Use the graphical method to move from vertex to vertex in the feasible region and identify the optimal solution. Implement the Simplex Method, showing the sequence of tableaus and the basic solutions.

Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...

In this paper, we propose a reference direction approach and an interactive algorithm to solve the general multiple objective integer linear programming problem. At each iteration, only one mixed ...

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 ...

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

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, ...

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 ...