基于破产理论的省属高校招生计划分配方法

An allocation method of provincial college enrollment plan based on bankruptcy theory

针对属地高校招生计划分配的主观性和复杂性等问题,研究高校诚信申报计划前提下的破产模型及分配规则,进而重点研究高校出于利益需求,可能出现虚假申报其可承载的最大招生规模的现象,结合诚信申报招生计划模型得到的非整数分配解,建立虚报招生计划前提下的二次规划修正模型.实例分析说明,提出的分配方法能在不同前提下高效地实现招生计划分配,分配结果有效地避免主观因素干扰,符合实际分配规律.研究结果可为省级教育行政部门招生计划编制工作提供参考依据.

In view of the arbitrariness and complexity of the local college enrollment plan allocation,this paper put forward the bankruptcy model using the weighted constrained equal awards rule under the premise of the colleges in good faith in the enrollment plan allocation.In order to obtain more enrollment plan quotas,colleges might falsely declare more than the maximum enrollment scale.Therefore,the modified quadratic programming model under the premise of the colleges in bad faith was established by combining the non-integer distribution solutions obtained from the bankruptcy model above.The example analysis showed that the methods proposed could efficiently realize the allocation of enrollment plan under different premises.The allocation results effectively avoided the interference of subjective factors and accorded with the actual distribution results.This study provided references for the provincial education administrative departments in local college enrollment plan distribution process.