On the multiresource flexible job‐shop scheduling problem with arbitrary precedence graphs
研究了多资源柔性作业车间调度问题，其中工序顺序由任意优先关系图决定，提出了混合整数线性规划和约束规划模型，并通过实验验证了其有效性。
This paper aims at linking the work presented in Dauzère‐Pérès et al. (1998) and more recently in Kasapidis et al. (2021) on the multiresource flexible job‐shop scheduling problem with nonlinear routes or equivalently with arbitrary precedence graphs. In particular, we present a mixed integer linear programming (MIP) model and a constraint programming (CP) model to formulate the problem. We also compare the theorems introduced in Dauzère‐Pérès et al. (1998) and Kasapidis et al. (2021) and propose a new theorem extension. Computational experiments were conducted to assess the efficiency and effectiveness of all propositions. Lastly, the proposed MIP and CP models are tested on benchmark problems of the literature and comparisons are made with state‐of‐the‐art algorithms.