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We consider the problem of customer equilibrium strategies in an M/M/1 queue under dynamic service control. The service rate switches between a low and a high value depending on system congestion. Arriving customers do not observe the…

最优化与控制 · 数学 2011-12-07 Y. Dimitrakopoulos , A. Burnetas

Controllable Markov chains describe the dynamics of sequential decision making tasks and are the central component in optimal control and reinforcement learning. In this work, we give the general form of an optimal policy for learning…

机器学习 · 计算机科学 2025-12-24 Peter N. Loxley

The paper considers the optimal control problem of inventory of a discrete product in regeneration scheme with a Poisson flow of customer requirements. In the system deferred demand is allowed, the volume of which is limited by a given…

最优化与控制 · 数学 2020-01-31 P. V. Shnurkov , N. A. Vakhtanov

In a classical optimal stopping problem the aim is to maximize the expected value of a functional of a diffusion evaluated at a stopping time. This note considers optimal stopping problems beyond this paradigm. We study problems in which…

概率论 · 数学 2017-08-04 Vicky Henderson , David Hobson , Matthew Zeng

We study a passenger-taxi double-ended queue with impatient passengers and two-point matching time in this paper. The system considered in this paper is different from those considered in the existing literature, which fully considers the…

概率论 · 数学 2021-01-29 Zhen Wang , Cheryl Yang , Liwei Liu , Yiqiang Q. Zhao

The problem of portfolio optimization is one of the most important issues in asset management. This paper proposes a new dynamic portfolio strategy based on the time-varying structures of MST networks in Chinese stock markets, where the…

统计金融 · 定量金融 2017-04-12 Fei Ren , Ya-Nan Lu , Sai-Ping Li , Xiong-Fei Jiang , Li-Xin Zhong , Tian Qiu

We study optimal fidelity selection for a human operator servicing a queue of homogeneous tasks. The agent can service a task with a normal or high fidelity level, where fidelity refers to the degree of exactness and precision while…

人机交互 · 计算机科学 2023-10-10 Piyush Gupta , Vaibhav Srivastava

We introduce a distributional method for learning the optimal policy in risk averse Markov decision process with finite state action spaces, latent costs, and stationary dynamics. We assume sequential observations of states, actions, and…

机器学习 · 计算机科学 2023-03-01 Ziteng Cheng , Sebastian Jaimungal , Nick Martin

In this paper, we consider joint drift rate control and impulse control for a stochastic inventory system under long-run average cost criterion. Assuming the inventory level must be nonnegative, we prove that a…

最优化与控制 · 数学 2020-09-03 Ping Cao , Dacheng Yao

We consider a multi-stage stochastic lot-sizing problem with service level constraints and supplier-driven product substitution. A firm has multiple products and it has the option to meet demand from substitutable products at a cost.…

最优化与控制 · 数学 2023-01-03 Narges Sereshti , Merve Bodur , James R. Luedtke

With the simultaneous rise of energy costs and demand for cloud computing, efficient control of data centers becomes crucial. In the data center control problem, one needs to plan at every time step how many servers to switch on or off in…

性能 · 计算机科学 2018-01-25 Paul Weng , Zeqi Qiu , John Costanzo , Xiaoqi Yin , Bruno Sinopoli

We study a dynamic scheduling problem for a multi-class queueing network with a large pool of statistically identical servers. The arrival processes are Poisson, and service times and patience times are assumed to be exponentially…

概率论 · 数学 2015-10-30 Ari Arapostathis , Anup Biswas , Guodong Pang

In ergodic singular stochastic control problems, a decision-maker can instantaneously adjust the evolution of a state variable using a control of bounded variation, with the goal of minimizing a long-term average cost functional. The cost…

最优化与控制 · 数学 2025-10-14 Alessandro Calvia , Federico Cannerozzi , Giorgio Ferrari

In pursuit of a more sustainable and cost-efficient last mile, parcel lockers have gained a firm foothold in the parcel delivery landscape. To fully exploit their potential and simultaneously ensure customer satisfaction, successful…

人工智能 · 计算机科学 2024-09-13 Daniela Sailer , Robert Klein , Claudius Steinhardt

Motivated by applications from gig economy and online marketplaces, we study a two-sided queueing system under joint pricing and matching controls. The queueing system is modeled by a bipartite graph, where the vertices represent customer…

最优化与控制 · 数学 2025-03-12 Sushil Mahavir Varma , Pornpawee Bumpensanti , Siva Theja Maguluri , He Wang

Motivated by applications in online marketplaces such as ride-hailing platforms and payment channel networks, we study a single-server queue with state-dependent arrival control. The service operator dynamically chooses the arrival rate as…

最优化与控制 · 数学 2026-02-03 Tianze Qu , Sushil Mahavir Varma

We consider the stochastic scheduling problem of minimizing the expected makespan on $m$ parallel identical machines. While the (adaptive) list scheduling policy achieves an approximation ratio of $2$, any (non-adaptive) fixed assignment…

离散数学 · 计算机科学 2021-06-30 Guillaume Sagnol , Daniel Schmidt genannt Waldschmidt

This paper studies the problem of optimal flow control in dynamic inventory systems. A dynamic optimal distribution problem, including time-varying supply and demand, capacity constraints on the transportation lines, and convex flow cost…

最优化与控制 · 数学 2014-03-28 Mathias Bürger , Claudio De Persis , Frank Allgöwer

We consider the problem of designing an expected-revenue maximizing mechanism for allocating multiple non-perishable goods of $k$ varieties to flexible consumers over $T$ time steps. In our model, a random number of goods of each variety…

计算机科学与博弈论 · 计算机科学 2020-07-08 Shiva Navabi , Ashutosh Nayyar

A key operational challenge for call centers is to decide, in real time, which waiting customer should be served by which available agent. This is known as skill-based routing, and the decision becomes especially difficult in large systems…

系统与控制 · 电气工程与系统科学 2026-05-12 Baris Ata , Ebru Kasikaralar