Czasopismo
2003
|
Vol. 51, nr 2
|
189-203
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
Brauner and Crama [4] conjectured that the only n-product, n>2, standard instance of the maximum deviation just-in-time sequencing problem with maximum deviation less than 1/2 is made up of the first n nonnegative powers of 2. We prove that this conjecture holds true. We also exploit this result to prove special cases of the well known Fraenkel's conjecture.
Słowa kluczowe
Rocznik
Tom
Strony
189-203
Opis fizyczny
7 rys., bibliogr. 13 poz.
Twórcy
autor
- Faculty of Business Administration, Memorial University of Newfoundland St. John's, NF Canada, wkubiak@mun.ca
Bibliografia
- [1] E. Altman, B. Gaujal, A. Hordijk, Balanced sequences and optimal routing, The Netherlands, Report TW-97-08, (Leiden University 1998).
- [2] M. Balinski, N. Shahidi, A simple approach to the product rate variation problem via axiomatics, Operations Processing Letters, 22 (1998) 129-135,
- [3] J. Bautista, R. Companys, A. Corominas, A note on the relation between the product rate variation (PRV) and the apportionment problem, Journal of Operational Research Society, 47 (1996) 1410-1414.
- [4] N. Brauner, Y. Crama, Facts and questions about the maximum deviation just-in-time scheduling problem, Research Report G.E.M.M.E. No 0104, University of Liège, Liège 2001.
- [5] R. L. Graham, Covering the positive integers by disjoint sets of the form {[nα + β][n = 1,2...}, J. Combin. Th. A, 15 (1973) 354-358.
- [6] M. Y. Kovalyov, W. Kubiak, S. Yeomans, A computational analysis of balanced JIT optimization algorithms, Information Processing and Operational Research, 39 (2001) 299-316.
- [7] W. Kubiak, S. P. Sethi, A note on Level schedules for mixed-model assembly lines in just-in-time production systems, Management Science, 6 (1991) 137-154.
- [8] W. Kubiak, S. P. Sethi, Optimal just-in-time schedules for flexible transfer lines, The International Journal of Flexible Manufacturing Systems, 6 (1994) 137-154.
- [9] J. G. Miltenburg, Level schedules for mixed-model assembly lines in just-in-time production systems, Management Science, 35 (1989) 192-207.
- [10] Y. Monden, Toyota production systems, Industrial Engineering and Management Press, Norcross, GA, 1983.
- [11] G. Steiner, S. Yeomans, Level schedules for mixed-model, just-in-time production processes, Management Science, 39 (1993) 401-418.
- [12] R. Tijdeman, Exact covers of balanced sequences and Fraenkel’s conjecture, in: Algebraic number theory and diophantine analysis, Proc. Intern. Conf. Graz, Austria, Ed. by F. Halter-Koch and R. F. Tichy, Walter de Gruyter, Berlin, (2000) 467-483.
- [13] J. V. Uspensky, On a problem arising out of the theory of a certain game, Amer. Math. Monthly, 34 (1927) 516-521.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG1-0010-0011