32 citations · 297 across the 46 of their papers we have counts for
12 papers · 1 filter
Faber-Krahn type inequalities and uniqueness of positive solutions on metric measure spaces
Anup Biswas, Janna Lierl
We consider a general class of metric measure spaces equipped with a regular Dirichlet form and then provide a lower bound on the hitting time probabilities of the associated Hunt…
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…
Mean Field Games with Ergodic cost for Discrete Time Markov Processes
Anup Biswas
We consider mean field games with ergodic cost in the framework of a general discrete time controlled Markov processes. The state space of the processes is given by a general -c…
Controlled equilibrium selection in stochastically perturbed dynamics
Ari Arapostathis, Anup Biswas, Vivek S. Borkar
We consider a dynamical system with finitely many equilibria and perturbed by small noise, in addition to being controlled by an `expensive' control. The controlled process is opti…
An ergodic control problem for many-server multiclass queueing systems with cross-trained servers
Anup Biswas
AM/M/N+Mqueueingnetworkisconsideredwithdindependentcustomerclasses and d server pools in Halfin-Whitt regime. Class i customers has priority for service in pool i for i = 1, . . .…