activity
20192026
most citedLoad balancing system under Join the Shortest Queue: Many-Server-Heavy-Traffic Asymptotics

14 citations · 27 across the 8 of their papers we have counts for

collaborators

8 papers

math.OC2026

Transform Method for Stochastic Processing and Matching Networks

Sushil Mahavir Varma, Prakirt Jhunjhunwala, Daniela Hurtado-Lange +1

Modern service systems, ranging from cloud data centers and ride-hailing platforms to healthcare facilities, operate at massive scales where it is important to handle congestion. Q…

math.PR2026

Markov Modulated JSQ in Heavy Traffic Via the Poisson Equation

Daniela Hurtado-Lange, Izzy Grosof

In parallel-server systems with a single stream of arrivals (a.k.a. load balancing), Join-the-Shortest-Queue (JSQ) is a popular routing algorithm. There is extensive literature stu…

cs.PF2025

Outperforming Multiserver SRPT at All Loads

Izzy Grosof, Daniela Hurtado-Lange

A well-designed scheduling policy can unlock significant performance improvements with no additional resources. Multiserver SRPT (SRPT-k) is known to achieve asymptotically optimal…

math.PR2023★ 1 cited

Exponential Tail Bounds on Queues: A Confluence of Non-Asymptotic Heavy Traffic and Large Deviations

Prakirt Raj Jhunjhunwala, Daniela Hurtado-Lange, Siva Theja Maguluri

In general, obtaining the exact steady-state distribution of queue lengths is not feasible. Therefore, we establish bounds for the tail probabilities of queue lengths. Specifically…

math.PR2020★ 14 cited

Load balancing system under Join the Shortest Queue: Many-Server-Heavy-Traffic Asymptotics

Daniela Hurtado-Lange, Siva Theja Maguluri

We study the load balancing system operating under Join the Shortest Queue (JSQ) in the many-server heavy-traffic regime. If is the number of servers, we let the difference bet…

math.PR2020★ 10 cited

Throughput and Delay Optimality of Power-of-d Choices in Inhomogeneous Load Balancing Systems

Daniela Hurtado-Lange, Siva Theja Maguluri

It is well-known that the power-of-d choices routing algorithm maximizes throughput and is heavy-traffic optimal in load balancing systems with homogeneous servers. However, if the…

math.PR2020

Logarithmic Heavy Traffic Error Bounds in Generalized Switch and Load Balancing Systems

Daniela Hurtado-Lange, Sushil Mahavir Varma, Siva Theja Maguluri

Motivated by application in wireless networks, cloud computing, data centers etc, Stochastic Processing Networks have been studied in the literature under various asymptotic regime…

math.PR2019★ 2 cited

Heavy-Traffic Analysis of Queueing Systems with no Complete Resource Pooling

D. Hurtado-Lange, S. T. Maguluri

We study the heavy-traffic limit of the generalized switch operating under MaxWeight, without assuming that the CRP condition is satisfied and allowing for correlated arrivals. The…