ÖÎÀíѧԺ²©Ê¿ÉúÀîÓêÞ±ÔÚÖÎÀíѧ¹ú¼Ê¶¥¼¶ÆÚ¿¯JOC°ä·¢Ñ§ÊõÂÛÎÄ

°ä²¼¹¦·ò£º2023-12-26Ͷ¸å£ºÀîÓ×Áá ²¿ÃÅ£ºÖÎÀíѧԺ ä¯ÀÀ´ÎÊý£º

½üÈÕ £¬ÖÎÀíѧԺÔÚ¶Á²©Ê¿ÉúÀîÓêÞ±µÄµÚÒ»×÷ÕßÂÛÎÄ¡°Solving bilevel programs based on lower-level Mond-Weir duality¡±±»UTD24¹ú¼Ê¶¥¼¶ÆÚ¿¯¡¶INFORMS Journal on Computing¡·£¨¼ò³ÆJOC£©Õýʽ½Ó¹Ü¡£ÕâÊÇб¦GGÖÎÀíѧÁìÓòÔÚ¶Á²©Ê¿Éú³õ´ÎÒÔµÚÒ»×÷Õß°ä·¢UTDÂÛÎÄ¡£ÔÚѧ¿ÆÆÀ¹ÀÖ¸±êϵͳÖÐ £¬×êÑÐÉúÔÚ¶ÁÆÚ¼äµÄ´ú±íÐԳɾÍÊǺâÁ¿È˲ÅÔì¾ÍˮƽµÄ³ÁÒªÖ¸±êÖ®Ò» £¬Õâ´ÎÖÎÀíѧԺ²©Ê¿ÉúÔÚ¶ÁÆÚ¼ä°ä·¢¹ú¼Ê¶¥¼¶ÆÚ¿¯ÂÛÎÄ £¬ÌåÏÖÁËÖÎÀíѧԺ¸ßÖÊÁ¿×êÑÐÉúÔì¾ÍµÄ¹¦Ð§ £¬Ò²ÎªÑ§ÔºÖúÁ¦Ñ§Ìá°ÎåÎåÕ½Êõ¡ª¡ªÊý×Ö¾­¼ÃÓëÖÎÀí¡±¹±Ï×ÁËÒ»·ÝÁ¦Á¿¡£

ÖÎÀíѧԺһÏò¸ß¶ÈÆ÷³Á×êÑÐÉúÔì¾Í¹ý³ÌÖÊÁ¿ £¬Æ÷³Á×êÑгɾÍÖÊÁ¿¶ø·ÇÊýÁ¿µÄÌáÉý¡£¹ÜÔº¼¤ÀøÀÏʦºÍÔÚ¶Á×êÑÐÉú £¬¶Ô×¼ÊÀ½ç¹«ÈÏÄÑÌâ £¬¹±Ï×ÓµÓÐÊÀ½ç³õ´´µÄ¿ÆÑ§·¢Ïֵ㡣ÀîÓêޱͬѧ±¾¿Æ±ÏÒµÓÚ³ÁÇìʦ·¶´óѧ £¬ÍÆÃâÖÁб¦GGÖÎÀíѧԺÖÎÀí¿ÆÑ§Ó빤³Ìרҵ˶²©Á¬¶Á¡£ÀîÓêޱͬѧµÄ×êÑжÔ×¼¡°¸´ÔÓÖÎÀí¾ö²ßÖÐË«²ã¹æ»®Ä£Ð͵ÄÇó½âËã·¨¡¹ØâÒ»¹«ÈÏÄÑÌ⡣˫²ã¹æ»®Ä£ÐÍ·¢Ô´Óڵ¹ú¾­¼Ãѧ¼ÒStackelbergÓÚ1934Äê×êÑеÄÖ÷´Ó²©ÞÄÎÊÌâ £¬ÆäÀûÓÃÁìÓòº­¸ÇÁËÖÎÀí¾ö²ß¡¢¾­¼Ã²©ÞÄ¡¢½»Í¨ÔËÊä¡¢ÈËΪÖÇÄܵȶà¶àÁìÓò £¬ÒµÒѳÉΪÖÎÀíÓëÔ˳ïÓÅ»¯µÄ³ÁÒª½¨Ä£¹¤¾ß¡£Ë«²ã¹æ»®ÓµÓиߵÍÁ½²ãµÝ½×½á¹¹ £¬Çó½â¼«ÆäÄÑÌâ¡£¸ÃÎÄ»ùÓÚ»ù²ãMond-Weir¶Ôż˼ÏëÌá³öÁËÇó½âË«²ã¹æ»®µÄÈ«ÐÂËã·¨¡£Ó뵱ǰµÄÊ¢Ðв½ÖèÏà±È £¬ÀíÂÛÉÏв½ÖèÄܹ»Ô¤·ÀÓÉ»ù²ã×îÓÅÐÔǰÌáËù´øÀ´µÄ½á¹¹ÉϵÄÌìȻȱµã¡£´óÁ¿µÄÊýÖµ³¢ÊÔÅú×¢ £¬Ð²½ÖèµÄÍÆËã³ÉЧÌá¸ßÁË¿¿½üÈý±¶¡£Òò¶ø £¬´ËÏîÔ­´´ÐԳɾÍÓµÓгÁÒªµÄÀí½²¼ÛÖµºÍÀûÓÃÔ¶¾°¡£

¸ÃÎĵĺÏ×÷ÕßÊÇÀîÓêޱͬѧµÄµ¼Ê¦Áֹ󻪽ÌÊÚÒÔ¼°ÖìÏ£µÂ¸±½ÌÊÚ¡£Áֹ󻪽ÌÊÚÊÇÉϺ£ÁìÎäÊ¿²Å £¬²©Ê¿±ÏÒµÓÚÈÕ±¾¾©¶¼´óѧ £¬2012Äê´Ó´óÁ¬Àí¹¤´óѧµ÷Èëб¦GGÖÎÀíѧԺ¹¤×÷ £¬Ä¿Ç°ÒÑÔì¾ÍÁË2ÃûѧÉúÏȺóÈëÑ¡¹ú¶ÈËÄÇàÈ˲Å¡£ÖìÏ£µÂ¸±½ÌÊÚÊÇÉϺ£ÆÖ½­È˲Å £¬²©Ê¿±ÏÒµÓÚÈÕ±¾ºá±õ¹úÁ¢´óѧ £¬Ä¿Ç°µ£ÈÎÖÎÀí¿ÆÑ§Ó빤³Ìϵ¸±Ö÷ÈΡ£

ÓйØÂÛÎÄ£º

Li Y.W., Lin G.H., Zhu X.(2023)Solving bilevel programs based on lower-level Mond-Weir duality,INFORMS Journal on Computing.Forthcoming.

¡¾ÍøÕ¾µØÍ¼¡¿