The Well-posedness and Regularity of a Batch Arrival Queue

DOI

10.2991/icmesd-17.2017.89How to use a DOI?

Keywords

Well-posedness, Regularity, Batch arrival queue, C0-semigroup, Dissipative operator.

Abstract

In this paper, the solution of a batch arrival queue with an additional service channel under N policy is investigat-ed. By using the method of functional analysis, especially, the linear operator theory and the C0 semigroup theory on Banach space, we prove the well-posedness of the system, and show the existence of positive solution.

Copyright

© 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/).

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TY  - CONF
AU  - Zhi-Ying Li
AU  - Wen-Long Wang
PY  - 2017/05
DA  - 2017/05
TI  - The Well-posedness and Regularity of a Batch Arrival Queue
BT  - Proceedings of the 3rd Annual International Conference on Management, Economics and Social Development (ICMESD 17)
PB  - Atlantis Press
SP  - 488
EP  - 494
SN  - 2352-5428
UR  - https://doi.org/10.2991/icmesd-17.2017.89
DO  - 10.2991/icmesd-17.2017.89
ID  - Li2017/05
ER  -