A fluid model for systems with random disruptions
Operations Research - Supplement to Operations Research: stochastic processes
A storage model with a two-state random environment
Operations Research - Supplement to Operations Research: stochastic processes
Designing a Call Center with Impatient Customers
Manufacturing & Service Operations Management
Analysis on queueing systems with synchronous vacations of partial servers
Performance Evaluation
Role of oxidizer in the chemical mechanical planarization of the Ti/TiN barrier layer
Microelectronic Engineering
Analysis of Queueing Systems with Synchronous Single Vacation for Some Servers
Queueing Systems: Theory and Applications
Stochastic Decomposition in M/M/∞ Queues with Markov Modulated Service Rates
Queueing Systems: Theory and Applications
Analysis of customers' impatience in queues with server vacations
Queueing Systems: Theory and Applications
The M/M/∞ queue in a random environment
Queueing Systems: Theory and Applications
Scheduling Flexible Servers with Convex Delay Costs in Many-Server Service Systems
Manufacturing & Service Operations Management
Service Interruptions in Large-Scale Service Systems
Management Science
Stochastic decomposition of the M/G/∞ queue in a random environment
Operations Research Letters
Service Interruptions in Large-Scale Service Systems
Management Science
Heavy-traffic limits for nearly deterministic queues: stationary distributions
Queueing Systems: Theory and Applications
Critically Loaded Time-Varying Multiserver Queues: Computational Challenges and Approximations
INFORMS Journal on Computing
Maintenance of infinite-server service systems subjected to random shocks
Computers and Industrial Engineering
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We establish many-server heavy-traffic limits for G/M/n+M queueing models, allowing customer abandonment (the +M), subject to exogenous regenerative service interruptions. With unscaled service interruption times, we obtain a FWLLN for the queue-length process, where the limit is an ordinary differential equation in a two-state random environment. With asymptotically negligible service interruptions, we obtain a FCLT for the queue-length process, where the limit is characterized as the pathwise unique solution to a stochastic integral equation with jumps. When the arrivals are renewal and the interruption cycle time is exponential, the limit is a Markov process, being a jump-diffusion process in the QED regime and an O---U process driven by a Levy process in the ED regime (and for infinite-server queues). A stochastic-decomposition property of the steady-state distribution of the limit process in the ED regime (and for infinite-server queues) is obtained.