Following the analytical development of the method, three example problems are solved in detail with the Multiphase-Dual Algorithm to illustrate various aspects of its application. An extension of the ...

Management Science, Vol. 21, No. 4, Application Series (Dec., 1974), pp. 474-482 (9 pages) This paper presents the application of a modified mixed-integer programming algorithm to plan menus in which ...

Description: An advanced course on theory and algorithms for integer and mixed integer optimization problems. Convergence of integer programming algorithms, dual relaxations, Benders decomposition, ...

Formulate linear and integer programming problems for solving commonly encountered optimization problems. Understand how approximation algorithms compute solutions that are guaranteed to be within ...

They will learn the foundations of integer and combinatorial optimization, and apply polyhedral theory to design effective algorithms to solve large-scale integer programs in practice.

Research areas: Healthcare optimization under uncertainty, Large-scale optimization, stochastic programming, decomposition-based integer programming algorithms ...

Create divide and conquer, dynamic programming, and greedy algorithms. Understand intractable problems, P vs NP and the use of integer programming solvers to tackle some of these problems.