This paper works on a descent algorithm for continuous piecewise linear (CPWL) minimization problems. CPWL minimization is a widely applied nonlinear programming, which can be equivalently transformed ...

Getting Started: Linear Programming Models: Interior Point algorithm To solve linear programming problem using PROC NETFLOW, you save a representation of the variables and the constraints in one or ...

We give a branch-and-cut algorithm for solving linear programs (LPs) with continuous separable piecewise-linear cost functions (PLFs). Models for PLFs use continuous variables in special-ordered sets ...

This work introduces the Gonzaga’s problem as potential test case for evaluating infeasibleinterior-point algorithms in linear programming. The Gonzaga’s problem is a simple linear programming ...

This paper describes several approximate polynomial-time algorithms that use linear programming to design filters having a small number of nonzero coefficients, i.e., filters that are sparse.

Mauricio G. C. Resende, K. G. Ramakrishnan, Zvi Drezner, Computing Lower Bounds for the Quadratic Assignment Problem with an Interior Point Algorithm for Linear Programming, Operations Research, Vol.

MG4C6.2 Mathematical Programming: Introduction to theory and the solution of linear and nonlinear programming problems: basic solutions and the simplex method, convex programming and KKT conditions, ...