Skip to main content
Log in

A Comment on: F.K. Hwang, Y.M. Wang and J.S. Lee, ‘Sortability of Multi-Partitions’, Journal of Global Optimization 24 (2002), pp. 463–472

  • Letter to the Editor
  • Published:
Journal of Global Optimization Aims and scope Submit manuscript

Abstract

We correct a claim, made in [6], that the proof of the key result in [3] about the existence of a monotone optimal multi-partition was incomplete; further, we provide a sortability interpretation for the criticized step of that proof.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Chang, G.J., Chen, F.L., Huang, L.L., Hwang, F.K., Nuan, S.T., Rothblum, U.G., Sun, I.F., Wang, J.W. and Yeh, H.G. (1999), Sortabilities of partition properties, J. Combinatorial Optimization, 2, 413–427.

    Article  Google Scholar 

  2. Hwang, F.K., Lee, J.S., Liu, Y.C. and Rothblum, U.G. (2003), Sortability of vector partitions, Discrete Mathematics, 263, 129–142.

    Article  Google Scholar 

  3. Hwang, F.K. and Rothblum, U.G. (1994), Optimality of monotone assemblies for coherent systems composed of series modules, Operations Research, 42, 709–720.

    MathSciNet  Google Scholar 

  4. Hwang, F.K., Rothblum, U.G. and Yao, Y-C. (1996), Localizing combinatorial properties of partitions, Discrete Mathematics, 160, 1–23.

    Article  Google Scholar 

  5. Hwang, F.K. and Rothblum, U.G. (1996), Directional-quasi-convexity, asymmetric Schurconvexity and optimality of consecutive partitions, Mathematics of Operations Research, 21, 540–554.

    Google Scholar 

  6. Hwang, F.K., Wang, Y.M. and Lee, J.S. (2002), Sortability of multi-partitions, J. Global Optimization, 24, 463–472.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rothblum, U.G. A Comment on: F.K. Hwang, Y.M. Wang and J.S. Lee, ‘Sortability of Multi-Partitions’, Journal of Global Optimization 24 (2002), pp. 463–472. Journal of Global Optimization 29, 121–123 (2004). https://doi.org/10.1023/B:JOGO.0000035092.97216.57

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:JOGO.0000035092.97216.57

Keywords

Navigation