Production systems with interruptions, arbitrary topology and finite buffers

Citation
Sm. Gupta et A. Kavusturucu, Production systems with interruptions, arbitrary topology and finite buffers, ANN OPER R, 93, 2000, pp. 145-176
Citations number
49
Categorie Soggetti
Engineering Mathematics
Journal title
ANNALS OF OPERATIONS RESEARCH
ISSN journal
02545330 → ACNP
Volume
93
Year of publication
2000
Pages
145 - 176
Database
ISI
SICI code
0254-5330(2000)93:<145:PSWIAT>2.0.ZU;2-Q
Abstract
We consider a production system with finite buffers and arbitrary topology where service time is subject to interruptions in one of three ways, viz. m achine breakdown, machine vacations or N-policy. We develop a unified appro ximation (analytical) methodology to calculate the throughput of the system using queueing networks together with decomposition, isolation and expansi on techniques. The methodology is rigorously tested covering a large experi mental region. Orthogonal arrays are used to design the experiments in orde r to keep the number of experiments manageable. The results obtained using the approximation methodology are compared to the simulation results. The t -tests carried out to investigate the differences between the two results s how that they are statistically insignificant. Finally, we test the methodo logy by applying it to several arbitrary topology networks. The results sho w that the performance of the approximation methodology is consistent, robu st and produces excellent results in a variety of experimental conditions.