A model for rational abandonments from invisible queues
Queueing Systems: Theory and Applications
Designing a Call Center with Impatient Customers
Manufacturing & Service Operations Management
Heavy Traffic Limits for Queues with Many Deterministic Servers
Queueing Systems: Theory and Applications
Call Centers with Impatient Customers: Many-Server Asymptotics of the M/M/n + G Queue
Queueing Systems: Theory and Applications
Fluid Models for Multiserver Queues with Abandonments
Operations Research
Fluid Limits for Processor-Sharing Queues with Impatience
Mathematics of Operations Research
Queues with Many Servers: The Virtual Waiting-Time Process in the QED Regime
Mathematics of Operations Research
Service Interruptions in Large-Scale Service Systems
Management Science
Law of Large Number Limits of Limited Processor-Sharing Queues
Mathematics of Operations Research
Queues with Many Servers and Impatient Customers
Mathematics of Operations Research
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We study many-server queues with abandonment in which customers have general service and patience time distributions. The dynamics of the system are modeled using measure-valued processes, to keep track of the residual service and patience times of each customer. Deterministic fluid models are established to provide a first-order approximation for this model. The fluid model solution, which is proved to uniquely exist, serves as the fluid limit of the many-server queue, as the number of servers becomes large. Based on the fluid model solution, first-order approximations for various performance quantities are proposed.