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

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

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 m...

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Bibliographic Details
Main Authors: YEO, Wee Meng, YUAN, Xue Ming, LOW, Mei Wan Joyce
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2017
Subjects:
Retrial systems
vacations
batch arrivals
breakdown
reliability.
Business
Operations and Supply Chain Management
Online Access:https://ink.library.smu.edu.sg/lkcsb_research/4538
https://ink.library.smu.edu.sg/context/lkcsb_research/article/5537/viewcontent/RetrialSystemVacationHelplinePM_2017_afv.pdf
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Institution: Singapore Management University
Language: English
Description
Summary: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.

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