Mathematical Programming Society
Encyclopedia
Known as the Mathematical Programming Society until 2010, the Mathematical Optimization Society (MOS) is an international association of researchers active in optimization
. The MOS encourages the research, development, and use of optimization—including mathematical theory
, software implementation, and practical applications (operations research)
.
Founded in 1973, the MOS has several activities: Publishing journals and a newsletter, organizing and cosponsoring conferences, and awarding prizes.
methods were gaining increasing importance both in mathematical theory and in industrial application. To provide a discussion forum for researchers in the field arose, the journal Mathematical Programming was founded in 1970.
Based on activities by George Dantzig, Albert Tucker
, Phil Wolfe and others, the MOS was founded in 1973, with George Dantzig as its first president.
The MOS awards a number of important prizes in the field of optimization. In particular, this includes the Fulkerson Prize
, the Dantzig Prize and the Tucker
Prize.
SIAM the Mathematical Optimization Society awards the George B. Dantzig Prize for "original research that has had a major impact on the field of mathematical programming". This prize was first awarded in 1982 to Michael J. D. Powell
and R. Tyrrell Rockafellar
.
Since then it has been awarded every three years; the recipients are Ellis L. Johnson
and Manfred W. Padberg (1985), Michael J. Todd (1988), Martin Grötschel and Arkadi Nemirovski
(1991), Claude Lemaréchal
and Roger J-B Wets (1994), Roger Fletcher
and Stephen M. Robinson (1997), Yurii Nesterov (2000), Jong-Shi Pang and Alexander Schrijver (2003), Eva Tardos
(2006).
Optimization (mathematics)
In mathematics, computational science, or management science, mathematical optimization refers to the selection of a best element from some set of available alternatives....
. The MOS encourages the research, development, and use of optimization—including mathematical theory
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, software implementation, and practical applications (operations research)
Operations research
Operations research is an interdisciplinary mathematical science that focuses on the effective use of technology by organizations...
.
Founded in 1973, the MOS has several activities: Publishing journals and a newsletter, organizing and cosponsoring conferences, and awarding prizes.
History
In the 1960s, mathematical programmingOptimization (mathematics)
In mathematics, computational science, or management science, mathematical optimization refers to the selection of a best element from some set of available alternatives....
methods were gaining increasing importance both in mathematical theory and in industrial application. To provide a discussion forum for researchers in the field arose, the journal Mathematical Programming was founded in 1970.
Based on activities by George Dantzig, Albert Tucker
Albert W. Tucker
Albert William Tucker was a Canadian-born American mathematician who made important contributions in topology, game theory, and non-linear programming....
, Phil Wolfe and others, the MOS was founded in 1973, with George Dantzig as its first president.
Conferences
Several conferences are organized or co-organized by the Mathematical Optimization Society, for instance:- The International Symposium on Mathematical Programming (ISMP), organized every three years, is open to all fields of mathematical programming.
- The Integer Programming and Combinatorial Optimization (IPCO) conference is the most important conference in Integer programmingInteger programmingAn integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers. In many settings the term refers to integer linear programming, which is also known as mixed integer programming.Integer programming is NP-hard...
and is always held in those years where there is no ISMP. - The International Conference on Continuous Optimization (ICCOPT), the continuous analog of the IPCO conference, was first held in 2004.
- The International Conference on Stochastic Programming (ICSP) takes place every three years and is devoted to optimization using uncertain input data.
- The Nordic MOS conference is a biannual meeting of researchers from ScandinaviaScandinaviaScandinavia is a cultural, historical and ethno-linguistic region in northern Europe that includes the three kingdoms of Denmark, Norway and Sweden, characterized by their common ethno-cultural heritage and language. Modern Norway and Sweden proper are situated on the Scandinavian Peninsula,...
working in all fields of optimization. - At the Université de MontréalUniversité de MontréalThe Université de Montréal is a public francophone research university in Montreal, Quebec, Canada. It comprises thirteen faculties, more than sixty departments and two affiliated schools: the École Polytechnique and HEC Montréal...
, annual seminars on changing topics are organized by the MOS.
Journals and Prizes
The Mathematical Optimization Society publishes several journals:- Mathematical Programming (series A/B) is one of the most renowned journals in this research area. While series A publishes articles from all fields of optimization, each issue of series B is devoted to a particular subject.
- Optima, the newsletter of the MOS, contains articles on optimization, conference information and book reviews.
