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We study two-armed Levy bandits in continuous-time, which have one safe arm that yields a constant payoff s, and one risky arm that can be either of type High or Low; both types yield stochastic payoffs generated by a Levy process. The…

概率论 · 数学 2009-06-05 Asaf Cohen , Eilon Solan

This article treats long term average impulse control problems with running costs in the case that the underlying process is a L\'evy process. Under quite general conditions we characterize the value of the control problem as the value of a…

概率论 · 数学 2020-05-15 Sören Christensen , Tobias Sohr

We consider a version of the stochastic inventory control problem for a spectrally positive L\'evy demand process, in which the inventory can only be replenished at independent exponential times. We show the optimality of a periodic barrier…

最优化与控制 · 数学 2020-09-16 José-Luis Pérez , Kazutoshi Yamazaki , Alain Bensoussan

Consider the problem of a central bank that wants to manage the exchange rate between its domestic currency and a foreign one. The central bank can purchase and sell the foreign currency, and each intervention on the exchange market leads…

最优化与控制 · 数学 2017-12-07 Giorgio Ferrari , Tiziano Vargiolu

Small-to-medium size enterprises (SMEs), including many startup firms, need to manage interrelated flows of cash and inventories of goods. In this paper, we model a firm that can finance its inventory (ordered or manufactured) with loans in…

最优化与控制 · 数学 2015-09-23 Michael N. Katehakis , Benjamin Melamed , Jim Shi

We study the cost of fast controls for a linearized KdV system and a nonlinear KdV system locally, using right Neumann boundary control for non-critical lengths. Since the operator associated with the linearized system is neither…

最优化与控制 · 数学 2026-02-16 Hoai-Minh Nguyen

We study a two-stage tandem service queue attended by two servers. Each job-server pair must complete both service phases together, with the server unable to begin a new job until the current one is fully processed after two stages.…

最优化与控制 · 数学 2026-01-21 Shuwen Lu , Jamol Pender , Mark E. Lewis

A system manager dynamically controls a diffusion process Z that lives in a finite interval [0,b]. Control takes the form of a negative drift rate \theta that is chosen from a fixed set A of available values. The controlled process evolves…

概率论 · 数学 2007-05-23 Bar Ata , J. M. Harrison , L. A. Shepp

Scheduling control problems for a family of unitary networks under heavy traffic with general interarrival and service times, probabilistic routing and an infinite horizon discounted linear holding cost are studied. Diffusion control…

概率论 · 数学 2012-05-07 Amarjit Budhiraja , Arka P. Ghosh

We consider the problem of the optimal trading strategy in the presence of a price predictor, linear trading costs and a quadratic risk control. The solution is known to be a band system, a policy that induces a no-trading zone in the…

数理金融 · 定量金融 2020-03-18 Joachim de Lataillade , Ayman Chaouki

In a one-sided limit order book, satisfying some realistic assumptions, where the unaffected price process follows a Levy process, we consider a market agent that wants to liquidate a large position of shares. We assume that the agent has…

交易与市场微观结构 · 定量金融 2020-11-02 Arne Lokka , Junwei Xu

In this paper we study the optimal dividend problem for a company whose surplus process evolves as a spectrally positive Levy process. This model including the dual model of the classical risk model and the dual model with diffusion as…

投资组合管理 · 定量金融 2014-03-11 Chuancun Yin , Yuzhen Wen , Yongxia Zhao

Frequency control rebalances supply and demand while maintaining the network state within operational margins. It is implemented using fast ramping reserves that are expensive and wasteful, and which are expected to grow with the increasing…

最优化与控制 · 数学 2015-11-19 Enrique Mallada , Changhong Zhao , Steven H. Low

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 consider a singular control problem that aims to maximize the expected cumulative rewards, where the instantaneous returns depend on the state of a controlled process. The contributions of this paper are twofold. Firstly, to establish…

最优化与控制 · 数学 2025-06-23 Mauricio Junca , Harold Moreno-Franco , Jose Luis Perez

Consider the optimal dividend problem for an insurance company whose uncontrolled surplus precess evolves as a spectrally negative Levy process. We assume that dividends are paid to the shareholders according to admissible strategies whose…

证券定价 · 定量金融 2014-02-26 Ying Shen , Chuancun Yin , Kam Chuen Yuen

This paper examines the dividend and investment policies of a cash constrained firm that has access to costly external funding. We depart from the literature by allowing the firm to issue collateralized debt to increase its investment in…

投资组合管理 · 定量金融 2015-11-05 Erwan Pierre , Stéphane Villeneuve , Xavier Warin

We propose a design for schedule-based execution trading strategies based on uncertainty bands. This formulation: 1) simplifies strategy specification and implementation; 2) provides for flexible allocation among passive, opportunistic,…

交易与市场微观结构 · 定量金融 2014-09-05 Vladimir Markov , Slava Mazur , David Saltz

This paper investigates performance limitations and tradeoffs in the control design for linear time-invariant systems. It is shown that control specifications in time domain and in frequency domain are always mutually exclusive determined…

系统与控制 · 计算机科学 2014-02-25 Ji King

The optimal power flow problem plays an important role in the market clearing and operation of electric power systems. However, with increasing uncertainty from renewable energy operation, the optimal operating point of the system changes…

最优化与控制 · 数学 2018-01-25 Yeesian Ng , Sidhant Misra , Line A. Roald , Scott Backhaus