The paper presents a technique for solving the binary linear programming model in polynomial time. The general binary linear programming problem is transformed into a convex quadratic programming ...

Linear programming (LP) is a powerful technique for optimizing a linear objective function subject to a set of linear constraints. LP can be used to solve many real-world problems, such as ...

A linear programming (LP) model has been developed to optimize the amount of power system peak load reduction through scheduling of control periods in commercial/industrial and residential load ...

This paper aims to study a new form of facility layout problem, in which the building has already been constructed and the specific room layout inside has been determined. Unlike the traditional ...

This procedure is well established in linear programming as part of general preprocessing steps, but it is not usual in nonlinear problems (as the SDP model). The facial reduction procedure to obtain ...

The binary linear programming (BLP) model is NP-complete and up to now we have not been aware of any polynomial algorithm for this model. See for example Fortnow [1] [2] for more on complexity. In ...