- MPS/SIAM Series on Optimization is a series of books that is jointly published by the MOS (formerly MPS) and the Society for Industrial and Applied MathematicsSociety for Industrial and Applied MathematicsThe Society for Industrial and Applied Mathematics was founded by a small group of mathematicians from academia and industry who met in Philadelphia in 1951 to start an organization whose members would meet periodically to exchange ideas about the uses of mathematics in industry. This meeting led...
(SIAM). It has published monographMonographA monograph is a work of writing upon a single subject, usually by a single author.It is often a scholarly essay or learned treatise, and may be released in the manner of a book or journal article. It is by definition a single document that forms a complete text in itself...
s, textbookTextbookA textbook or coursebook is a manual of instruction in any branch of study. Textbooks are produced according to the demands of educational institutions...
s, books collecting applications of optimization, and tutorialTutorialA tutorial is one method of transferring knowledge and may be used as a part of a learning process. More interactive and specific than a book or a lecture; a tutorial seeks to teach by example and supply the information to complete a certain task....
s.
The MOS awards a number of important prizes in the field of optimization. In particular, this includes the Fulkerson Prize
Fulkerson Prize
The Fulkerson Prize for outstanding papers in the area of discrete mathematics is sponsored jointly by the Mathematical Programming Society and the American Mathematical Society . Up to three awards of $1500 each are presented at each International Symposium of the MPS...
, the Dantzig Prize and the Tucker
Albert W. Tucker
Albert William Tucker was a Canadian-born American mathematician who made important contributions in topology, game theory, and non-linear programming....
Prize.
George B. Dantzig Prize
Since 1979 in cooperation with the Society for Industrial and Applied MathematicsSociety for Industrial and Applied Mathematics
The Society for Industrial and Applied Mathematics was founded by a small group of mathematicians from academia and industry who met in Philadelphia in 1951 to start an organization whose members would meet periodically to exchange ideas about the uses of mathematics in industry. This meeting led...
SIAM the Mathematical Optimization Society awards the George B. Dantzig Prize for "original research that has had a major impact on the field of mathematical programming". This prize was first awarded in 1982 to Michael J. D. Powell
Michael J. D. Powell
Michael James David Powell FRS, FIMA is a British mathematics Professor, retired from Cambridge University, where he earned his bachelors degree and, in 1979, his D.Sc. . He is known for his extensive work in numerical analysis, especially nonlinear optimization and Approximation...
and R. Tyrrell Rockafellar
R. Tyrrell Rockafellar
* for the George Dantzig Prize in 1994 in Optima, Issue 44 page 5.- Books :* Rockafellar, R. Tyrrell. Conjugate duality and optimization. Lectures given at the Johns Hopkins University, Baltimore, Md., June, 1973. Conference Board of the Mathematical Sciences Regional Conference Series in Applied...
.
Since then it has been awarded every three years; the recipients are Ellis L. Johnson
Ellis L. Johnson
Ellis L. Johnson is the Coca-Cola Chaired Professor in the H. Milton Stewart School of Industrial and Systems Engineering at Georgia Institute of Technology in Atlanta, Georgia.-Early life and education:...
and Manfred W. Padberg (1985), Michael J. Todd (1988), Martin Grötschel and Arkadi Nemirovski
Arkadi Nemirovski
Arkadi Nemirovski is a professor in the H. Milton Stewart School of Industrial and Systems Engineering at Georgia Institute of Technology.Arkadi Nemirovski earned the Ph.D. in Mathematics from Moscow State University and the Doctor of Sciences in Mathematics from the Institute of Cybernetics of...
(1991), Claude Lemaréchal
Claude Lemaréchal
Claude Lemaréchal is a French applied mathematician.In mathematical optimization, Claude Lemaréchal is known for his work in numerical methods for nonlinear optimization, especially for problems with nondifferentiable kinks. Lemaréchal and Phil...
and Roger J-B Wets (1994), Roger Fletcher
Roger Fletcher (mathematician)
Roger Fletcher FRS FRSE is a Scottish mathematician, and professor at University of Dundee.He is a Fellow of Society for Industrial and Applied Mathematics .In 2006, he won the Lagrange Prize from SIAM....
and Stephen M. Robinson (1997), Yurii Nesterov (2000), Jong-Shi Pang and Alexander Schrijver (2003), Eva Tardos
Éva Tardos
Éva Tardos is a Hungarian mathematician, winner of the Fulkerson Prize , and professor of Computer Science at Cornell University.Research Interests:...
(2006).