Publications

Refereed Journal Papers

[1] K. Abe and T. Phung-Duc, “Diffusion limit of a modified Erlang-B system with sensing time of secondary users,” Annals of Operations Research 331, pp. 985–1006, 2023. [LINK]

[2] K. Abe and T. Phung-Duc, “Mean-field analysis of large-scale bipartite queueing models for threshold-based and stochastic offloading multi-access edge computing,” Methodology and Computing in Applied Probability 28, 57, 2026. [LINK]

Refereed Papers in Editted Volumes

[1] K. Abe and T. Phung-Duc, “Asymptotic analysis of modified Erlang-B system with sensing time and stochastic loss of secondary users,” Proceedings of Valuetools 2022, pp. 67–80, 2023. [LINK]

[2] K. Abe, T. Phung-Duc and M. Onishi, “A simulation study of the sojourn time in queueing systems with stochastically delayed information,” Proceedings of Valuetools 2025, to appear, 2026. [LINK]

Presentations in International Conferences

[1] K. Abe and T. Phung-Duc, “A diffusion limit of cognitive wireless networks with sensing time of secondary users,” 13th International Workshop on Retrial Queues and Related Topics (WRQ 2021), India, Dec. 2021 (Online).

[2] K. Abe and T. Phung-Duc, “Mean-field analysis of a large-scale bipartite queueing model for threshold-based mobile edge computing,” German Probability and Statistics Days 2025, Dresden, Germany, 11-14 Mar. 2025.

[3] K. Abe and T. Phung-Duc, “Queueing models for load balancing with phase-type distributions of decision-to-action delays,” European Conference on Queueing Theory (ECQT) 2026, Reykjavik, Iceland, 11-13 May 2026. [LINK]

Presentations in Domestic Conferences

[1] K. Abe and T. Phung-Duc, “A diffusion limit of cognitive wireless networks with sensing time of secondary users,” Proceedings of the Queueing Symposium: Stochastic Models and their Applications 2021, pp. 71–80, Jan. 2022 (Online).

[2] K. Abe and T. Phung-Duc, “Asymptotic analsysis of a Erlang-B system with interuptions,” Abstracts of The 2022 Fall National Conference of Operations Research Society of Japan, pp. 76–77, Niigata, Japan, Sep. 2022.

[3] K. Abe and T. Phung-Duc, “Mean-field analysis of a large-scale bipartite queueing model for threshold-based mobile edge computing,” Proceedings of the Queueing Symposium: Stochastic Models and their Applications 2024, pp. 96–104, Kanagawa, Japan, Dec. 2024. (Kanagawa Institute of Technology IT Extension Center)

[4] K. Abe and T. Phung-Duc, “Studies of a random bipartite queueing model for edge computing,” Abstracts of The 2025 Fall National Conference of Operations Research Society of Japan, pp. 40–41, Hiroshima, Japan, Sep. 2025.

[5] K. Abe and T. Phung-Duc, “Quantifying tail behavior in load balancing systems with dispatching delays,” Applied Probability Symposium Research on Probabilistic Models as the Foundation of Society 5.0, Fukuoka, Japan, Jan. 2026.

[6] K. Abe and T. Phung-Duc, “Load balancing in Large-scale parallel queuing systems with phase-type distributions of action delays,” NOLTA society Conference, The Institute of Electronics, Information and Communication Engineers (IEICE), Osaka, Japan, Jun. 2026 (Poster).

Submitted Papers

[1] K. Abe, and T. Phung-Duc, “Quantifying the impact of the action delay variability on load balancing: A phase-type approach,” under review (23 pages), 2026.

[2] K. Abe, and T. Phung-Duc, “Load balancing in parallel infinite-server queues with action delay via phase representation,” under review (15 pages), 2026.