uint 承诺问题是非常 imprtant 在电力系统运行分析中的问题。我们可以假设我们有 N 电源发电机组提供给我们，我们有预测的需求送达。问单位承诺问题的区域的问题大约是，如下所示：
鉴于有大量的 N 发电机组以满足预计的需求，其中的这些子集应使用以提供最低运作成本的完整集合子集的？
在这里我已经解决了此问题使用拉格朗日松弛最小化方法这是一种非常灵活的方法来解决这些问题。附加的代码可能会扩大为更多的单位数。
SHOW FULL COLUMNS FROM `jrk_downrecords` [ RunTime:0.001341s ]
SELECT `a`.`aid`,`a`.`title`,`a`.`create_time`,`m`.`username` FROM `jrk_downrecords` `a` INNER JOIN `jrk_member` `m` ON `a`.`uid`=`m`.`id` WHERE `a`.`status` = 1 GROUP BY `a`.`aid` ORDER BY `a`.`create_time` DESC LIMIT 10 [ RunTime:0.090774s ]
SHOW FULL COLUMNS FROM `jrk_tagrecords` [ RunTime:0.001199s ]
SELECT * FROM `jrk_tagrecords` WHERE `status` = 1 ORDER BY `num` DESC LIMIT 20 [ RunTime:0.001899s ]
SHOW FULL COLUMNS FROM `jrk_member` [ RunTime:0.001226s ]
SELECT `id`,`username`,`userhead`,`usertime` FROM `jrk_member` WHERE `status` = 1 ORDER BY `usertime` DESC LIMIT 10 [ RunTime:0.003579s ]
SHOW FULL COLUMNS FROM `jrk_searchrecords` [ RunTime:0.001044s ]
SELECT * FROM `jrk_searchrecords` WHERE `status` = 1 ORDER BY `num` DESC LIMIT 5 [ RunTime:0.003283s ]
SELECT aid,title,count(aid) as c FROM `jrk_downrecords` GROUP BY `aid` ORDER BY `c` DESC LIMIT 10 [ RunTime:0.017234s ]
SHOW FULL COLUMNS FROM `jrk_articles` [ RunTime:0.001420s ]
UPDATE `jrk_articles` SET `hits` = 1 WHERE `id` = 20360 [ RunTime:0.001319s ]
