A Comparative Study of Lagrangean Multiplier Method and Integer Programming Approach for Efficiency Design in Parallel-Series Configuration

The Integrated Redundant Reliability Model (IRRM) represents an innovative approach to reliability engineering, employing a Parallel-Series Configuration to enhance system dependability. The performance of the system hinges on the effectiveness of each component within the parallel-series structure, surpassing the efficiency of a single-system factor with a comparable setup. To address component efficiencies, factors in each phase, and existing constraints, this paper introduces a customized Integrated Reliability Model (IRM) specifically designed for the parallel-series scenario. In this model, redundant components are arranged in parallel within subsystems, providing immediate fallback for a specialized machine that is specifically designed for the assembly of an IC Engine. The interconnected series configuration ensures operational continuity in the event of one subsystem failure, thereby minimizing vulnerabilities associated with both parallel and series configurations. Particularly beneficial in critical systems, the integrated approach aims to enhance reliability levels. The model utilizes Lagrangean methods for computing variable quantities, effectiveness, and phase reliability, taking into account various criteria to improve overall system efficiency. Adjustments to simulation techniques and Integer Programming approaches guarantee integer outputs, contributing to the realism of obtained values. This research provides valuable insights into optimizing system reliability and efficiency through integrated redundancy strategies.