Energy Consumption optimization in Two-Machine Bernoulli Serial Lines with Limits on Machine Efficiency

Since the high energy consumption is prominent in production systems, reducing the energy consumption is of great significance. In this paper, the energy consumption optimization problem in a two-machine Bernoulli line with general lowerand upper-bounds of machine efficiencies is investigated. Specifically, the problem is formulated as a constrained nonlinear programming; taking advantage of existing results of the optimization model without additional limits on machine efficiencies, the structure of the feasible region and properties of the objective function on the feasible region are analyzed; based on the structure of the feasible region and properties of the objective function obtained, a method is developed to solve the energy consumption optimization problem in the two-machine Bernoulli line with general limits on machine efficiencies.