1094-6136
Electronic ISSN: 1099-1425
DOI
https://doi.org/10.1007/s10951-021-00692-9

Other articles of this Issue 4/2021

Journal of Scheduling 4/2021 Go to the issue