Energy Consumption Optimization in Two-Machine Bernoulli Serial Lines

Machines consume intensive energy in some production systems. Although substantial efforts have been devoted to performance analysis, continuous improvement, and design of production systems, the research on reduction of energy consumption in these systems is limited. In this paper, we formulate a nonlinear programming problem with production rate constraint to minimize machines' energy consumption. Structural characteristics of the problem and optimality conditions are analyzed to establish two optimality equations. An effective algorithm based on binary search method is developed to solve the optimal solution from the optimality equations.