In this paper we examine the how to of deriving analytical solution in steady-state for non-truncated single-server queueing and service time are fixed (deterministic) with addition the concept balking, using iterative method and the probability generating function. Some measures of effecting of queuing system are obtained using a smooth and logical manner also some special cases of this system. Finality, some numerical values are given showily the effect of correlation between the (p0, pn, L, Wq) and the additional concepts.
| Published in | Applied and Computational Mathematics (Volume 7, Issue 2) |
| DOI | 10.11648/j.acm.20180702.11 |
| Page(s) | 31-39 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Deterministic, Queueing System, Measures of Effectiveness, Generating Function
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APA Style
Kotb Abdel Hamid Kotb, Moamer Akhdar. (2018). An Analytical Solution for Queue: M/D/1 with Balking. Applied and Computational Mathematics, 7(2), 31-39. https://doi.org/10.11648/j.acm.20180702.11
ACS Style
Kotb Abdel Hamid Kotb; Moamer Akhdar. An Analytical Solution for Queue: M/D/1 with Balking. Appl. Comput. Math. 2018, 7(2), 31-39. doi: 10.11648/j.acm.20180702.11
AMA Style
Kotb Abdel Hamid Kotb, Moamer Akhdar. An Analytical Solution for Queue: M/D/1 with Balking. Appl Comput Math. 2018;7(2):31-39. doi: 10.11648/j.acm.20180702.11
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Download@article{10.11648/j.acm.20180702.11,
author = {Kotb Abdel Hamid Kotb and Moamer Akhdar},
title = {An Analytical Solution for Queue: M/D/1 with Balking},
journal = {Applied and Computational Mathematics},
volume = {7},
number = {2},
pages = {31-39},
doi = {10.11648/j.acm.20180702.11},
url = {https://doi.org/10.11648/j.acm.20180702.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20180702.11},
abstract = {In this paper we examine the how to of deriving analytical solution in steady-state for non-truncated single-server queueing and service time are fixed (deterministic) with addition the concept balking, using iterative method and the probability generating function. Some measures of effecting of queuing system are obtained using a smooth and logical manner also some special cases of this system. Finality, some numerical values are given showily the effect of correlation between the (p0, pn, L, Wq) and the additional concepts.},
year = {2018}
}
TY - JOUR T1 - An Analytical Solution for Queue: M/D/1 with Balking AU - Kotb Abdel Hamid Kotb AU - Moamer Akhdar Y1 - 2018/02/27 PY - 2018 N1 - https://doi.org/10.11648/j.acm.20180702.11 DO - 10.11648/j.acm.20180702.11 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 31 EP - 39 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20180702.11 AB - In this paper we examine the how to of deriving analytical solution in steady-state for non-truncated single-server queueing and service time are fixed (deterministic) with addition the concept balking, using iterative method and the probability generating function. Some measures of effecting of queuing system are obtained using a smooth and logical manner also some special cases of this system. Finality, some numerical values are given showily the effect of correlation between the (p0, pn, L, Wq) and the additional concepts. VL - 7 IS - 2 ER -
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