考虑再造的多产品维修零配件供应优化研究

Multi-product supply planning for military spare parts with remanufacturing consideration

现代战场环境具有高度的不确定性,对维修零配件的需求数量是不确定的。同时,对战场上的战损件进行及时修复再造,与后方调运的零配件共同满足维修零配件需求,既可以及时满足战场需求,又能降低维修零配件的储运成本。但是战损件能否修复存在一定的不确定性,给战场维修零配件的供应优化带来新的挑战。在考虑维修零配件需求和战损件修复不确定性的条件下,研究了战场上多产品维修零配件供应优化问题,建立了优化问题的数学模型,基于拉格朗日松弛开发了模型的求解算法,以不同规模的随机测试算例验证了算法的有效性与鲁棒性。

In modern battlefield environment, the demand for military spare parts is uncertain because of high uncertainty in battlefield. In the same time, the broken parts in battlefield can be remanufactured into new ones in time, and used to satisfy the demand together with the parts delivered from backside. This supply pat- tern can both satisfy the demand in time and reduce the costs for delivery and store. New challenges are brought for the optimization of military spare parts supply, as the remanufacturing rate for the broken parts is usually uncertain. The supply planning problem for multiples military spare parts is studied with the consideration of uncertainties from demand and remanufacturing. A mathematical model is presented to formulate the problem, and the Lagrangian relaxed approach is developed to solve the model. Randomly generated examples with differ- ent sizes are used to test the effectiveness and robustness of the solution approach.