Presenting an Exact Solution Method to Optimize the Bi-Objective Problem of Reliability and Cost of Redundancy Allocation in the Satellite Attitude Determination and Control System

Abstract

The redundancy allocation problem is to find an optimal allocation of redundant components by considering a set of different constraints. Solving these problems is of great interest to various researchers due to its high mathematical complexity. In this research, the satellite attitude determination and control system are studied, and its components are introduced. Then, the reliability and cost of this system are modeled and optimized using a mathematical approach based on redundancy allocation. The model studied in this research pertains to the configuration of a series-parallel system operating within the precise context of a satellite attitude determination and control system. This paper introduces a novel approach to modeling a bi-objective problem and optimizing it using an exact solution method. The mathematical model presented in this paper is a mixed integer non-linear programming (MINLP). In this research, an heuristic method executed in 7 steps has been employed to achieve an exact solution to the problem. Based on this approach, the optimal values for system reliability and cost are determined under various objective weighting schemes.

Keywords

• redundancy allocation
• reliability
• satellite attitude determination and control system
• mixed-integer nonlinear programming
• bi-objective optimization