Richard Duffin


Richard James Duffin was an American physicist, known for his contributions to electrical transmission theory and to the development of geometric programming and other areas within operations research.

Education and career

Duffin obtained a BSc in physics at the University of Illinois, where he was elected to Sigma Xi in 1932. He stayed at Illinois for his PhD, which was advised by Harold Mott-Smith and David Bourgin, producing a thesis entitled Galvanomagnetic and Thermomagnetic Phenomena.
Duffin lectured at Purdue University and Illinois before joining the Carnegie Institute in Washington, D.C. during World War II. His wartime work was devoted to the development of navigational equipment and mine detectors. In 1946, he became Professor of Mathematics at Carnegie Mellon University. He wrote a letter of recommendation
to Princeton University for John Forbes Nash, Jr., later a Nobel laureate. Duffin and his student Raoul Bott developed network synthesis filters when the given transfer function is a positive-real function in 1949.
In 1967 Duffin joined with Clarence Zener and Elmor Peterson to write Geometric Programming which developed a branch of mathematical programming by introducing a generalization of polynomials to posynomials for engineering applications. Impressed with its innovations, a reviewer wrote, "common sense, ingenuity and originality in applying first principles are still competitive with other creative forms of the intellect." The methods of geometric programming are sometimes adapted for convex optimization.
Duffin would remain at Carnegie Mellon until his retirement in 1988. Duffin was also a consultant to Westinghouse Electric Corporation.
Duffin was inducted to the National Academy of Sciences in 1972 and to the American Academy of Arts and Sciences in 1984. He was joint winner of the 1982 John von Neumann Theory Prize, and winner of Sigma Xi's Monie A. Ferst Award for 1984 in recognition of his ability as a teacher and communicator.
He was elected to the XXXX class of Fellows of the Institute for Operations Research and the Management Sciences.

Selected publications