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George Dantzig

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George Bernard Dantzig was a highly influential American mathematical scientist. He made major contributions to several complex fields. These included industrial engineering, operations research, computer science, economics, and statistics. Dantzig is most famous for developing the simplex algorithm. This is a specific mathematical method used to solve linear programming problems. Linear programming is a way to find the best possible outcome within a mathematical model. This might mean finding the maximum profit or the lowest possible cost. His work changed how many modern industries manage their daily operations.

George B. Dantzig at National Medal of Science Awards Ceremony, 1976 2
George B. Dantzig at National Medal of Science Awards Ceremony, 1976 2

Dantzig's journey into mathematics began in his childhood. He was born on November 8, 1914, to Jewish parents in Portland, Oregon. His father, Tobias Dantzig, was a mathematician and a linguist. His mother, Anja Dantzig, was also a linguist of French-Lithuanian origin. His father nurtured George's interest in geometry by giving him difficult problems. These problems often focused on projective geometry. Dantzig earned his B.S. in mathematics and physics from the University of Maryland in 1936. He later earned a master's degree from the University of Michigan in 1937. Eventually, he joined a doctoral program at the University of California, Berkeley.

A famous story from his time at Berkeley illustrates his unique approach to problems. While studying statistics under Jerzy Spława-Neyman, Dantzig arrived late to a lecture. He saw two problems written on the blackboard and assumed they were homework. He noted that they seemed harder than his usual assignments. However, he completed the solutions and handed them in a few days later. It turned out these were actually two famous unsolved problems in statistical theory. Spława-Neyman was so excited that he prepared one solution for a mathematical journal. This event became a famous lesson regarding the power of positive thinking. It even inspired scenes in the film Good Will Hunting.

During World War II, Dantzig's mathematical skills were applied to military needs. He took a leave of absence from Berkeley to work for the United States Army Air Forces. From 1941 to 1946, he led the combat analysis branch of the Headquarters Statistical Control. This work helped develop the mathematical models used for wartime planning. These models were designed to reduce costs to the army and increase losses to the enemy. This research was kept secret until 1947. After the war, Dantzig returned to Berkeley to complete his PhD in 1946. He later joined the RAND Corporation in 1952 and eventually became a professor at Stanford University.

The core of Dantzig's legacy is the development of the simplex algorithm. Before this algorithm, solving complex linear programming problems was incredibly difficult. For example, consider the task of assigning 70 people to 70 different jobs. The number of possible configurations for this task is enormous. In fact, the number of permutations exceeds the number of particles in the universe. Testing every single option would be impossible for any computer. However, the simplex algorithm allows a computer to find the optimum solution almost instantly. It does this by drastically reducing the number of possible solutions that must be checked.

Today, the applications of linear programming are found in many different sectors. The airline industry uses these methods to schedule flight crews and assign fleets. Shipping companies use them to decide how many planes are needed and where to deploy trucks. The oil industry uses linear programming for refinery planning. This helps them determine how much raw product should become different grades of gasoline. Other fields include manufacturing, telecommunications, advertising, architecture, and circuit design. Because of his work, Dantzig is considered a founder of the development of linear programming.

George B. Dantzig at National Medal of Science Awards Ceremony, 1976 2
George B. Dantzig at National Medal of Science Awards Ceremony, 1976 2

Dantzig received many prestigious honors throughout his long career. In 1974, he received the first John von Neumann Theory Prize. In 1976, President Gerald Ford presented him with the National Medal of Science. This award recognized his inventions in linear programming and his work in logistics and network optimization. He was also a member of the National Academy of Sciences and the National Academy of Engineering. The Mathematical Programming Society created the George B. Dantzig Prize in his honor. This prize is given every three years to people who impact the field of mathematical programming. Dantzig passed away on May 13, 2005, at the age of 90.

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