On Mx / G(M/H)/1 Retrial System with Vacation: Service Helpline Performance Measurement

Author

Wee Meng YEO, Singapore Institute of Manufacturing Technology
Xue Ming YUAN, Singapore Institute of Manufacturing Technology
Mei Wan Joyce LOW, Singapore Management UniversityFollow

Publication Type

Journal Article

Version

acceptedVersion

Publication Date

1-2017

Abstract

This paper analyzes an unreliable Mx/ G(M/ H) / 1 retrial system which models a class of practices in m-commerce industry where services are rendered in-situ. We present the closed-form expressions for the important performance indicators of the system, and derive the optimal vacation policies for minimizing the average waiting time of orbiting customers. Under the long run average cost, it turns out that the optimal vacation policy for the server is either single or multiple vacation policy. Numerical experiments are conducted to examine the effect of vacation policy on the queue length and busy period of the system.

Keywords

Retrial systems, vacations, batch arrivals, breakdown, reliability.

Discipline

Business | Operations and Supply Chain Management

Research Areas

Operations Management

Publication

Annals of Operations Research

Volume

248

Issue

1

First Page

553

Last Page

578

ISSN

0254-5330

Identifier

10.1007/s10479-016-2207-3

Publisher

Springer Verlag (Germany)

Embargo Period

5-1-2017

Citation

YEO, Wee Meng; YUAN, Xue Ming; and LOW, Mei Wan Joyce. On Mx / G(M/H)/1 Retrial System with Vacation: Service Helpline Performance Measurement. (2017). Annals of Operations Research. 248, (1), 553-578.
Available at: https://ink.library.smu.edu.sg/lkcsb_research/4538

Copyright Owner and License

Authors

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Additional URL

https://doi.org/10.1007/s10479-016-2207-3