Linear programming (LP) is among the most fundamental optimization techniques. However, solving LP problems on conventional digital hardware is increasingly constrained by the polynomial computational ...

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Interval linear programming extends classical linear optimisation by allowing coefficients in the objective function and constraints to be specified as intervals rather than fixed values. This ...

Abstract: This paper investigates the equivalence between a class of mixed-integer linear and linear programming prob-lems. By utilizing the addition of slack variables theorem, we demonstrate that ...

Abstract: The Branch-and-Bound(B&B) algorithm is an effective method for solving the Mixed Integer Linear Programming (MILP) problem. Its performance significantly impacts the overall performance of ...

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We study a class of integer bilevel problems, the so-called Integer Linear Multiplicative Bilevel Problem, ILMBP, where the constraints are linear and both the upper level problem and the lower level ...

Integer linear programming can help find the answer to a variety of real-world problems. Now researchers have found a much faster way to do it. The traveling salesperson problem is one of the oldest ...

Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...