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Some comments on the optimal assembly problem
Author(s) -
Hwang Frank K.,
Rothblum Uriel G.
Publication year - 1995
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(199508)42:5<757::aid-nav3220420504>3.0.co;2-k
Subject(s) - mathematical proof , extension (predicate logic) , monotone polygon , mathematical economics , computer science , mathematics , calculus (dental) , mathematical optimization , programming language , medicine , geometry , dentistry
It is shown that two recent results of Baxter and Harche [1] on monotone and balanced optimal assemblies hold only under conditions that are more restrictive than those originally proposed by the authors. We describe such additional conditions, illustrate why they are needed, and establish their sufficiency. We also consider a recent result by Malon [11] and demonstrate that, while the result itself is correct, its two proofs were incomplete. A complete proof of an extension of the result is then suggested. © 1995 John Wiley & Sons, Inc.