基于CML模型的编队器材携带方案优化方法

Optimization method of carrying maintenance material support project for warship formation based on CML model

随船备件配置优化问题研究目前主要集中在只有定量或定性约束上,而对既有定性约束又有定量约束的混合约束问题未见文章提及,同时研究对象多为单船,而对舰艇编队研究比较少。针对此问题,以舰艇编队出海任务准备阶段为背景,以保障费用、舰艇仓库空间、舰艇最大排水量及舰员维修能力作为模型的约束条件,以编队备件保障概率为目标函数,采用正态逆向云模型、边际效应法及拉格朗日乘子法(称为CML模型)对此类问题进行求解,给出系统资源因子求解步骤及分析方法,并对本模型进行动态调整和优化。实例分析表明本模型求解方法和步骤可以为多个定量和定性约束下舰船备件携带问题提供新的参考。

At present, studies in spares allotment optimization area mainly focus on the conditions that there is only qualitative or quantitative constraint. Nevertheless, the mix-conditions have not been reported to the best of our knowledge from the literatures. The researches usually concern the single warship, but fewer show concern about the warship formation. In view of this problem, the mission preparation of warship formation before sailing was taken as a research background; the warship formation support cost, warship storage space, warship carrying ability and crew maintenance ability were adopted as the mixed-constraints conditions; the spare parts support probability was served as the objective function. A normal reverse distribution cloud model, the marginal effect and the Lagrange multiplier methods （ CML model） were used to solve such warship formation spare parts allotment problem. A method was proposed for the determination and dynamical updating of system resource constraint factors, meanwhile, the selecting methods and calculating process of the model was optimized. The reliability of the method which can provide a new trial for the problem of warship formation spare parts allotment under the mixed constraints condition was proved by an actual case.