Abstract

In this study, a quasi-renewal process model with δ-shock is analyzed for a degenerative repairable supply chain with a single supplier source. The supplier of the supply chain system encounters shocks due to crisis events and, as a consequence, tends to fail if the interarrival time between two successive shocks is less than a random threshold. The non negligible repair time of the supplier and the random threshold time of shocks are modeled on a quasi renewal process while the shock arrivals are governed by a renewal process. The long-run average cost per unit time is derived by employing the reengineering strategy N, which is determined by the number of failures of the supplier. The optimal reengineering policy $N^{\ast }$ is obtained analytically by minimizing the long-run expected cost rate. Numerical illustrations and sensitivity analysis evidence the consideration of maintenance policy for a repairable supply chain to sustain its smooth running.

摘要

在这项研究中，针对具有单一供应商来源的退化可修复供应链分析了具有δ-冲击的准更新过程模型。供应链系统的供应商会因危机事件而遭受冲击，因此，如果两次连续冲击之间的到达时间小于随机阈值，则往往会失败。供应商不可忽略的维修时间和冲击的随机阈值时间以准更新过程为模型，而冲击到达受更新过程控制。每单位时间的长期平均成本是通过采用再造策略N得出的，该策略由供应商的失败次数决定。最优再造政策${ñ}^{*}$是通过最小化长期预期成本率通过分析获得的。数值插图和敏感性分析证明了对可修复供应链的维护政策的考虑，以维持其平稳运行。