Research on Inventory System with Variable Vacation Rate Under Bernoulli Policy
This article proposes the concepts of short-term vacation and long-term vacation,and studies inventory systems with variable vacation rates,delayed vacation,and(s,S)replenishment strategies under the Bernoulli policy.When the system inventory is empty,the system enters a short-term vacation with a probability of 1-q,and a delayed vacation with a probability of q.If replenishment is successful during the delayed vacation period,normal operations resume;otherwise,the system enters a long-term vacation.The article utilizes Markov process theory to conduct a steady-state analysis of the system,obtaining the steady-state distribution and performance indicators such as average inventory levels and average customer loss rates.Additionally,special cases of the model are analyzed,and the optimal inventory strategy of the system is determined using a genetic algorithm.Numerical examples are provided to illustrate the impact of system parameters on steady-state performance indicators and cost functions.
Inventory systemDelayed vacationVariable vacation rate(s,S)policyMarkov process