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晚自习排班、监考安排,课表排班…这些教务处“年度大考”,其实都有标准答案

  • 2026-02-01 18:38:28
晚自习排班、监考安排,课表排班…这些教务处“年度大考”,其实都有标准答案

作为教务处老师,一年到头总有那么几件特别“烧脑”的活——晚自习排班、日常课表安排、考试监考分配……每次都得对着Excel表格反复调整,一弄就是好几天,眼睛都看花了。

不过最近我发现了一个“偷懒”的好办法!原来这些让人头疼的安排问题,从数学角度看都属于整数规划问题。咱们只要把问题“翻译”成电脑能懂的语言,剩下的交给AI就行!

怎么“翻译”呢?简单来说就是定好两种规则:

1. 硬约束:必须做到的底线

就像交通规则里的红灯必须停一样,这些条件必须100%满足:

  • 📅 每个班每天必须有一位老师值班

  • 👨‍🏫 每位老师每天最多值一个班

  • 📚 九年级每周要上全所有主科(语文、数学、英语、科学、历史与社会)

  • ✏️ 其他年级每周要有一次“副科”时间(注:我们把行政上的特殊安排简化成了“六年级”,实际操作更灵活)

2. 软约束:尽量做好的优化目标

就像我们希望路上少堵车一样,这些是“加分项”:

  • ⚖️ 老师们值班次数尽量平均,谁也不吃亏

  • 📊 非主课老师之间工作量要均衡

  • 🎯 六年级老师平均值班18次左右

  • 👫 夫妻尽量安排在同一天,方便一起回家

  • 🚫 有不同关系的老师尽量避免同天值班

  • 🔄 避免老师连续两天都值班

举个实际的例子:2026年晚自习安排

我们把上面的规则输入给AI,它就能自动生成排班方案。来看看效果:

这里考虑了夫妻关系,最好安排在同一天,不同关系,最好不要安排在同一天。

上面的就是安排效果。

教师值班统计,大家次数都差不多

副科老师的安排基本也差不多,整体大致ok了,所需时间是300秒左右,后面的老师只需要做下微调即可。这边我是有40个班级,100多个老师,才需要这么久,如果老师班级少的话,就更快了。

这个方法的妙处在哪里?

省时省力:以前要折腾几天的活,现在电脑几分钟就搞定公平透明:规则提前定好,谁都说不出闲话灵活可调:需要修改规则?改几个参数重新运行就行

不只是晚自习排班!

同样的思路还能用在很多地方:

  • 🏫 日常课表安排:避开老师的“空堂冲突”

  • 👀 考试监考分配:考场、时间、监考老师最优组合

  • 📋 教研活动安排:让老师们都能参加需要的培训

技术门槛高吗?

其实真不高!现在AI写代码的能力很强,咱们只需要:

  1. 想清楚自己的“硬约束”和“软约束”

  2. 整理好基础数据(老师、班级、时间等)

  3. 告诉AI你想要什么效果

剩下的代码部分,AI会帮我们完成。我这里有一些现成的模板和截图,有需要的老师可以联系我,我们一起定制适合你们学校的解决方案。

有时候,工作上的“难题”换个角度看,就成了有固定解法的“数学题”。 让电脑去做重复计算,咱们老师把时间省下来,多关注教学、多陪伴学生,不是更好吗?

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  1. CONNECT:[ UseTime:0.000514s ] mysql:host=127.0.0.1;port=3306;dbname=b_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000722s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.001117s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000279s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000511s ]
  6. SELECT * FROM `set` [ RunTime:0.000192s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000568s ]
  8. SELECT * FROM `article` WHERE `id` = 463224 LIMIT 1 [ RunTime:0.004227s ]
  9. UPDATE `article` SET `lasttime` = 1770362879 WHERE `id` = 463224 [ RunTime:0.023636s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000310s ]
  11. SELECT * FROM `article` WHERE `id` < 463224 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000874s ]
  12. SELECT * FROM `article` WHERE `id` > 463224 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000786s ]
  13. SELECT * FROM `article` WHERE `id` < 463224 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.002969s ]
  14. SELECT * FROM `article` WHERE `id` < 463224 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.013026s ]
  15. SELECT * FROM `article` WHERE `id` < 463224 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.004724s ]
0.122506s