QUEUEING MODELS WITH REMOVABLE SERVERS: A SINGLE ARRIVAL ANALYSIS

Authors

  • Naveen Bhatia Associate Professor, Department of Mathematics, Baba Mast Nath University, Rohtak, Haryana, India

DOI:

https://doi.org/10.37547/ijasr-03-10-01

Keywords:

Queueing models, Removable servers, Single arrival

Abstract

This study delves into the analysis of queueing models featuring removable servers and a single arrival stream. Queueing theory plays a crucial role in understanding and optimizing various service systems, and the presence of removable servers adds an intriguing dimension to these models. Through mathematical modeling and simulation, this research investigates the performance metrics, including queue length, wait times, and server utilization, in scenarios where servers can be temporarily removed from service. The study contributes valuable insights into the dynamics of such queueing systems, offering practical implications for service optimization and resource management.

Downloads

Download data is not yet available.

References

Baburaj C, Surendranath TM. “On the waiting time distribution of an M/M/1 Bulk service queue under the policy (a, c, d), International Journal of Agricultural & statistical sciences, 2006; 2:101-106.

Chaudhary ML, Lec AM. Single channel constant capacity bulk service queueing process with an intermittently available server INFOR, 1972; 10:284-291.

Michel Schall, Leonard Kleinrok. M/G/1 Queue with rest periods and Certain Service Independent Queueing Discipline” Oper. Res. 1992; 31(4):705-719.

Madan KC. A single Channel Queue with Bulk Service subject to Interruptions” Microelectronics and Reliability. 1989;29(5):813-818.

Sharda, Garg PC. Time dependent solution of queuing Problem with intermittently available server microelectron relief, 1985; 26(1):039-1041.

Shanthikumar JG. On stochastic Decomposition in the Queues with Generalized vacation” Operations research, 1988; 36:566-569.

leavy Y, Yachiali U. Utilization of Idle time in an M/G/1 Queueing system, Managm Sci. 22

Downloads

Published

2023-10-01

How to Cite

QUEUEING MODELS WITH REMOVABLE SERVERS: A SINGLE ARRIVAL ANALYSIS. (2023). International Journal of Advance Scientific Research, 3(10), 01-04. https://doi.org/10.37547/ijasr-03-10-01

Similar Articles

1-10 of 31

You may also start an advanced similarity search for this article.