Mitigating Server Failures in Single-Server Queues: A Study on N-Policy with Setup Time Considerations

This study investigates the efficacy of N-policy in mitigating server failures within single-server queues, incorporating considerations for setup times. Server reliability is a critical factor in queueing systems, as unexpected failures can disrupt service and degrade performance. The N-policy, which regulates the number of spare servers maintained to handle failures, is examined in this context. We analyze the impact of varying N-values on system performance metrics such as average waiting time, queue length, and server utilization. Additionally, we incorporate setup time considerations, recognizing the time required to bring a failed server back into operation after repair. Through analytical modelling and simulation techniques, we evaluate the trade-offs between N-policy parameters and setup times to optimize system performance under reliability constraints. Our findings provide insights into effective strategies for managing server failures in single-server queues, enhancing system resilience and efficiency.