This master's thesis will cover the development and application of operations research in maritime operations. The history of operations research dates back to the 18th century, but its official beginning is considered to be in 1939 with the publication of Leonid Vitalyevich Kantorovich's book on the subject. The methods of operations research described in this thesis include vectors, linear programming, simplex method, transportation and distribution problem, traveling salesman problem, and optimal assignment. Operations research is a complex scientific field that applies mathematical models and optimization methods to find optimal solution through a scientific approach. The process of operations research can be summarized into the following steps: setting the boundaries of the system under investigation (problem formulation), model construction, computational modeling, and application. Operations research is applied in various fields such as manufacturing, transportation, construction, telecommunications, financial planning, healthcare, maritime operations, military, etc.