1. An article processing apparatus having a movable member for processing an article, the apparatus comprising: an information processor configured to generate a transition order of states of the movable member, wherein the information processor is configured to: respectively set a plurality of clusters each including, as a plurality of nodes, a plurality of states that the movable member may take, with respect to a plurality of regions of the article; respectively set a plurality of costs with respect to a plurality of combinations of two nodes respectively belonging to two clusters different from each other of the plurality of clusters; and generate the transition order by obtaining, based on the plurality of clusters and the plurality of costs, as a solution of a traveling salesman problem, an order of traveling a plurality of nodes obtained by selecting one node from each of the plurality of clusters.