ON M/G/1 QUEUES WITH THE FIRST N CUSTOMERS OF EACH BUSY PERIOD RECEIVING EXCEPTIONAL SERVICES

Yutaka Baba
1999 Journal of the Operations Research Society of Japan  
Absttxict This paper studies generalized MIGII queues in which the first N customers ef each busy period receive exceptional services. Applying the sllpplementary variable approach, we derive the recursion formulas to obtain t,he generating function of the stationary queue length distribution given that n customers have been served sinee the beginning of current busy period. Furthermore, we present a computatienally tractable scheme which recursively determines the moments ofthe queue length
more » ... the queue length distribution and the sojourn time distribut,ion. Special cases are treated in detai1. Numerical examples are also provided,
doi:10.15807/jorsj.42.490 fatcat:nevtdywdwnekhfd5eybgo64liu