Abstract: This study represents a sophisticated framework for optimizing system performance and reliability. These systems address the challenges of maintaining operational efficiency in environments where machines are prone to failures and repair resources are limited. Heterogeneous spares, characterized by varying operational and failure rates, provide flexibility in replacing failed machines, while N-policy constraints regulate repair initiation based on the number of failed machines, ensuring efficient resource allocation. Time-shared operations further enhance repair scheduling by balancing workload distribution among repair servers. This model integrates key performance measures, such as system availability, mean failed machines, and repair server utilization, alongside cost metrics like operational, repair, and idle costs, to provide a comprehensive analysis. By leveraging these components, the system aims to minimize downtime, optimize repair efforts, and reduce overall costs, making it highly applicable in manufacturing, production, and industrial maintenance domains.

Keywords: Machine repair systems, heterogeneous spares, N-policy constraints, time-shared operations, system availability, repair server utilization, failure rates

| DOI: 10.17148/IARJSET.2025.12714