PROC NETFLOW uses the Primal Simplex Network algorithm and the Primal Partitioning Algorithm to solve constrained network problems. These algorithms are fast, since they take advantage of algebraic ...

Abstract: This paper solves the problem of power system reactive power optimization with discrete variables based on interior point filter algorithm and complementarity theory which aims to deal with ...

Abstract: We study a feasible interior-point method for solving a class of nonnegative least squares problems. Firstly, nonnegative least squares problem was transformed into linear complementarily ...

Interior-point methods constitute a robust class of algorithms for solving constrained optimisation problems by exploring the interior of the feasible region instead of traversing its boundary. These ...

An example of the quadratic assignment problem (QAP) is the facility location problem, in which n facilities are assigned, at minimum cost, to n sites. Between each pair of facilities, there is a ...

Mathematics of Computation, Vol. 69, No. 229 (Jan., 2000), pp. 283-304 (22 pages) Recently, based upon the Chen-Harker-Kanzow-Smale smoothing function and the trajectory and the neighbourhood ...

Data for a linear programming problem resembles the data for side constraints and nonarc variables supplied to PROC NETFLOW when solving a constrained network problem. It is also very similar to the ...

Note that the optimal solution to Gonzaga’s problem denoted by (G) is [a, 0] T with an optimal value of the objective function equal to a, a ≥ 10. From the infeasible starting point e = [1, 1] T, the ...