Introduction: queueing systems special issue on queueing systems with abandonments

Scheduling of multi-class multi-server queueing systems with abandonments

Many real-world situations involve queueing systems in which customers may abandon if service does not start sufficiently quickly. We study a comprehensive model of multi-class queue scheduling accounting for customer abandonment, with the objective of minimizing the total discounted or time-average sum of linear waiting costs, completion rewards and abandonment penalties of customers in the sy...

Queueing Systems with

Queueing Systems with Customer Abandonments and Retrials by Song Deng Doctor of Philosophy in Engineering Industrial Engineering & Operations Research University of California, Berkeley Assistant Professor Ying-Ju Chen , Co-chair Professor Zuo-Jun “Max” Shen , Co-chair In queueing theory, the phenomenon that customers get impatient and renege from the system when the waiting time exceeds their ...

Queueing Systems

A Uniformization Approach for the Dynamic Control of Queueing Systems with Abandonments

We consider queueing systems with generally distributed abandonment times. By explicitly modeling the waiting time of the first customer in line, we obtain a natural bounded jump Markov process allowing for uniformization. This approach is useful to solve, via dynamic programming, various optimization problems where the objectives and/or constraints involve the distributions of the performance ...

Queueing systems on a circle

Consider a ring on which customers arrive according to a Poisson process. Arriving customers drop somewhere on the circle and wait there for a server who travels on the ring. Whenever this server encounters a customer, he stops and serves the customer according to an arbitrary service time distribution. After the service is completed, the server removes the client from the circle and resumes hi...