Quantum optimization algorithms in operations research: methods, applications and development perspectives

Issues related to solving optimization problems using quantum algorithms are considered. It is noted that quantum optimization is defined as a promising direction of research for obtaining practical advantages in scientific and technical applications. It is emphasized separately that, despite significant achievements, such as Shor's algorithm for factorization of integers and Grover's algorithm for unstructured search problems, their application in the real world has not yet been found. It is concluded that quantum algorithms promise to solve problems with a large space of values, providing better quality solutions and faster solution time.