24 citations · 63 across the 25 of their papers we have counts for
16 papers · 1 filter
Stochastic Dynamics of Low Earth Orbit Near Full Capacity
Priyank Behera, Aditya S. Gopalan, Harsha Honnappa
The capacity of Low Earth Orbit (LEO) to sustain space operations is under mounting pressure from megaconstellations, legacy fragmentation debris, and new payload classes. Existing…
The Small-Noise Limit of the Most Likely Element is the Most Likely Element in the Small-Noise Limit
Zachary Selk, Harsha Honnappa
In this paper, we study the Onsager-Machlup function and its relationship to the Freidlin-Wentzell function for measures equivalent to arbitrary infinite dimensional Gaussian measu…
Diffusion Approximations for Queues In A Fast Oscillatory Random Environment
Harsha Honnappa, Yiran Liu, Samy Tindel +1
We study infinite server queues driven by Cox processes in a fast oscillatory random environment. While exact performance analysis is difficult, we establish diffusion approximatio…
Information Projection on Banach spaces with Applications to State Independent KL-Weighted Optimal Control
Zachary Selk, William Haskell, Harsha Honnappa
This paper studies constrained information projections on Banach spaces with respect to a Gaussian reference measure. Specifically our interest lies in characterizing projections o…
Infinite server queues in a random fast oscillatory environment
Harsha Honnappa, Yiran Liu, Samy Tindel +1
In this paper, we consider a infinite server queueing model in a random environment. More specifically, the arrival rate in our server is modeled as a highly fluct…
A Many-Server Functional Strong Law For A Non-Stationary Loss Model
Prakash Chakraborty, Harsha Honnappa
The purpose of this note is to show that it is possible to establish a many-server functional strong law of large numbers (FSLLN) for the fraction of occupied servers (i.e., the sc…
Strong Embeddings for Transitory Queueing Models
Prakash Chakraborty, Harsha Honnappa
In this paper we establish strong embedding theorems, in the sense of the Komlos-Major-Tusnady framework, for the performance metrics of a general class of transitory queueing mode…
Large Deviations of Bivariate Gaussian Extrema
Remco van der Hofstad, Harsha Honnappa
We establish sharp tail asymptotics for component-wise extreme values of bivariate Gaussian random vectors with arbitrary correlation between the components. We consider two scalin…
Dominating Points of Gaussian Extremes
Harsha Honnappa, Raghu Pasupathy, Prateek Jaiswal
We quantify the large deviations of Gaussian extreme value statistics on closed convex sets in d-dimensional Euclidean space. The asymptotics imply that the extreme value distribut…
Approximating Performance Measures for Slowly Changing Non-stationary Markov Chains
Zeyu Zheng, Harsha Honnappa, Peter W. Glynn
This paper is concerned with the development of rigorous approximations to various expectations associated with Markov chains and processes having non-stationary transition probabi…
Conditioned Functional Limits and Applications to Queues
Harsha Honnappa, Rahul Jain, Amy R. Ward
We consider a renewal process that is conditioned on the number of events in a fixed time horizon. We prove that a centered and scaled version of this process converges to a Browni…
Transitory Queueing Networks
Harsha Honnappa, Rahul Jain
Queueing networks are notoriously difficult to analyze sans both Markovian and stationarity assumptions. Much of the theoretical contribution towards performance analysis of time-i…
On Gaussian Limits and Large Deviations for Queues Fed by High Intensity Randomly Scattered Traffic
Peter W. Glynn, Harsha Honnappa
We study a single server FIFO queue that offers general service. Each of n customers enter the queue at random time epochs that are inde- pendent and identically distributed. We ca…
Rare Events of Transitory Queues
Harsha Honnappa
We study the rare event behavior of the workload process in a transitory queue, where the arrival epochs (or points) of a finite number of jobs are assumed to be the ordered statis…
On Transitory Queueing
Harsha Honnappa, Rahul Jain, Amy R. Ward
We introduce a framework and develop a theory of transitory queueing models. These are models that are not only non-stationary and time-varying but also have other features such as…
A queueing model with independent arrivals, and its fluid and diffusion limits
Harsha Honnappa, Rahul Jain, Amy R. Ward
We introduce the Δ(i)/GI/1 queue, a new queueing model. In this model, customers from a given population independently sample a time to arrive from some given distribution F. Thus,…