منابع مشابه
DISCRETE TOMOGRAPHY AND FUZZY INTEGER PROGRAMMING
We study the problem of reconstructing binary images from four projections data in a fuzzy environment. Given the uncertainly projections,w e want to find a binary image that respects as best as possible these projections. We provide an iterative algorithm based on fuzzy integer programming and linear membership functions.
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After finishing my Ph.D. in Berkeley in 1971, I needed a job in the San Francisco Bay Area, while my wife was finishing her Ph.D. in statistics. It was a tough year jobwise and the only available position was a part-time job with the US Forest Service Station in Berkeley, which funded a position as a Research Engineer at the OR Center at UC Berkeley. My boss and friend up to today, Daniel Navon...
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A short introduction to Integer Programming (IP). Problems leading to IP models. Some modelling tricks and reformulations. Geometry of linear IP. TUM matrices. Brief notes on polyhedral analysis. Separation theory. Chvatal cut hierarchy, Gomory cuts, Disjunctive cuts, RLT cut hierarchy. Iterative methods: Branch-and-Bound, Cutting Plane, Branch-and-Cut, Branch-and-Price. Lower bounds: Lagrangia...
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The weighted sums approach for linear and convex multiple criteria optimization is well studied. The weights determine a linear function of the criteria approximating a decision makers overall utility. Any efficient solution may be found in this way. This is not the case for multiple criteria integer programming. However, in this case one may apply the more general e-constraint approach, result...
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ژورنال
عنوان ژورنال: INFORMS Transactions on Education
سال: 2013
ISSN: 1532-0545,1532-0545
DOI: 10.1287/ited.2013.0109