QUEUES WITH BREAKDOWNS AND CUSTOMER DISCOURAGEMENT
Wenyaw Chan
Robert Bartoszyński
Dennis Pearl
Abstract: This paper considers an queue with service breakdowns and customer
discouragement. Each of the customers present in the system at the time of a breakdown may
become discouraged and leave with a constant probability, independently of other customers.
The system alternates between working and repair periods. Formulas are found for the
expected queue size at the end of a working-repair cycle. The system is shown
to have a stationary distribution if the probability of discouragement is positive.
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -