The paper presents a technique for solving the binary linear programming model in polynomial time. The general binary linear programming problem is transformed into a convex quadratic programming ...

Employee or labor scheduling is associated with assigning an appropriate number of workers to the jobs during each day of work. It requires determining when staff members will work and when part-time, ...

IBM ILOG CPLEX Optimizer is a tool for solving linear optimization problems, commonly referred to as Linear Programming (LP) problems. The CPLEX Python API is a Python package named cplex that allows ...

There are diverse notions of optimality we may wish to consider in a given context, and which may have significant impact on the effectiveness or suitability of optimization, including. Q1 How do the ...

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 ...

The “Diet Problem” (the search of a low-cost diet that would meet the nutritional needs of a US Army soldier) is characterized by a long history, whereas most solutions for comparable diet problems ...

In the SLP technique, the solution of the original nonlinear programming problem is obtained by solving a series of linear programming problems. Each linear programming problem is generated by ...