【摘要】 企业的生产率和库存直接影响了企业的经济效益。因此,制定科学合理的生产——库存计划是企业生产过程中的重要一步。本文考虑企业购买财产保险对生产库存的约束,研究基于保险约束的生产——库存最优控制问题,通过高斯切比雪夫逼近的方法,推出保险约束下生产——库存模型最优解所满足的必要条件,接着构造哈密顿函数进行求解。更多还原

【Abstract】 The productivity and inventory of enterprises directly affect their economic efficiency. Therefore, making scientific and reasonable production-inventory plan is an important step in the production process.Considering the constraints of purchasing property insurance on production and inventory,this paper discusses the optimal control problem of production-inventory under the condition of the insurance constraint. The Gauss-Chebyshev approximation method is adopted in this novel to derive the necessary conditions for the optimal solution of the production-inventory model under the condition of the insurance constraint. Finally, this problem is solved by constructing Hamiltonian function.更多还原