Operations research

Operations research, often shortened to OR, is a branch of applied mathematics that helps improve decision-making and management. It uses methods from modeling, statistics, and optimization to find the best solutions to complex problems. This field focuses on finding the maximum or minimum values of important goals, like the most profit or the least cost.

Operations research began with military efforts before World War II and has since expanded to many industries. It overlaps with other disciplines, such as industrial engineering, because of its practical applications. By using mathematical tools, operations research helps businesses and organizations make smarter choices and solve difficult challenges more effectively.

Overview

Operations research, often called OR, is a field that helps people make better decisions and work more efficiently. It uses many different tools and methods, like simulation, mathematical optimization, and queueing theory, to solve problems. These tools help create models that describe how systems work.

OR is connected to computer science and analytics. People who work in OR choose the best tools for each problem or create new ones if needed. Some important areas in OR include financial engineering, manufacturing, service sciences, supply chain management, revenue management, simulation, stochastic models, transportation theory, game theory, linear programming, and many more.

History

After the two world wars, the methods of operations research were used more widely in business, industry, and society. Over time, operations research expanded into many fields, including petrochemicals, airlines, finance, logistics, and government. It focuses on creating mathematical models to analyze and improve complex systems, and it remains an important area of research both in academia and industry.

In the 17th century, mathematicians like Blaise Pascal and Christiaan Huygens solved decision-making problems using ideas from game theory and expected values. Others used combinatorial reasoning. In the 19th century, Charles Babbage’s work on transportation costs led to England’s universal "Penny Post" in 1840. The modern field of operations research began in 1937 at the Bawdsey Research Station in the UK, where researchers aimed to improve the UK’s early-warning radar system, called "Chain Home".

During World War II, operations research became very important. Scientists used it to help make better decisions in areas like logistics and training schedules. For example, they studied the best ways to protect ships and aircraft, improving strategies for combat and resource use. After the war, operations research grew into a broader field, applying its methods to many civilian areas, such as planning and industry. The development of computers allowed operations research to solve even larger and more complex problems.

Problems addressed

Operations research helps solve many kinds of problems. It can plan projects by finding which steps take the most time. It helps design factories and computer chips to save time and money. It optimizes networks, like telephone or power grids, to keep them working well even when parts are out of service.

Other problems include deciding where to place facilities, assigning tasks to people or machines, searching for lost items, planning bus routes, managing supply chains, automating processes, and setting prices to best suit customers. It is also used in government to make policies based on strong evidence.

Management science

Main article: Management science

Management science is a field that uses operations research models to help make better decisions in business. It is a branch of applied mathematics that focuses on finding the best ways to plan and make decisions. It uses scientific methods, like statistics and mathematical modeling, to help businesses and other organizations solve complex problems and reach their goals.

Management science can be used in many areas, such as airlines, hospitals, and government. It helps with things like deciding where to build new factories, scheduling flights, or managing supplies. It also looks at strategies and planning, using different tools to understand and solve problems.

Societies and journals

The International Federation of Operational Research Societies (IFORS) connects operational research groups from around the world, including countries like the US, UK, France, Germany, Italy, and others. It helps organize big meetings every few years and supports smaller regional groups, such as the Association of European Operational Research Societies (EURO).

The Institute for Operations Research and the Management Sciences (INFORMS) publishes many important journals about operations research. Some well-known ones include Management Science, Operations Research, and Interfaces. There are also many other journals from different countries and groups that focus on this subject.