https://orsj-ml.org/orwiki/wiki/index.php?action=history&feed=atom&title=%E3%82%AD%E3%83%B3%E3%82%B0%E3%83%9E%E3%83%B3%2C_%E3%82%B8%E3%83%A7%E3%83%B3%E3%83%BBF%E3%83%BBC 2026-05-28T00:30:10Z このウィキのこのページに関する変更履歴 MediaWiki 1.35.3 https://orsj-ml.org/orwiki/wiki/index.php?title=%E3%82%AD%E3%83%B3%E3%82%B0%E3%83%9E%E3%83%B3,_%E3%82%B8%E3%83%A7%E3%83%B3%E3%83%BBF%E3%83%BBC&diff=6385&oldid=prev 2007-07-20T00:02:50Z

<p>&quot;キングマン, ジョン・F・C&quot; を保護しました。 [edit=sysop:move=sysop]</p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ja"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← 古い版</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2007年7月20日 (金) 00:02時点における版</td> </tr> <!-- diff cache key orsjml2021_wiki:diff::1.12:old-2865:rev-6385 --> </table>

Orsjwiki https://orsj-ml.org/orwiki/wiki/index.php?title=%E3%82%AD%E3%83%B3%E3%82%B0%E3%83%9E%E3%83%B3,_%E3%82%B8%E3%83%A7%E3%83%B3%E3%83%BBF%E3%83%BBC&diff=2865&oldid=prev 2007-07-11T17:31:44Z

<p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ja"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← 古い版</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2007年7月11日 (水) 17:31時点における版</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >1行目:</td> <td colspan="2" class="diff-lineno">1行目:</td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''<del class="diffchange diffchange-inline">【きんこうせいやくけいかくもんだい </del>(<del class="diffchange diffchange-inline">mathematical programming problem with equilibrium constraints (MPEC)</del>)】'''</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''<ins class="diffchange diffchange-inline">【きんぐまん, じょん・F・C </ins>(<ins class="diffchange diffchange-inline">Kingman, John F. C.</ins>)】'''</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">パラメータ $y\in {\bf R}^m$ をもつ相補性問題の解集合を</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">待ち行列モデルに対するキングマン代数</ins>(<ins class="diffchange diffchange-inline">Kingman algebra</ins>)<ins class="diffchange diffchange-inline">を構築して</ins>, <ins class="diffchange diffchange-inline">それまでの解析手法を代数的な視点で解釈するとともに</ins>, <ins class="diffchange diffchange-inline">一般的な複数サーバモデルの理論解析が極めて困難であることを明らかにし</ins>, <ins class="diffchange diffchange-inline">その後の待ち行列研究の方向性に影響を与えた. この他にも</ins>, <ins class="diffchange diffchange-inline">待ち行列モデルの重負荷近似</ins>, <ins class="diffchange diffchange-inline">待ち時間に対する不等式</ins>, <ins class="diffchange diffchange-inline">人口過程における可逆過程</ins>, <ins class="diffchange diffchange-inline">確率過程のエルゴード性</ins>, <ins class="diffchange diffchange-inline">再生型過程など</ins>, <ins class="diffchange diffchange-inline">確率過程論全般にわたって先駆的な研究を行っている</ins>(<ins class="diffchange diffchange-inline">1939--　</ins>).</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">\[</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">\begin{array}{l}</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">S</del>(<del class="diffchange diffchange-inline">y</del>)<del class="diffchange diffchange-inline">:=\{ x \in {\bf R}^n \;|\; x_{i}\geq 0</del>, <del class="diffchange diffchange-inline">F_{i}(x</del>,<del class="diffchange diffchange-inline">y)\geq 0</del>, <del class="diffchange diffchange-inline">\\</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">\hspace*{27mm} x_{i}F_{i}(x</del>,<del class="diffchange diffchange-inline">y)=0 \: (i=1</del>,<del class="diffchange diffchange-inline">\dots</del>,<del class="diffchange diffchange-inline">n)\}</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">\end{array}</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">\]</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">とする. このとき</del>, <del class="diffchange diffchange-inline">数理計画問題</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">\[</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">\begin{array}{ll}</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">\min. &amp; f(x</del>,<del class="diffchange diffchange-inline">y)  \\</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">\mbox{\rm{s.t.}} &amp; x \in  S(y)</del>, <del class="diffchange diffchange-inline">\quad </del>(<del class="diffchange diffchange-inline">x,y</del>) <del class="diffchange diffchange-inline">\in X \subseteq {\bf R}^{n+m}  </del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">\end{array}</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">\]</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">を均衡制約計画問題という</del>.</div></td><td colspan="2"> </td></tr> </table>

131.112.125.103 https://orsj-ml.org/orwiki/wiki/index.php?title=%E3%82%AD%E3%83%B3%E3%82%B0%E3%83%9E%E3%83%B3,_%E3%82%B8%E3%83%A7%E3%83%B3%E3%83%BBF%E3%83%BBC&diff=2695&oldid=prev 2007-07-11T11:05:29Z

<p>新しいページ: &#039;&#039;&#039;&#039;【きんこうせいやくけいかくもんだい (mathematical programming problem with equilibrium constraints (MPEC))】&#039;&#039;&#039; パラメータ $y\in {\bf R}^m$ をもつ...&#039;</p> <p><b>新規ページ</b></p><div>'''【きんこうせいやくけいかくもんだい (mathematical programming problem with equilibrium constraints (MPEC))】'''<br /> <br /> パラメータ $y\in {\bf R}^m$ をもつ相補性問題の解集合を<br /> <br /> \[<br /> \begin{array}{l}<br /> S(y):=\{ x \in {\bf R}^n \;|\; x_{i}\geq 0, F_{i}(x,y)\geq 0, \\<br /> \hspace*{27mm} x_{i}F_{i}(x,y)=0 \: (i=1,\dots,n)\}<br /> \end{array}<br /> \]<br /> <br /> とする. このとき, 数理計画問題<br /> <br /> \[<br /> \begin{array}{ll}<br /> \min. &amp; f(x,y) \\<br /> \mbox{\rm{s.t.}} &amp; x \in S(y), \quad (x,y) \in X \subseteq {\bf R}^{n+m} <br /> \end{array}<br /> \]<br /> <br /> を均衡制約計画問題という.</div>

122.17.2.240