With the maturity of 3D printing technology,3D printing parts have the advantages of small production scale,equipment after-sales service spare parts have become an important application field of 3D printing technology;However,due to factors such as cost,quality of parts,durability and so on,it is generally used to solve the emergency inventory shortage,and 3D printing parts cannot completely replace the traditional spare parts inventory system.Therefore,the joint decision of 3D printing spare parts and traditional spare parts inventory policy has become an important new problem.This paper takes the equipment manufacturer’s after-sale spare parts service system as the research object,discusses the interaction mechanism between 3D printing and traditional spare parts inventory decision,and deals with the key decisions of whether to introduce 3D printing,internal or external 3D printing,and base inventory level.The main contents of this paper include the following aspects:(1)Joint decision optimization problem of 3D printing and spare-based inventory strategy for single type of spare parts.As the comparison base of whether to introduce 3D printing,firstly,the traditional single type spare parts inventory strategy decision-making model is given.Then,considering the external supplier’s 3D printing spare parts,the joint decision model of external 3D printing and based inventory strategy was established.Then,considering internal 3D printing of spare parts by the operator,the joint decision model of internal 3D printing and spare parts based inventory strategy is established,and the discrete convexity of the objective function is proved,and the corresponding solving algorithm is given.Finally,the manufacturer’s after-sale spare parts service costs under the above scenarios are compared to make allocation decisions on whether to introduce 3D printing,internal or external 3D printing.(2)Joint decision optimization problem of 3D printing allocation and spare-base inventory strategy for multiple types of spare parts.Considering the heterogeneity of multiple types of spare parts,this paper studies which spare parts are supplied by 3D printing and which spare parts are supplied by stock during external 3D printing and internal 3D printing.Firstly,considering the 3D printing sp are parts service scenario provided by external suppliers,the joint decision model of external 3D printing allocation and spare parts base inventory strategy was established.Then the joint decision model of internal 3D printing allocation and base inventory strategy is established by considering the internal 3D printing spare parts scenario of the operator.Then,dimensionality reduction was carried out under the assumption of homogeneous parts to prove that the problem was a one-dimensional continuous convex optimization problem,and the solution and sensitivity analysis were carried out.The supermodularity of the model under the general part hypothesis is proved,and the solving algorithm is given.Finally,the influence of each parameter on the utilization rate and value of 3D printing is obtained.(3)Taking the spare parts inventory system of Siemens Transportation Group as an example,the 3D printing of single spare parts and multi-type spare parts and the optimal decision scheme of spare parts base inventory policy are studied respectively.Then,through sensitivity analysis,the influence of each parameter on optimal base inventory level,total cost of spare parts supply and 3D printing decision was obtained.Finally,through a wider range of numerical experiments,the validity of the model is further verified,and it is proved that enterprises can adjust the optimal allocation of inventory channels and 3D printing emergency channels by setting the base inventory level.Through the above research on the joint decision optimization of 3D printing and spare parts base inventory policy,the interaction mechanism and management inspiration between 3D printing and traditional spare parts inventory decision are obtained,which provides guidance and suggestions for the promotion and application of 3D printing in the spare parts service field. |