Branch and bound is a method of finding the optimal solution of a linear programming problem by exploring a tree of possible solutions. Each node of the tree represents a subproblem, which is ...

Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear Programming: regression, classification and other engineering applications. Integer Linear Programming: Basics, ...

In the present paper a bi-objective integer linear programming problem (BILP) is discussed. The main effort in this work is to effectively implement the ϵ-constraint method to produce a complete set ...

Experience with solving a 12,753,313 variable linear program is described. This problem is the linear programming relaxation of a set partitioning problem arising from an airline crew 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 ...

In this paper, we present an auxiliary variable method that addresses these challenges by introducing auxiliary variables for the trigonometric terms. This transformation simplifies the nonlinear ...

In this article, we employ a policy iteration reinforcement learning (RL) method to study continuous-time linear–quadratic mean-field control problems in infinite horizon. The drift and diffusion ...

The specific equations are based on the details of the original problem. But while these details may differ, the basic makeup of ILP problems remains the same, giving researchers a single way to ...