This paper introduces a model for managing imperfect maintenance in multi-component systems, and addresses the Selective Maintenance Problem with the inclusion of perfect preventive and corrective actions. Another significant contribution is our proposal of a heuristic that aims to provide nearly optimal solutions to this intricate problem. Our model prioritizes efficient resource utilization, taking into account positive economic and structural dependencies among system components. Furthermore, we introduce a virtual age reduction model that uses real age, historical imperfect actions, and the ratio of imperfect to perfect actions. Additionally, a cutting-edge system performance indicator is perfectly aligned with the multi-mission approach, and aims at sustained long-term efficiency. Effectiveness is measured by a metric that integrates post-maintenance reliability and maintenance cost, showcasing resilience in evaluating the performance of selective maintenance. To address the problem's complexity, we introduce a heuristic algorithm that produces compelling outcomes, with a relative error of less than 0.25% in most instances.