Title: Algorithms for Multi$-$Objective Optimization: Pareto Optimization and Weighted Sum Methods"Objective: To develop and assess algorithms for multi$-$objective optimization problems using Pareto Optimization and Weighted Sum Methods. The project aims to design approaches forbalancing multiple, often conflicting objectives and evaluate their performance in finding optimal trade$-$offs. The effectiveness of these methods will be analyzed through practical scenarios to determine their suitability for complex decision$-$making problems