2019年1月
On fundamental operations for multimodular functions
Journal of the Operations Research Society of Japan
- ,
- 巻
- 62
- 号
- 開始ページ
- 53
- 終了ページ
- 63
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.15807/jorsj.62.53
© The Operations Research Society of Japan. Multimodular functions, primarily used in the literature of queueing theory, discrete-event systems, and operations research, constitute a fundamental function class in discrete convex analysis. The objective of this paper is to clarify the properties of multimodular functions with respect to fundamental operations such as permutation and scaling of variables, projection (partial minimization) and convolution. It is shown, in particular, that the class of multimodular functions is stable under projection under a certain natural condition on the variables to be minimized, and the convolution of two multimodular functions is not necessarily multimodular, even in the special case of the convolution of a multimodular function with a separable convex function.
- リンク情報
- ID情報
-
- DOI : 10.15807/jorsj.62.53
- ISSN : 0453-4514
- SCOPUS ID : 85067963706