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Related papers: An escape time criterion for queueing networks: As…

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We consider optimal control of a stochastic network,where service is controlled to prevent buffer overflow. We use a risk-sensitive escape time criterion, which in comparison to the ordinary escape time criteria heavily penalizes exits…

Probability · Mathematics 2007-05-23 Rami Atar , Paul Dupuis , Adam Shwartz

We study sequences, parametrized by the number of agents, of many agent exit time stochastic control problems with risk-sensitive cost structure. We identify a fully characterizing assumption, under which each of such control problem…

Optimization and Control · Mathematics 2018-08-23 Paul Dupuis , Vaios Laschos , Kavita Ramanan

A multi-class single-server queueing model with finite buffers, in which scheduling and admission of customers are subject to control, is studied in the moderate deviation heavy traffic regime. A risk-sensitive cost set over a finite time…

Probability · Mathematics 2018-05-02 Rami Atar , Asaf Cohen

The timing of strategic exit is one of the most important but difficult business decisions, especially under competition and uncertainty. Motivated by this problem, we examine a stochastic game of exit in which players are uncertain about…

Optimization and Control · Mathematics 2023-10-09 H. Dharma Kwon , Jan Palczewski

The paper solves constrained Dynkin games with risk-sensitive criteria, where two players are allowed to stop at two independent Poisson random intervention times, via the theory of backward stochastic differential equations. This…

Optimization and Control · Mathematics 2020-08-06 Gechun Liang , Haodong Sun

In this paper, we consider an expanding construction of a distributed control system, which is obtained by adding a new subsystem one after the other, until all $n$ subsystems, where $n \ge 2$, are included in the distributed control…

Optimization and Control · Mathematics 2014-09-30 Getachew K. Befekadu , Panos J. Antsaklis

We study a differential game that governs the moderate-deviation heavy-traffic asymptotics of a multiclass single-server queueing control problem with a risk-sensitive cost. We consider a cost set on a finite but sufficiently large time…

Probability · Mathematics 2018-05-02 Rami Atar , Asaf Cohen

In this paper we study a class of risk-sensitive Markovian control problems in discrete time subject to model uncertainty. We consider a risk-sensitive discounted cost criterion with finite time horizon. The used methodology is the one of…

Optimization and Control · Mathematics 2021-04-15 Tomasz R. Bielecki , Tao Chen , Igor Cialenco

We consider a two-sided singular stochastic control problem with a risk-sensitive ergodic criterion. In particular, we consider a stochastic system whose uncontrolled dynamics are modelled by a linear diffusion. The control that can be…

Optimization and Control · Mathematics 2025-09-15 Justin Gwee , Mihail Zervos

This paper studies robust time-inconsistent (TIC) linear-quadratic stochastic control problems, formulated by stochastic differential games. By a spike variation approach, we derive sufficient conditions for achieving the Nash equilibrium,…

Optimization and Control · Mathematics 2025-04-29 Bingyan Han , Chi Seng Pun , Hoi Ying Wong

A G/M/N queue is considered in the moderate deviation heavy traffic regime. The rate function for the customers-in-system process is obtained for the single class model. A risk-sensitive type control problem is considered for multi-class…

Optimization and Control · Mathematics 2013-03-12 Anup Biswas

This paper considers risk-sensitive model predictive control for stochastic systems with a decision-dependent distribution. This class of systems is commonly found in human-robot interaction scenarios. We derive computationally tractable…

Optimization and Control · Mathematics 2025-06-02 Renzi Wang , Mathijs Schuurmans , Panagiotis Patrinos

In this article we approach a class of stochastic reachability problems with state constraints from an optimal control perspective. Preceding approaches to solving these reachability problems are either confined to the deterministic setting…

Optimization and Control · Mathematics 2017-11-27 Peyman Mohajerin Esfahani , Debasish Chatterjee , John Lygeros

Intensity control is a class of continuous-time dynamic optimization problems with many important applications in Operations Research including queueing and revenue management. In this study, we propose a practical continuous-time…

Machine Learning · Computer Science 2026-04-14 Huiling Meng , Ningyuan Chen , Xuefeng Gao

Motivated by the recent interest in risk-aware control, we study a continuous-time control synthesis problem to bound the risk that a stochastic linear system violates a given specification. We use risk signal temporal logic as a…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Sleiman Safaoui , Lars Lindemann , Iman Shames , Tyler H. Summers

This paper tackles the problem of generating safe exit controllers for continuous-time systems described by stochastic differential equations (SDEs). The primary aim is to develop controllers that maximize the lower bounds of the exit…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Bai Xue

This paper concerns the risk-aware control of stochastic systems with temporal logic specifications dynamically assigned during runtime. Conventional risk-aware control typically assumes that all specifications are predefined and remain…

Systems and Control · Electrical Eng. & Systems 2024-05-01 Maico H. W. Engelaar , Zengjie Zhang , Mircea Lazar , Sofie Haesaert

We consider the problem of designing risk-sensitive optimal control policies for scheduling packet transmissions in a stochastic wireless network. A single client is connected to an access point (AP) through a wireless channel. Packet…

Systems and Control · Computer Science 2017-09-11 Rahul Singh , Xueying Guo , Eytan Modiano

In this paper, we consider risk-sensitive discounted control problem for continuous-time jump Markov processes taking values in general state space. The transition rates of underlying continuous-time jump Markov processes and the cost rates…

Optimization and Control · Mathematics 2021-04-27 Chandan Pal , Subrata Golui

We present a scheme for sequential decision making with a risk-sensitive objective and constraints in a dynamic environment. A neural network is trained as an approximator of the mapping from parameter space to space of risk and policy with…

Artificial Intelligence · Computer Science 2019-07-10 Shuai Ma , Jia Yuan Yu , Ahmet Satir
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