A Numerical Analysis of the
Abstract:
In this paper, we provide a numerical analysis of the M=D b =N \Gamma 1 queueing system. This system consists of an infinite buffer and N identical batch servers with batch capacity b. It serves as a model for various types of workstations in the manufacturing context. Using an approach presented by Crommelin, we derive the distribution of the number of lots waiting in queue at arbitrary time instants and the distribution of the waiting time of lots. The results are of an exact nature and the computation is of low complexity concerning run time and memory usage. 1
Citations
| 48 | Queueing Systems, Vol. 1: Theory – Kleinrock - 1975 |
| 28 | A First Course in Bulk Queues – Chaudhry, Templeton - 1983 |
| 14 | A Numerical Analysis of the Geo=D=N Queueing System – Vicari, Tran-Gia - 1996 |
| 8 | Performance Modelling of Batch Service Systems with Push and Pull manufacturing Management Policies – Gold - 1992 |
| 7 | A batch service system operating in a pull production line. Archiv fur Elektronik und Ubertragungstechnik – Tran-Gia, Gold, et al. - 1993 |
| 3 | Furnaces evolving to meet diverse thermal processing needs – Singer - 1997 |
| 3 | Delay Probability Formulae – Crommelin - 1933 |
| 2 | Neuts, "A general class of bulk queues with poisson input – F - 1967 |

