Modelers have tried many different scenery methods. While each person has their own favorite techniques and preferences, there are several good, time-tested starting points for building scenery. The ...

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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 ...

Since the open-pit precedence-constrained production scheduling problem is an NP-hard problem, solving it is always a challenging task, especially from a long-term perspective because a mineral ...

Which A.I. system writes the best computer code or generates the most realistic image? Right now, there’s no easy way to answer those questions. Credit...Davide Comai Supported by By Kevin Roose ...

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 ...

Abstract: In this paper, we review previous methods for solving interval linear programming (ILP) problems. In most of these methods such as BWC, ILP, TSM, and SOM-2 methods, part of solution space is ...

1 Department of Basic Sciences and Humanities, University of Asia Pacific, Dhaka, Bangladesh. 2 General Education Department, City University, Dhaka, Bangladesh. 3 Department of Mathematics, ...