Optimization method of multi-echelon system equipment configuration under unsteady state and multi-constraint
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摘要:
针对非稳态及多约束下多层级系统器材配置问题进行了研究。首先，以索马里护航器材利用率非常低为研究背景，给出了基地和中心仓库备件需求率求解方法；其次，运用边际效应法、拉格朗日乘子法求出了3个约束条件的因子值；再次，按是否进行串件拼修或横向供应2种情况，建立了多层级系统器材配置的4个方案；最后，通过案例对比分析了4个方案，可为决策者制定编队平时和战时器材配置方案提供有效的参考依据。
Abstract:Some related questions in system equipment configuration under unsteady state and multi-constraint are discussed. First, taking the very low utilization rate of escort equipment in the waters off Somalia as study background, the paper presents the solution to base and central warehouse spare parts demand rate. Second, the factors of three constraints are calculated by using the edge effect method and Lagrange multiplier method. Then, four projects of multi-echelon system equipment configuration are built according to whether considering the cannibalization or lateral transshipment policy. Finally, the results of four projects are comparatively analyzed, and numerical projects show that an indicative reference can be provided for decision-makers to make up warship formation equipment configuration projects in peace and war time.
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Key words:
- spare parts /
- warship formation /
- lateral transshipments /
- cannibalization /
- multi-constraint
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图 1 费用约束下基地、中心仓库及编队的费效曲线
Figure 1. Cost effectiveness of warship,central support warehouse and warship formation under cost constraint
图 2 多约束下的基地、中心仓库及编队的费效曲线
Figure 2. Cost effectiveness of warship,central support warehouse and warship formation under multi-constraints
表 1 舰艇编队备件携带方案
Table 1. Warship formation spare parts carrying project
备件携带方案 是否串件拼修 是否横向供应 1 N N 2 N Y 3 Y N 4 Y Y 
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表 2 备件保障参数信息
Table 2. Information of spare parts support parameters
备件 Z MTBF/h C/万元 M/kg V/m3 r1 r2 r3 Tw LRU1 1 998 5.2 28.7 1.8 0.8 0.8 0.8 0.5 LRU2 1 1 617 4.1 12.3 2.1 0.7 0.7 0.7 0.4 LRU3 1 1 053 3.9 6.5 0.9 0.9 0.9 0.9 0.7 LRU4 1 552 8.3 3.7 1.9 0.8 0.8 0.8 0.7 LRU5 1 1 001 2.1 4.2 4.1 0.9 0.9 0.9 0.6 LRU6 1 1 775 4.5 13.6 1.3 0.8 0.8 0.8 0.8 SRU11 1 2 234 1.6 1.9 0.6 0 0 0 0.5 SRU12 1 997 1.8 3.1 0.5 0 0 0 0.5
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表 3 费用约束下的4个方案可用度
Table 3. Availability of four projects under cost constraint
方案 保障站点 指标 可用度
A/%站点 编队 C/万元 M/kg V/m3 C/万元 M/kg V/m3 A/% C/万元 M/kg V/m3 1 基地 130 314 54.0 85.24 125.5 289.6 54.8 86.56 504.5 1 176.6 220.2 中心仓库 132 360 55.5 90.43 128.0 307.8 55.8 2 编队 522 1 302 217.5 99.29 516.3 1 205.7 221.2 99.29 516.3 1 205.7 221.2 3 基地 130 314 54.0 90.22 122.2 314.4 57.6 91.82 493.2 1 304.3 229.0 中心仓库 132 360 55.5 96.62 126.6 361.1 56.2 4 编队 522 1 302 217.5 99.94 521.1 1 315.5 232.0 99.94 521.1 1 315.5 232.0
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表 4 多约束下的4个方案可用度
Table 4. Availability of four projects under multi-constraint
方案 保障站点 指标 可用度
A/%站点 编队 C/万元 M/kg V/ m3 C/万元 M/kg V/m3 A/% C/万元 M/kg V/m3 1 基地 130 314 54.0 52.62 125.2 288.5 51.2 62.35 505.6 1 181.4 207.4 中心仓库 132 360 55.5 91.54 130.0 315.9 53.8 2 编队 522 1 302 217.5 99.23 515.8 1 201.5 217.1 99.23 515.8 1 201.5 217.1 3 基地 130 314 54.0 59.82 111.0 275.0 50.8 68.76 451.4 1 157.4 206.8 中心仓库 132 360 55.5 95.57 121.4 332.4 54.4 4 编队 522 1 302 217.5 99.85 497.8 1 223.8 216.8 99.85 497.8 1 223.8 216.8
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