自动化学报2018，Vol.44Issue(2)：270-279,10.DOI:10.16383/j.aas.2018.c160514
双源采购跳跃-扩散库存控制模型
A Jump-diffusion Inventory Control Model with Dual-sourcing
摘要
Abstract
Supply disruptions and returns may lead to stock shortage and fluctuation.So it is a very difficult problem for today's managers to mitigate their influence.Under the condition that a dual-sourcing strategy is utilized to tackle the stock shortage and a jump-diffusion process is adopted to express the inventory level process,the stationary distribution of the inventory level,as well as the expected cycle cost and time functions are derived by applying continuous-time Markov chain,level-crossing and martingale theorems.Subsequently,the functions are employed to develop a long-run average cost rate model.Finally,numerical results show that the suppliers' reliability and the nature of the disruptions have a big impact on the optimal policy and cost.Moreover,the dual-sourcing strategy can mitigate the influence of supply disruptions on inventory effectively,in particular,when the suppliers' reliability are lower or their disruptions are rare and long in nature.关键词
库存控制/供应中断/双源采购/跳跃-扩散/水平穿越Key words
Inventory control/supply disruption/dual sourcing/jump-diffusion/level-crossing引用本文复制引用
娄山佐,田新诚,吴颖颖..双源采购跳跃-扩散库存控制模型[J].自动化学报,2018,44(2):270-279,10.基金项目
国家自然科学基金(61703241),山东省重大科技创新工程(2017CXGC0601),山东省重点研究计划(2016ZDJS02B03)资助 Supported by National Natural Science Foundation of China (61703241),Major Science and Technology Innovation Project of Shandong Province (2017CXGC0601),and Key Research and Development Project of Shandong Province (2016ZDJS02B03) （61703241）
