ISSN2320-2882
Impact Factor9.17
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ESTD2013
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Paper Title
Construction of Six Sigma Control Charts for Waiting Time in an M/M/s Queueing Model
Authors
A. Annie Lotus , Dr. S. Mohan Prabhu
Keywords
Queueing theory; M/M/s model; Six Sigma; Statistical Process Control; Control charts; Waiting time; Process capability; Erlang-C; Service quality
Abstract
Waiting time dynamics are the key determinant of customer satisfaction of service systems. The presented research paper suggests and analyzes control charts (Six Sigma) to statistically measure the mean waiting time of the M/M/s multi-server queueing model. The suggested methodology combines the process capability ideas namely the capability index Cp with the traditional Statistical Process Control (SPC) tools to obtain tighter control limits than the traditional Shewhart 3? framework. A large comparison numerical experiment of fifteen configurations of arrival rates and three system parameterisations (differing ? and s) proves that the Six Sigma method always produces smaller control limit intervals (CLI), and hence, is more sensitive to detecting process variation. With the traffic conditions being 73 to 76 percent decrease of the CLI. Also, the influence of server capacity on the variability of waiting time is analysed systematically. The results are practical guidelines to the service system managers who want to implement real time statistical monitoring instruments based on the principles of Six Sigma.
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IJCRT — journal style
"Construction of Six Sigma Control Charts for Waiting Time in an M/M/s Queueing Model", IJCRT - International Journal of Creative Research Thoughts (www.ijcrt.org), ISSN:2320-2882, Vol.14, Issue 4, page no.k962-k974, April 2026, Available :https://ijcrt.org/papers/IJCRT26A4272.pdf
APA — 7th edition
Lotus, A. A., & Prabhu, S. M. (2026). Construction of Six Sigma Control Charts for Waiting Time in an M/M/s Queueing Model. International Journal of Creative Research Thoughts, 14(4), k962-k974. https://ijcrt.org/viewpaperforall.php?paper=IJCRT26A4272
MLA — 9th edition
Lotus, A. Annie, and S. Mohan Prabhu. "Construction of Six Sigma Control Charts for Waiting Time in an M/M/s Queueing Model." International Journal of Creative Research Thoughts, vol. 14, no. 4, 2026, pp. k962-k974, https://ijcrt.org/viewpaperforall.php?paper=IJCRT26A4272.
Chicago — 17th, bibliography
Lotus, A. Annie, and S. Mohan Prabhu. "Construction of Six Sigma Control Charts for Waiting Time in an M/M/s Queueing Model." International Journal of Creative Research Thoughts 14, no. 4 (2026): k962-k974. https://ijcrt.org/viewpaperforall.php?paper=IJCRT26A4272.
Harvard — author–date
Lotus, A.A. and Prabhu, S.M. (2026) 'Construction of Six Sigma Control Charts for Waiting Time in an M/M/s Queueing Model', International Journal of Creative Research Thoughts, 14(4), pp. k962-k974. Available at: https://ijcrt.org/viewpaperforall.php?paper=IJCRT26A4272
IEEE — numbered reference
A. A. Lotus and S. M. Prabhu, "Construction of Six Sigma Control Charts for Waiting Time in an M/M/s Queueing Model," IJCRT, vol. 14, no. 4, pp. k962-k974, Apr. 2026.
Vancouver — biomedical
Lotus AA, Prabhu SM. Construction of Six Sigma Control Charts for Waiting Time in an M/M/s Queueing Model. IJCRT. 2026 Apr;14(4):k962-k974.
AMA — 11th edition
Lotus AA, Prabhu SM. Construction of Six Sigma Control Charts for Waiting Time in an M/M/s Queueing Model. IJCRT. 2026;14(4):k962-k974. Accessed at https://ijcrt.org/viewpaperforall.php?paper=IJCRT26A4272
BibTeX — Zotero, Mendeley, LaTeX
@article{IJCRT26A4272,
author = {A. Annie Lotus and S. Mohan Prabhu},
title = {Construction of Six Sigma Control Charts for Waiting Time in an M/M/s Queueing Model},
journal = {International Journal of Creative Research Thoughts},
volume = {14},
number = {4},
pages = {k962-k974},
year = {2026},
month = {April},
issn = {2320-2882},
url = {https://ijcrt.org/viewpaperforall.php?paper=IJCRT26A4272}
}
RIS — EndNote, RefWorks
TY - JOUR
AU - Lotus, A. Annie
AU - Prabhu, S. Mohan
TI - Construction of Six Sigma Control Charts for Waiting Time in an M/M/s Queueing Model
T2 - International Journal of Creative Research Thoughts
JA - IJCRT
VL - 14
IS - 4
PY - 2026
SN - 2320-2882
UR - https://ijcrt.org/viewpaperforall.php?paper=IJCRT26A4272
SP - k962-k974
ER -
Issue
Volume 14 Issue 4,
April-2026
Pages : k962-k974
Article Information
- Pages
- k962-k974
- Published
- April 2026
- Registration ID
- IJCRT_307065
- Published Paper ID
- IJCRT26A4272
- Research Area
- Mathematics All
- Author Type
- Indian Author
- Location
- Salem, TamilNadu, India
- Peer Review
- Request Peer Review Report
- Licence
- CC BY 4.0 · Open Access
- ISSN & Impact Factor
- 2320-2882 · IF 9.17
- Downloads
- 124
- Permanent Link
- https://ijcrt.org/viewpaperforall.php?paper=IJCRT26A4272
- Published Paper PDF
- https://ijcrt.org/papers/IJCRT26A4272.pdf
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