Optimal stopping for measure-valued piecewise deterministic Markov processes

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Numerical method for optimal stopping of piecewise deterministic Markov processes

We propose a numerical method to approximate the value function for the optimal stopping problem of a piecewise deterministic Markov process (PDMP). Our approach is based on quantization of the post jump location – inter-arrival time Markov chain naturally embedded in the PDMP, and path-adapted time discretization grids. It allows us to derive bounds for the convergence rate of the algorithm an...

متن کامل

Optimal Stopping and Gittins' Indices for Piecewise Deterministic Evolution Processes

An optimal stopping problem involving a piecewise determinis-tic evolution processes is explicitly solved using the method of quasi-variational inequalities. The explicit solution derived ooer the possibility to explicitly discuss the associated dynamic allocation problems by means of the Gittins indices.

متن کامل

Numerical methods for optimal control of piecewise deterministic Markov processes

Scientific Research context: In 1980, M.H.A. Davis [1] introduced in probability theory Piecewise Deterministic Markov Processes (PDMP) as a general class of models suitable for formulating optimization problems in queuing and inventory systems, maintenance-replacement models, investment scheduling and many other areas of operation research. In the continuous-time context, stochastic control th...

متن کامل

Optimal Stopping Problems for Some Markov Processes

In this paper, we solve explicitly the optimal stopping problem with random discounting and an additive functional as cost of observations for a regular linear diffusion. We also extend the results to the class of one-sided regular Feller processes. This generalizes the result of Beibel and Lerche [Statist. Sinica 7 (1997) 93–108] and [Teor. Veroyatn. Primen. 45 (2000) 657–669] and Irles and Pa...

متن کامل

Optimal Stopping Games for Markov Processes

where the horizon T (the upper bound for τ and σ above) may be either finite or infinite (it is assumed that G1(XT ) = G2(XT ) if T is finite and lim inft→∞G2(Xt) ≤ lim supt→∞G1(Xt) if T is infinite). If X is right-continuous, then the Stackelberg equilibrium holds, in the sense that V ∗(x) = V∗(x) for all x with V := V ∗ = V∗ defining a measurable function. If X is right-continuous and left-co...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Applied Probability

سال: 2020

ISSN: 0021-9002,1475-6072

DOI: 10.1017/jpr.2020.18