损失率及变质情形下可替代物品的EOQ模型  

An EOQ Model with Substituting Items under Loss Rate and Deteriorating

作　　者：徐德英[1] 

机构地区：[1]曲阜师范大学运筹与管理学院,山东日照276826

出　　处：《临沂师范学院学报》2010年第6期13-20,共8页Journal of Linyi Teachers' College

基　　金：国家自然科学基金项目(10671108);曲阜师范大学科研基金项目(XJZ200849)资助

摘　　要：研究了损失率及变质情形下可替代物品的经济订货批量问题.在计划期内,若某一种易变质物品发生缺货,则可以被另一种易变质物品以一定的替代率代替补充,不同物品有不同的变质率,且短缺量部分拖后供给.以总利润最大为目标函数,建立了一个三阶供应链模型,得到了最优订购策略.证明了最优策略存在的唯一性,并分别给出了求解最优订购策略的算法,最后通过一个算例验证了算法的最优性.The paper considers the economic order quantity problem for substituting items under loss rate and deteriorating,in which shortage of one deteriorating item may be replenished by the other deteriorating item with the fixed substituting rate in planned horizon.Different items have different deteriorating rates,and shortages are backlogged partially.In order to maximize the total profit,a three-phase supply chain model is established to obtain the optimal ordering policy.we prove the existence and uniqueness of the optimal policy and present an algorithm to find the optimal ordering policy.At last we show the model and solution procedure by one example.

关 键 词：库存理论 模型 替代 部分拖后供给 变质 

分 类 号：F252.4[经济管理—国民经济] F253.4