基于Markov三级库存系统备件横向调拨配置模型  

Allocation model of spare parts for three-echelon inventory system with lateral transshipment based on Markov

作　　者：董琪[1] 徐廷学[2] 丛林虎[1] 

机构地区：[1]海军航空工程学院研究生管理大队,山东烟台264001 [2]海军航空工程学院兵器科学与技术系,山东烟台264001

出　　处：《系统工程与电子技术》2015年第11期2524-2530,共7页Systems Engineering and Electronics

摘　　要：针对特装器材库存系统内仓库间备件横向调拨问题,提出了基于Markov三级库存系统备件横向调拨配置模型。通过考虑基层级仓库故障件的部分修复情况,根据Markov排队理论,建立了基层级仓库分系统库存模型,得到基层级仓库库存稳态概率。对库存系统内各级进行整合,建立了三级库存系统横向调拨配置模型,结合费用参数,对该模型进行优化,构建了以期望配置总费用最小为目标、以库存容量为约束的三级库存系统横向转运费用模型。运用迭代算法和Lingo软件对模型进行求解。通过实例分析,得到横向调拨下最优配置方案产生的费用为非横向调拨下的14.55%,验证了所建模型和算法的合理性。最后,对影响库存配置的参数进行了灵敏度分析,确定了各参数对优化目标的影响程度。Focusing on the problem that there is lateral transshipment existing in the system of special equipment material, an allocation model for the three-echelon inventory system with lateral transshipment based on Markov is proposed. Combing with the condition that fault spare parts are partly restored, a subsystem in- ventory model for local warehouses is established according to a Markov queuing theory, and the steady state probability distribution is obtained. The allocation model for a three-echelon inventory system is established with aggregated local warehouses. Then the optimal model is established, and the objective is to minimize the total expected operating cost by choosing the maximum inventory level at the local warehouses. The iteration algorithm and Lingo software are used to solve and optimize the model. In the case, the optimal allocation cost is 14.55% of non-lateral transshipment condition, which shows that the proposed model and algorithm are ration- al. Finally, sensitivity analysis is made to determine the influence degree of parameters.

关 键 词：备件配置 马尔可夫排队模型 横向调拨 库存优化 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]