LOT SCHEDULING IN A 2-MACHINE CELL WITH SWAPPING DEVICES

Citation
A. Agnetis et al., LOT SCHEDULING IN A 2-MACHINE CELL WITH SWAPPING DEVICES, IIE transactions, 28(11), 1996, pp. 911-917
Citations number
12
Categorie Soggetti
Operatione Research & Management Science","Engineering, Industrial
Journal title
ISSN journal
0740817X
Volume
28
Issue
11
Year of publication
1996
Pages
911 - 917
Database
ISI
SICI code
0740-817X(1996)28:11<911:LSIA2C>2.0.ZU;2-K
Abstract
This paper deals with the problem of part input sequencing in an autom ated flow shop system. The system consists of one input/output station , two machines and one AGV, which is used for all part transfer operat ions throughout the cell. The objective is the minimization of the mak espan. This cell architecture has recently received considerable atten tion in the literature. Here we consider the case in which the two mac hines are equipped by a swapping device, allowing the AGV to exchange a new part for the one released by the machine. A similar device exist s for the input/output station. If the transportation times are small enough, the problem can be formulated as a two-machine flow shop with limited intermediate buffer, which is NP-hard. Here we analyze the pro blem in the context of lot processing, i.e., when identical parts must be processed consecutively. Each set of identical parts forms a lot. The number of parts in the lot is the size of the lot. If the size of the ith lot is larger than a value b(i), the problem can be formulate d as a special case of TSP and solved in polynomial time. The cost str ucture of this TSP generalizes that defined for the two-machine no-wai t flow shop. Finally, we give a closed form expression for b(i).