Reducing energy consumption in the energy-intensive production systems is of great significance and attracts more and more attention. Although a lot of efforts have been devoted to formulate and solve the energy consumption optimisation problem in the Bernoulli serial lines, existing methods for solving the problem in long Bernoulli lines either cannot obtain the optimal solution or are time-consuming. For this purpose, this paper divides the problem in the long line into a set of problems in two-machine lines and proposes a computationally efficient and globally convergent algorithm to solve it. Extensive numerical experiments show that the proposed algorithm not only can optimally (in the numerical way) solve the energy consumption optimisation problem in long Bernoulli serial lines, but also is orders of magnitude more efficient than existing algorithms.

降低能源密集型生产系统的能源消耗意义重大，越来越受到关注。尽管在伯努利串联线路的能耗优化问题的制定和求解方面付出了很多努力，但现有的解决长伯努利线路能耗优化问题的方法要么不能得到最优解，要么费时费力。为此，本文将长线中的问题划分为双机线中的一组问题，并提出了一种计算效率高且全局收敛的算法来解决该问题。大量的数值实验表明，所提出的算法不仅可以最优地（以数值方式）解决长伯努利串行线路的能耗优化问题，