Proceedings of the 3rd Annual International Conference on Management, Economics and Social Development (ICMESD 17)

The Well-posedness and Regularity of a Batch Arrival Queue

Authors
Zhi-Ying Li, Wen-Long Wang
Corresponding Author
Zhi-Ying Li
Available Online May 2017.
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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Volume Title
Proceedings of the 3rd Annual International Conference on Management, Economics and Social Development (ICMESD 17)
Series
Advances in Economics, Business and Management Research
Publication Date
May 2017
ISBN
10.2991/icmesd-17.2017.89
ISSN
2352-5428
DOI
10.2991/icmesd-17.2017.89How to use a DOI?
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/).

Cite this article

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  -