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

• 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
• Institution: Singapore Management University

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.