and heuristic approach which takes advantage of Integer Linear Programming (ILP) techniques and heuristic search to improve the quality of the solutions. Extensive computational tests on the standard benchmark instances and on a new set of large sized...

Abstract A shape optimization problem concerned with thermal deformation of elastic bodies is considered. In this article, measure theory approach in function space is derived, resulting in an effective algorithm for the ...

We develop an integer linear programming technique for solving two variants of the standard vehicle routing problem. Given an initial feasible solution to be possibly improved, the method follows a destruct-and-repair paradigm, where the given...

In this article, the classification and mapping of geodiversity based on a quantitative methodology was accom-plished using linear programming, the central idea of which being that geosites and geomorphosites as main in-dicators of geodiversity can...

to the

corresponding linear problems. Moreover, discretization method is applied to convert the new problem

to a discrete-time problem which we solve it by linear programming methods. Finally, some

numerical examples are given to show...

this linear programming problems piecewiseconstant

functions is obtained and finally the approximate trajectories of the original one is obtained...

In this paper, we propose a new approach for a class of optimal control problems governed by Volterra inte-gral equations which is based on linear combination property of intervals. We convert the nonlinear terms in ...