Abstract
We found a minor error in the proof of paper “Universal Alignment Probability Revisited” by S.Y. Lin and Y.C. Ho (J. Optim. Theory Appl. 113(2):399–407, 2002). In this note, we give a counterexample and explain the reason. We also show that the conclusion of that paper is still correct despite this minor error. A new proof of the conclusion is given.
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Lin, S.Y., Ho, Y.C.: Universal alignment probability revisited. J. Optim. Theory Appl. 113(2), 399–407 (2002)
Ho, Y.C., Sreenivas, R.S., Vakili, P.: Ordinal optimization of discrete event dynamic systems. J. DEDS 2(1), 61–88 (1992)
Lau, T.W.E., Ho, Y.C.: Universal alignment probabilities and subset selection for ordinal optimization. J. Optim. Theory Appl. 39, 455–489 (1997)
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Communicated by Y.C. Ho.
This work was supported by NSFC Grants 60574067, 60704008, 60721003 and 60736027, NCET Program NCET-04-0094 of China, National New Faculty Funding for Universities with Doctoral Program 20070003110, Program of Introducing Talents of Discipline to Universities (National 111 International Collaboration Project) B06002, and High-Level Graduate Student Scholarship 2007 of China Scholarship Council.
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Shen, Z., Zhao, Q.C., Jia, QS. et al. Universal Alignment Probability Revisited. J Optim Theory Appl 141, 371–376 (2009). https://doi.org/10.1007/s10957-008-9498-8
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DOI: https://doi.org/10.1007/s10957-008-9498-8