Optimal Last Stock of Substitutive Service Parts

doi:10.1007/s12204-015-1686-8

Journal of Shanghai Jiao Tong University(Science) ›› 2015, Vol. 20 ›› Issue (6): 752-757.doi: 10.1007/s12204-015-1686-8

全林, 李启才

收稿日期:2014-04-08 出版日期:2015-12-20 发布日期:2020-10-09

Optimal Last Stock of Substitutive Service Parts

Lin QUAN¹, Qi-cai LI^2,^*()

¹ School of Marxism, Shanghai Jiaotong University, Shanghai 200052, China
² School of Mathematical Science, Nanjing Normal University, Nanjing 210023, China

Received:2014-04-08 Online:2015-12-20 Published:2020-10-09
Contact: Qi-cai LI E-mail:liqicai@njnu.edu.cn

摘要/Abstract

关键词: compliant assembly, residual stress, assembly deformation, finite element analysis (FEA)

Abstract:

This paper focuses on the last stock problem of substitutive service parts, which is a hot problem in practice. Considering that a firm faces two types of service parts with a certain substitution coefficient, we study the optimization problem of minimizing the total expected cost. Using the non-linear programming theory and method, we find the optimal preserved quantities for the optimization problem. The relation between the product substitution characteristic and the total cost of service parts is analyzed. And an example is given to show the application of our model.

Key words: laterally loaded piles, hydraulic head, land deformation, pumping-recovery, $m$-method, back analysis, horizontal displacement, outage performance, magnetic resonance imaging (MRI), sparse representation, non-convex, generalized thresholding, amplify-and-forward (AF), beamforming, channel state information (CSI), power control, cognitive radio, monotone optimization, heterogeneous circumstance, Stackelberg game, fairness, supply chain coordination, dictionary updating, alternating direction method, two-level Bregman method with dictionary updating (TBMDU), price, circular excavation, heterogeneity, substitution, service parts, last stock, admission control scheme, handover service, high-speed train communication, S-clay1 model, undrained compression test, functionally graded materials, low-velocity water entry, cylinder structure, cylindrical sandwich panel, rectangular sandwich plate, simply supported, free vibration, resting-state brain function network, supercavitating, ventilated, dynamic mesh, pitching, model network, connection distance minimization, topological property, anatomical distance, wall effect, underwater glider, nonlinear control, adaptive backstepping, Lyapunov function, cylinder radius, initial velocity, entry angle, soft soil, strain-dependent modulus, common neighbor, video capsule endoscopy (VCE), frame rate, working hours, in vivo experiment

中图分类号:

F 253.4

全林, 李启才. [J]. Journal of Shanghai Jiao Tong University(Science), 2015, 20(6): 752-757.

Lin QUAN, Qi-cai LI. Optimal Last Stock of Substitutive Service Parts[J]. Journal of Shanghai Jiao Tong University(Science), 2015, 20(6): 752-757.

参考文献 19

[1]	Teunter R H, Fortuin L.End-of-life service: A case study[J]. European Journal of Operational Research, 1998, 107(1): 19-34.
[2]	Wong H, Cattrysse D, van Oudheusden D. Stocking decisions for repairable spare parts pooling in a multi-hub system[J]. International Journal of Production Economics, 2005, 93: 309-317.
[3]	Fu Y.Research on service parts logistics operation based on continuous production[J]. Logistics Technology, 2002, 1(22): 28-30.
[4]	Kutanoglu E, Lohiya D.Integrated inventory and transportation mode selection: A service parts logistics system[J]. Transportation Research. Part E: Logistics and Transportation Review, 2008, 44(5): 665-683.
[5]	Tiemessen H G H, Fleischmann M, van Houtum G J, et al. Dynamic demand fulfillment in spare parts networks with multiple customer classes[J]. European Journal of Operational Research, 2013, 228(2): 367-380.
[6]	Caggiano K E, Jackson P L, Muckstadt J A,et al.Optimizing service parts inventory in a multiechelon, multi-item supply chain with time-based customer service-level agreements[J]. Operations Research, 2007, 55(2): 303-318.
[7]	Yang G Y, Dekker R, Gabor A F,et al.Service parts inventory control with lateral transshipment and pipeline stock flexibility[J]. International Journal of Production Economics, 2013, 142(2): 278-289.
[8]	Caglar D, Li C L, Simchi-Levi D.Two-echelon spare parts inventory system subject to a service constraint[J]. IIE Transactions, 2004, 36(7): 655-666.
[9]	Pasternack B A, Drezner Z.Optimal inventory policies for substitutable commodities with stochastic demand[J]. Naval Research Logistics, 1991, 38(2): 221-240.
[10]	Stavrulaki E.Inventory decisions for substitutable products with stock-dependent demand[J]. International Journal of Production Economics, 2011, 129(1): 65-78.
[11]	Rao U S, Swaminathan J M, Zhang J.Multi-product inventory planning with downward substitution, stochastic demand and setup costs[J]. IIE Transactions, 2004, 36(1): 59-71.
[12]	Bassok Y, Anupindi R, Akella R.Single-period multiproduct inventory models with substitution[J]. Operations Research, 1999, 47(4): 632-642.
[13]	Frank K C, Zhang R Q, Duenyas I.Optimal policies for inventory systems with priority demand classes[J]. Operations Research, 2003, 51(6): 993-1002.
[14]	Xu H, Yao D, Zheng S.Optimal control of replenishment and substitution in an inventory system with non-stationary batch demand[J]. Production and Operations Management, 2011, 20(5), 727-736.
[15]	Tan B, Karabati S.Retail inventory management with stock-out based dynamic demand substitution[J]. International Journal of Production Economics, 2013, 145(1): 78-87.
[16]	Rudi N, Kapur S, Pyke D F.A two-location inventory model with transshipment and local decision making[J]. Management Science, 2001, 47(12): 1668-1680.
[17]	Rockafellar R T.Convex analysis [M]. Princeton, New Jersey: Princeton University Press, 1997.
[18]	van Slyke R, Wets R. Programming under uncertainty and stochastic optimal control[J]. SIAM Journal on Control, 1966, 4(1): 179-193.
[19]	Yang Shi-lin, Peng Liang-xue.Derivative problem on double integral function[J]. Studies in College Mathematics, 2006, 9(2): 40-41 (in Chinese).

Optimal Last Stock of Substitutive Service Parts

RichHTML

可视化

摘要/Abstract

引用本文

使用本文

参考文献 19

相关文章 3

编辑推荐

Metrics

本文评价

[1]	WANG Xianjin, GAO Xu, YU Kuigang . Fixture Locating Modelling and Optimization Research of Aluminum Alloy Sidewall in a High-Speed Train Body[J]. J Shanghai Jiaotong Univ Sci, 2020, 25(6): 706-713.
[2]	张丽娜, 王华, 李淑慧. [J]. Journal of Shanghai Jiao Tong University(Science), 2015, 20(6): 641-648.
[3]	WANG Si-ling1* (王司令), SONG Bao-wei1 (宋保维), DUAN Gui-lin2 (段桂林), DU Xi-zhao3 (杜喜昭. Automatic Wireless Power Supply System to Autonomous Underwater Vehicles by Means of Electromagnetic Coupler[J]. 上海交通大学学报（英文版）, 2014, 19(1): 110-114.