TY - JOUR
T1 - Queueing models for a flexible machining station Part I
T2 - The diffusion approximation
AU - Yao, David D.W.
AU - Buzacott, J. A.
PY - 1985/2
Y1 - 1985/2
N2 - A work station in a flexible manufacturing system (fms) typically has a set of parallel machines with a general machining-time distribution and a limited local storage. The station is modeled as a G/G/c/N queue. A diffusion process with two boundaries associated with elementary return processes is formulated to approximate the queueing process. Approximate solutions to major performance measures are derived. The model is most suitable for queues where both the interarrival and the service times have a small (not greater than one) squared coefficient of variation. © 1985.
AB - A work station in a flexible manufacturing system (fms) typically has a set of parallel machines with a general machining-time distribution and a limited local storage. The station is modeled as a G/G/c/N queue. A diffusion process with two boundaries associated with elementary return processes is formulated to approximate the queueing process. Approximate solutions to major performance measures are derived. The model is most suitable for queues where both the interarrival and the service times have a small (not greater than one) squared coefficient of variation. © 1985.
KW - diffusion approximation
KW - Flexible manufacturing systems
KW - queueing models
UR - http://www.scopus.com/inward/record.url?scp=0022013776&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0022013776&origin=recordpage
U2 - 10.1016/0377-2217(85)90177-8
DO - 10.1016/0377-2217(85)90177-8
M3 - RGC 21 - Publication in refereed journal
SN - 0377-2217
VL - 19
SP - 233
EP - 240
JO - European Journal of Operational Research
JF - European Journal of Operational Research
IS - 2
ER -