In this paper, we give a finite disjunctive programming procedure to obtain the convex hull of general mixed-integer linear programs (MILP) with bounded integer variables.

Dropping the "complicating" constraints in a mixed-integer linear program often yields a "special structure subproblem" that can be reformulated using a different set of decision variables. Once the ...

The feasibility pump is a well-established primal heuristic for mixed integer programming (MIP) that alternates between solving a linear programming (LP) relaxation of the original problem and ...

Mixed-Integer Nonlinear Programming Optimization Publication Trend The graph below shows the total number of publications each year in Mixed-Integer Nonlinear Programming Optimization.

"Most approaches so far either drop the nonlinearity in favor of a relatively coarse piecewise linear approximation and apply the technically well-developed tool of mixed-integer linear ...

In this example, the number of integer iterations (INT_ITER=) is zero, which means that the preprocessing has reduced the gap between the relaxed linear problem and the mixed integer program to zero.

Mixed integer programming modeling for the satellite three-dimensional component assignment and layout optimization problem [J].

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

Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...