The simplex method is a fast and efficient algorithm for solving linear programming. Inspired by the optimization method and the simplex method in Seminar 1, this project considers programming the ...

This repository demonstrates how to solve Linear Programming (LP) and Non-Linear Programming (NLP) problems using the Sequential Thinking Model Context Protocol (MCP). The approach breaks down complex ...

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 ...

Operations Research, Vol. 21, No. 1, Mathematical Programming and Its Applications (Jan. - Feb., 1973), pp. 156-161 (6 pages) This paper gives rules that enable the transformation of a 0-1 polynomial ...

Management Science, Vol. 14, No. 1, Theory Series (Sep., 1967), pp. 34-57 (24 pages) This paper considers the chance-constrained programming problem where the decision variables can be either bounded ...

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: Integer Linear Programming (ILP) is an important mathematical approach for solving time-sensitive real-life optimization problems, including network routing, map routing, traffic scheduling, ...

Marshall, Paul W. "Linear Programming: A Technique for Analyzing Resource Allocation Problems." Harvard Business School Background Note 171-322, January 1971. (Revised November 1975.) ...