基金最优使用计划的数学模型

Mathematical Model of Funds Optimum Using Plan

就资金利用策略问题建立了一个决策优化模型。该模型考虑了资金存入银行和购买国库券的两种情形。在保证n年末仍能拥有原基金额M万元和每年奖金数大致相同 (情形 3中第三年的奖金为其它年份的 1 2倍 )的前提下 ,使得每年的奖金达到最大值。在求解过程中 ,我们根据现行银行取款规定 ,采用单利计算年利息并认为每年仅购买一次国库券 ,一旦有可利用资金就进行一次资金的分配。我们应用LINDO软件求出最优解 ,即发放奖金数额的最大值 ,并给出了具体的利用方案 ,还进行了验证。本模型的重要的结论是 :仅存款 ,最高奖金为 1 0 9 81 70万元 ;既存款又购买国库券 ,最高奖金为 1 31 82 78万元 ;第三年将奖金提高 2 0 % ,最高奖金为 1 2 8 8480万元。

This paper established a strategic optimum model on funds using tactics In thi s model we considered two conditions: to deposit funds in bank and to p urchase treasury bill (T B ) If the original funds M ten thousand Yuan keep th e same in n year and the bonuses of every year have roughly the same (in case 3, t he bonus in the third year is 1 2 times as much as other years ), we made the amounts of bonuses each year reach maximum In the process of solution, a cording to the stipulation on drawing money of p resent banks, we counted annual interest by simple interest and considered that T B was purchased only once per year Once there existed some used funds,we wo uld distribute them By computer Lindo software,we got optimum solution,that is:g ot the largest cost of granted bonuses gave specific using project and tested and v erified them Important Conclusion:If only deposit,the largest bonus is RMB 1 098170 milli on Yuan;if both deposit and purchase T B,the largest bonus is RMB 1 318278 mill io n Yuan In the third year,the bonus is increased by 20%,the largest bonus is R MB 1 288480 millon Yuan