WEKO3
アイテム
Worst and best irredundant sum-of-products expressions
http://hdl.handle.net/10228/615
http://hdl.handle.net/10228/6156031ba37-ff11-469c-8931-c27e1b11dd71
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
t0935.pdf (346.5 kB)
|
|
| アイテムタイプ | 学術雑誌論文 = Journal Article(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-01-08 | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| タイトル | ||||||
| タイトル | Worst and best irredundant sum-of-products expressions | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 著者 |
笹尾, 勤
× 笹尾, 勤× Butler, J.T. |
|||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | In an irredundant sum-of-products expression (ISOP), each product is a prime implicant (Pl) and no product can be deleted without changing the function. Among the ISOPs for some function f, a worst ISOP (WSOP) is an ISOP with the largest number of Pls and a minimum ISOP (MSOP) is one with the smallest number. We show a class of functions for which the Minato-Morreale ISOP algorithm produces WSOPs. Since the ratio of the size of the WSOP to the size of the MSOP is arbitrarily large when it, the number of variables, is unbounded, the Minato-Morreale algorithm can produce results that are very far from minimum. We present a class of multiple-output functions whose WSOP size is also much larger than its MSOP size. For a set of benchmark functions, we show the distribution of ISOPs to the number of Pls. Among this set are functions where the MSOPs have almost as many Pls as do the WSOPs. These functions are known to be easy to minimize. Also, there are benchmark functions where the fraction of ISOPs that are MSOPs is small and MSOPs have many fewer Pls than the WSOPs. Such functions are known to be hard to minimize. For one class of functions, we show that the fraction of ISOPs that are MSOPs approaches 0 as n approaches infinity, suggesting that such functions are hard to minimize | |||||
| 書誌情報 |
IEEE Transactions on Computers 巻 50, 号 9, p. 935-948, 発行日 2001-09 |
|||||
| 出版社 | ||||||
| 出版者 | Institute of Electrical and Electronics Engineers | |||||
| DOI | ||||||
| 関連タイプ | isIdenticalTo | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | info:doi/10.1109/12.954508 | |||||
| NAID | ||||||
| 関連タイプ | isIdenticalTo | |||||
| 識別子タイプ | NAID | |||||
| 関連識別子 | 120002440794 | |||||
| NCID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA00667762 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 0018-9340 | |||||
| 著作権関連情報 | ||||||
| 権利情報 | ©2001 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. | |||||
| 出版タイプ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
| 査読の有無 | ||||||
| 値 | yes | |||||
| 情報源 | ||||||
| 識別子タイプ | URI | |||||
| 関連識別子 | DOI: 10.1109/12.954508 | |||||
| 関連名称 | DOI: 10.1109/12.954508 | |||||
