| Article ID: | iaor20051962 |
| Country: | United States |
| Volume: | 16 |
| Issue: | 4 |
| Start Page Number: | 327 |
| End Page Number: | 348 |
| Publication Date: | Dec 2003 |
| Journal: | Journal of Applied Mathematics and Stochastic Analysis |
| Authors: | Dudin Alexander N., Chakravarthy Srinivas R. |
| Keywords: | queues: applications, programming: markov decision |
We consider a finite capacity queue in which arrivals occur according to a batch Markovian arrival process. The customers are served in groups of varying sizes. The services are governed by a controlled semi-Markovian process according to a multithreshold strategy. We perform the steady-state analysis of this model by computing (a) the queue length distributions at departure and arbitrary epochs, (b) the Laplace–Stieltjes transform of the sojourn time distribution of an admitted customer, and (c) some elected system performance measures. An optimization problem of interest is presented and some numerical examples are illustrated.