72 citations · 369 across the 34 of their papers we have counts for
4 papers · 2 filters
Asymptotic Optimality of Power-of- Load Balancing in Large-Scale Systems
Debankur Mukherjee, Sem C. Borst, Johan S. H. van Leeuwaarden +1
We consider a system of identical server pools and a single dispatcher where tasks arrive as a Poisson process of rate . Arriving tasks cannot be queued, and must immedia…
Universality of Power-of- Load Balancing in Many-Server Systems
Debankur Mukherjee, Sem C. Borst, Johan S. H. van Leeuwaarden +1
We consider a system of parallel single-server queues with unit exponential service rates and a single dispatcher where tasks arrive as a Poisson process of rate . When a…
Corrected mean-field model for random sequential adsorption on random geometric graphs
Souvik Dhara, Johan S. H. van Leeuwaarden, Debankur Mukherjee
A notorious problem in mathematics and physics is to create a solvable model for random sequential adsorption of non-overlapping congruent spheres in the -dimensional Euclidean…
Generalized random sequential adsorption on Erdős-Rényi random graphs
Souvik Dhara, Johan S. H. van Leeuwaarden, Debankur Mukherjee
We investigate Random Sequential Adsorption (RSA) on a random graph via the following greedy algorithm: Order the vertices at random, and sequentially declare each vertex eithe…