ABSTRACT

Figure 6 .1 : Illustration for Example 1. (a) A flexible assembly cell and (b) a diagram of the material flow.

Example 1 Figure 6.1(a) presents the structure of an example assembly cell that consists of four workstations, mi, m2 , m3 , m4 , with buffers b\, Ò2, b?>, ^4 , respec­ tively, two individual buffers 6 5 and b6 accessible for the manipulators of both m3 and m4 , and two handling robots r\ and Г2 . The robots transport materials from/to the system input/output and between buffers. Pallets with base components are han­ dled by robot r\ and placed in buffers 6 2 > £3 , or Ы, while trays with subassem­ blies and unpalletized components are handled by robot Г2 and placed in buffers bu t>5 or be-The flow of material objects in the cell is depicted in Figure 6.1(b). The graph consists of two disjoint subgraphs corresponding to two compound pro­ cesses K\ and K2 . The vertices represent technological and transport operations, and

the edges represent material units at a particular stage of their route. The symbols placed next to a vertex and its input and output arcs denote the resources required for the corresponding operation which are: the machine, and the buffers to store the material units (pallets, trays, and unpalletized components) before and after the operation. Operations 1-11 and 23-29 involve base components of П\ and π2 , respec­ tively. 1,3,5,7,9,11,23,25,27,29,31 are transports of base components, operations 12,14,15 correspond to the transport of trays with subassemblies, and operations 18,20,22 correspond to the transport of unpalletized components. Vertex 13 repre­ sents mounting of a subassembly ; vertices 6 , 1 0 represent mounting of subassemblies carried on pallets onto base components; and operations 24,28 represent mounting of unpalletized components onto base components. Operation 21 is performed ex­ clusively on unpalletized components. In transport operation 18 two components are handled at a time, one of which is mounted onto a base component in workstation m3 , while the other is further transported to mi.