28 citations · 73 across the 9 of their papers we have counts for
12 papers · 1 filter
Large-time limit of nonlinearly coupled measure-valued equations that model many-server queues with reneging
Rami Atar, Weining Kang, Haya Kaspi +1
The large-time behavior of a nonlinearly coupled pair of measure-valued transport equations with discontinuous boundary conditions, parameterized by a positive real-valued paramete…
Law of large numbers for the many-server earliest-deadline-first queue
Rami Atar, Anup Biswas, Haya Kaspi
A many-server queue operating under the earliest deadline first discipline, where the distributions of service time and deadline are generic, is studied at the law of large numbers…
A Skorokhod Map on Measure-Valued Paths with Applications to Priority Queues
Rami Atar, Anup Biswas, Haya Kaspi +1
The Skorokhod map on the half-line has proved to be a useful tool for studying processes with non-negativity constraints. In this work we introduce a measure-valued analog of this…
Escape from the boundary in Markov population processes
A. D. Barbour, Kais Hamza, Haya Kaspi +1
Density dependent Markov population processes in large populations of size were shown by Kurtz (1970, 1971) to be well approximated over finite time intervals by the solution o…
Fluid limits of G/G/1+G queues under the non-preemptive earliest-deadline-first discipline
Rami Atar, Anup Biswas, Haya Kaspi
A single-server queuing model is considered with customers that have deadlines. If a customer's deadline elapses before service is offered, the customer abandons the system (custom…
SPDE Limits of Many Server Queues
Haya Kaspi, Kavita Ramanan
A many-server queueing system is considered in which customers with independent and identically distributed service times enter service in the order of arrival. The state of the sy…