随机生产中拖后需求的变质产品最优生产策略  

Optimal production policy for deteriorating items with backlogging demand in stochastic production process

作　　者：林欣怡[1] 文晓巍[2] 达庆利[1] 

机构地区：[1]东南大学经济管理学院 [2]华南农业大学经济管理学院,广州510642

出　　处：《东南大学学报（自然科学版）》2007年第4期731-736,共6页Journal of Southeast University：Natural Science Edition

基　　金：国家自然科学基金资助项目(70472033)

摘　　要：针对部分短缺量拖后的变质产品,建立随机生产状态下的生产-库存模型.所谓随机生产状态,是指生产过程会随机地从一种可控状态向另一种不可控状态转移,当生产处于不可控状态时,会生产出一定比例的次品.其中,生产状态的转移服从均匀分布.通过生产-库存模型得到了随机生产状态下总成本函数,分析得到,该总成本函数是一个关于生产次数的凹函数,并由此提出了最优生产次数算法.最后给出了算例.算例结果表明,最优生产次数算法能够有效地将一个4n+1维的最优问题转化为一个一维问题,为变质商品的生产-库存决策提供了简便有效的方法.A production-inventory model in a stochastic production process is established for deteriorating items with partial backlogging demand. It is assumed that the process is subject to a random imperfection from an in-control state to an out-of-control state with an arbitrary distribution and, thus, produces some proportion of imperfect items. At the same time, an elapsed time to the out-ofcontrol state is uniformly distributed. Through the production-inventory model, the total cost function which is concave in a stochastic production process is obtained, and a production number algorithm which determines an optimal production number is derived. Finally, a numerical example is given. The results indicate that the optimal algorithm can effectively transform a 4n ＋ 1 dimension optimal problem into a one dimension optimal problem, and it can also present a simple and effective method for making production-inventory policy of deteriorating items.

关 键 词：变质商品 随机生产 部分短缺量拖后 最优生产-库存策略 

分 类 号：F252[经济管理—国民经济]