A two-phase queueing system with server vacations. (English) Zbl 0813.90046
Summary: We consider a two-phase queueing system with server vacations. Customers receive a batch service in the first phase and individual services in the second phase. The server takes vacations as soon as the system becomes empty. The model is analyzed using the Laplace-Stieltjes transform. This extends the model studied by B. Doshi [Oper. Res. Lett. 10, No. 5, 265-272 (1991; Zbl 0738.60091)].
MSC:
| 90B22 | Queues and service in operations research |
Citations:
Zbl 0738.60091References:
| [1] | Cooper, R. B., Queues served in cyclic order: waiting times, Bell Systems Technical J., 49, 399-413 (1970) · Zbl 0208.22502 |
| [2] | Doshi, B. T., Queueing systems with vacations — A survey, Queueing Systems, 1, 29-66 (1986) · Zbl 0655.60089 |
| [3] | Doshi, B. T., Analysis of a two phase queueing system with general service times, Oper. Res. Lett., 10, 262-265 (1991) · Zbl 0738.60091 |
| [4] | Kleinrock, L., (Queueing System, Vol. I: Theory (1975), Wiley Inter Science: Wiley Inter Science New York) · Zbl 0334.60045 |
| [5] | Krishna, C. M.; Lee, Y. H., A study of two phase service, Oper. Res. Lett., 9, 91-97 (1990) · Zbl 0687.68014 |
| [6] | Levy, Y.; Yechiali, U., Utilization of idle time in an M/G/1 Queueing System, Management Sci., 22, 202-211 (1975) · Zbl 0313.60067 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
