78
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Modeling and optimization analysis of a retrial system with partial servers synchronous vacation and customer geometric loss

, , &
Received 09 Jun 2022, Accepted 29 Jun 2023, Published online: 20 Jul 2023

References

  • Arivudainambi, D., P. Godhandaraman, and P. Rajadurai. 2014. Performance analysis of a single server retrial queue with working vacation. OPSEARCH 51 (3):434–62. doi:10.1007/s12597-013-0154-1.
  • Artalejo, J. R. 1999. A classified bibliography of research on retrial queues: Progress in 1990-1999. Top 7 (2):187–211. doi:10.1007/BF02564721.
  • Artalejo, J. R. 2010. Accessible bibliography on retrial queues: Progress in 2000-2009. Mathematical and Computer Modelling 51 (9-10):1071–81. doi:10.1016/j.mcm.2009.12.011.
  • Bouchentouf, A. A., M. Cherfaoui, and M. Boualem. 2021. Analysis and performance evaluation of Markovian feedback multi-server queueing model with vacation and impatience. American Journal of Mathematical and Management Sciences 40 (3):261–82. doi:10.1080/01966324.2020.1842271.
  • Hajipour, V., R. Z. Farahani, and P. Fattahi. 2016. Bi-objective vibration damping optimization for congested location-pricing problem. Computers & Operations Research 70:87–100. doi:10.1016/j.cor.2016.01.001.
  • Idjis, K., M. Ourbih-Tari, and L. Baghdali-Ourbih. 2017. Variance reduction in M/M/1 retrial queues using refined descriptive sampling. Communications in Statistics - Simulation and Computation 46 (6):5002–20. doi:10.1080/03610918.2016.1140778.
  • Ke, J. C., F. M. Chang, and T. H. Liu. 2019. M/M/c balking retrial queue with vacation. Quality Technology & Quantitative Management 16 (1):54–66. doi:10.1080/16843703.2017.1365280.
  • Ke, J. C., C. H. Wu, and Z. G. Zhang. 2010. Recent developments in vacation queueing models: A short survey. International Journal of Operations Research 7 (4):3–8.
  • Khodemani-Yazdi, M., R. Tavakkoli-Moghaddam, M. Bashiri, and Y. Rahimi. 2019. Solving a new bi-objective hierarchical hub location problem with an M/M/c queueing framework. Engineering Applications of Artificial Intelligence 78:53–70. doi:10.1016/j.engappai.2018.10.004.
  • Kim, J., and B. Kim. 2016. A survey of retrial queueing systems. Annals of Operations Research 247 (1):3–36. doi:10.1007/s10479-015-2038-7.
  • Krishna Kumar, B., and J. Raja. 2006. On multiserver feedback retrial queues with balking and control retrial rate. Annals of Operations Research 141 (1):211–32. doi:10.1007/s10479-006-5300-1.
  • Lakaour, L., D. Aissani, K. Adel-Aissanou, K. Barkaoui, and S. Ziani. 2022. An unreliable single server retrial queue with collisions and transmission errors. Communications in Statistics - Theory and Methods 51 (4):1085–109. doi:10.1080/03610926.2020.1758943.
  • Li, T., L. Zhang, and S. Gao. 2019. An M/G/1 retrial queue with balking customers and Bernoulli working vacation interruption. Quality Technology & Quantitative Management 16 (5):511–30. doi:10.1080/16843703.2018.1480264.
  • Liou, C. D. 2015. Markovian queue optimisation analysis with an unreliable server subject to working breakdowns and impatient customers. International Journal of Systems Science 46 (12):2165–82. doi:10.1080/00207721.2013.859326.
  • Majid, S., and P. Manoharan. 2017. Analysis of a M/M/c queue with single and multiple synchronous working vacations. Applications and Applied Mathematics: An International Journal 12 (2):671–94.
  • Neuts, M. 1981. Matrix-geometric solutions in stochastic models. Baltimore: John Hopkins University Press.
  • Tavakkoli-Moghaddam, R., S. Vazifeh-Noshafagh, A. A. Taleizadeh, V. Hajipour, and A. Mahmoudi. 2017. Pricing and location decisions in multi-objective facility location problem with M/M/m/k queuing systems. Engineering Optimization 49 (1):136–60. doi:10.1080/0305215X.2016.1163630.
  • Tian, N., and Z. G. Zhang. 2006. Vacation queueing models: Theory and Applications. Boston, MA: Springer.
  • Vahdani, B., and M. Mohammadi. 2015. A bi-objective interval-stochastic robust optimization model for designing closed loop supply chain network with multi-priority queuing system. International Journal of Production Economics 170A:67–87. doi:10.1016/j.ijpe.2015.08.020.
  • Vijaya Laxmi, P., and T. W. Kassahun. 2020. Analysis of variant working vacation queue with reneging under a multi-server environment. International Journal of Management Science and Engineering Management 15 (2):130–7. doi:10.1080/17509653.2019.1653237.
  • Wang, J., and J. Wang. 2018. Unreliable M/M/1/1 retrial queues with set-up time. Quality Technology & Quantitative Management 15 (5):589–601. doi:10.1080/16843703.2017.1320459.
  • Wang, J., Y. Zhang, and Z. G. Zhang. 2021. Strategic joining in an M/M/K queue with asynchronous and synchronous multiple vacations. Journal of the Operational Research Society 72 (1):161–79. doi:10.1080/01605682.2019.1644978.
  • Wang, Z., L. Liu, Y. Q. Zhao, L. Li, and W. Xu. 2021. Joining strategies of noncooperative and cooperative in a single server retrial queue with N-policy and multiple server vacations. Communications in Statistics – Theory and Methods 52 (4):1076–100. doi:10.1080/03610926.2021.1923747.
  • Wu, C. H., and D. Y. Yang. 2021. Bi-objective optimization of a queueing model with two-phase heterogeneous service. Computers & Operations Research 130:105230. doi:10.1016/j.cor.2021.105230.
  • Yang, D. Y., and C. H. Wu. 2019. Performance analysis and optimization of a retrial queue with working vacations and starting failures. Mathematical and Computer Modelling of Dynamical Systems 25 (5):463–81. doi:10.1080/13873954.2019.1660378.
  • Zhang, Y. 2020. Strategic behavior in the constant retrial queue with a single vacation. RAIRO - Operations Research 54 (2):569–83. doi:10.1051/ro/2019016.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.