Study on the queuing system for services being processed parallel by multi-servers
- 10.2991/icmmita-16.2016.192How to use a DOI?
- Queuing System; Parallel Service; Parallel Capacity; Running Index
In view of the fact that a server can provide parallel service for multiple customers in the practical application at the same time, the corresponding queuing models are constructed, and the system running indexes are inferred accordingly such as the steady-state probability, average queue length, average waiting length, average staying time and average waiting time. Further, the running indexes are optimized with the parallel capacity as one of the parameters, the relevant optimization models are established simultaneously. Finally, by demonstrating some properties of the optimal strategy in the queuing system, the algorithm of solving optimization model is proposed. Example study result shows that the control of the parallel capacity can effectively optimize the system running indexes, especially for the average waiting length and the average waiting time.
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Guang Wang AU - Qiaozheng Ma AU - Xiangjun Li PY - 2017/01 DA - 2017/01 TI - Study on the queuing system for services being processed parallel by multi-servers BT - Proceedings of the 2016 4th International Conference on Machinery, Materials and Information Technology Applications PB - Atlantis Press SN - 2352-538X UR - https://doi.org/10.2991/icmmita-16.2016.192 DO - 10.2991/icmmita-16.2016.192 ID - Wang2017/01 ER -