In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...

A holy grail of theoretical computer science, with numerous fundamental implications to more applied areas of computing such as operations research and artificial intelligence, is the question of ...

Abstract: This paper presents a neural circuit for solving linear programming problem (LPP). The objective is to minimize a first order cost function subject to linear constraints. The dynamic analog ...

This paper investigates a quadratic programming problem subject to fuzzy relation inequalities with the addition-min composition operator. Three different approaches for solving the problem are ...

And then, you should make inequality sign to be a equal sign, which means you need to add slack variables to every rows. $$\begin{cases} \min \quad z = -6x_1+3x_2-3x_3 \\\ s.t. \quad 2x_1 + x_2 &\leq& ...

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, ...

Abstract: Bilevel programming can be used to formulate many problems in the field of power systems, such as strategic bidding. However, common reformulations of bilevel problems to mixed-integer ...

In this paper, a cubic objective programming problem (COPP) is defined. Introduced a new modification to solve a cubic objective programming problem. Suggested an algorithm for its solution. Also ...