考虑期望体系效能衰减的舰艇编队等级修理计划优化

doi:10.12305/j.issn.1001-506X.2022.11.34

摘要/Abstract

摘要：

舰艇编队等级修理计划优化直接关系到各类战训任务的有效完成和修理经费的科学使用。基于“定期与'双控’相结合”修理模式, 考虑舰艇编队的体系化运用、舰艇效能衰减特性以及决策者期望和偏好, 运用前景理论综合构建舰艇编队期望体系效能模型, 进而以体系效能价值函数最大为目标, 以修理工期、跨期修理、修理经费、装备效能、在航率等为约束条件, 系统构建面向舰艇编队的等级修理计划优化模型, 最后运用基于混合编码的粒子群优化算法对模型进行求解。结果表明, 该方法相对传统的计划编制方法, 舰艇编队体系效能和分项效能更高, 舰艇使用与修理之间的关系协调更好, 对于科学编制舰艇编队等级修理计划, 确保舰艇编队战训任务有效完成能够提供有力的技术支撑。

关键词: 舰艇编队, 等级修理计划, 装备体系, 期望效能, 效能衰减

Abstract:

The fleet level repair plan optimization is directly related to the effective completion of various combat training tasks and the scientific use of maintenance cost. Based on a combined periodic and dual control repair model, considering the fleet system utilization, warship effectiveness attenuation characteristics and the expectations and preference of decision makers, the expectation effectiveness evaluation model of the fleet system is constructed by prospect theory. Further, the maximization of the fleet system effectiveness value function is as the objective, considering the constraints such as the maintenance period, inter-period repair, maintenance cost, equipment effectiveness and availability ratio, the fleet level repair plan optimization model is established. The mixed coding particle swarm optimization (PSO) algorithm is used to optimize the model. The results show that compared with the traditional method, this method has higher efficiency and itemized efficiency of fleet, and better coordination between warship use and maintenance. It can provide a strong technical support for the scientific preparation of fleet repair plan and the effective performance of naval missions.

Key words: fleet, class repair plan, equipment system, expected effectiveness, effectiveness attenuation

中图分类号:

TK42

蒋铁军, 于淳, 周成杰. 考虑期望体系效能衰减的舰艇编队等级修理计划优化[J]. 系统工程与电子技术, 2022, 44(11): 3571-3578.

Tiejun JIANG, Chun YU, Chengjie ZHOU. Fleet level repair plan optimization considering expected system effectiveness attenuation[J]. Systems Engineering and Electronics, 2022, 44(11): 3571-3578.

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舰艇编号	指挥控制能力X	机动能力M	防御能力F	进攻能力J	保障能力L
舰艇1	X₁	M₁	F₁	J₁	L₁
舰艇2	X₂	M₂	F₂	J₂	L₂
⋮	⋮	⋮	⋮	⋮	⋮
舰艇n	X_n	M_n	F_n	J_n	L_n

舰艇编号	指挥控制能力X	机动能力M	防御能力F	进攻能力J	保障能力L	总体效能P
舰艇1	90	90	90	90	90	90
舰艇2	90	90	75	75	73	80
舰艇3	50	60	80	60	40	60
舰艇4	35	60	70	50	40	52
舰艇5	35	60	60	45	35	47.5
舰艇6	20	70	30	30	95	43.75
舰艇7	10	60	25	25	90	37

舰艇编号	修理级别	预算指标/万元	修理工期/月	恢复效能	效能函数	已使用时间/月	使用效能下限
舰艇1	一级	4 000	5	45	$ \frac{90}{1+\mathrm{e}^{0.4(t-24)}}$	24.5	30
舰艇2	三级	1 500	1.5	20	$ \frac{80}{1+\mathrm{e}^{0.4(t-23)}}$	18	50
舰艇3	一级	2 000	2.5	30	$ \frac{60}{1+\mathrm{e}^{0.4(t-23)}}$	10	20
舰艇4	二级	1 000	1.5	17	$\frac{52}{1+\mathrm{e}^{0.5(t-21.5)}} $	13	22
舰艇5	三级	500	1	12	$\frac{47.5}{1+\mathrm{e}^{0.45(t-19.5)}} $	6	25
舰艇6	二级	900	1.5	19	$ \frac{43.75}{1+\mathrm{e}^{0.35(t-21)}}$	14.5	14
舰艇7	三级	450	1	9	$ \frac{37}{1+\mathrm{e}^{0.35(t-21)}}$	13	16

舰艇编号	修理级别	预算指标/万元	修理起止时间	舰艇编队体系效能价值
舰艇1	一级	2 000	1月1日~3月15日
舰艇2	三级	1 500	3月15日~5月1日
舰艇4	二级	1 000	8月2日~9月17日	77.74
舰艇6	二级	900	6月25日~8月10日
舰艇7	三级	450	5月25日~6月25日

舰艇编号	修理级别	预算指标/万元	修理起止时间	舰艇编队体系效能价值
舰艇1	一级	2 000	1月1日~3月15日
舰艇2	三级	1 500	3月7日~4月22日
舰艇4	二级	1 000	8月2日~9月17日	71.95
舰艇6	二级	900	6月25日~8月10日
舰艇7	三级	450	6月1日~7月1日