Results 31 to 40 of about 11,373 (144)

Some Results on Bellman Equations of Optimal Production Control in a Stochastic Manufacturing System

open access: yesJournal of Probability and Statistics, 2009
The paper studies the production inventory problem of minimizing the expected discounted present value of production cost control in a manufacturing system with degenerate stochastic demand. We establish the existence of a unique solution of the Hamilton-
Azizul Baten, Anton Abdulbasah Kamil
doaj   +1 more source

Optimization of Boiler Soot Blowing Based on Hamilton-Jacobi-Bellman Equation

open access: yesIEEE Access, 2019
In this paper, the optimization of the boiler soot blowing is investigated based on the Hamilton-Jacobi-Bellman (HJB) equation and from the standpoint of the equipment health management.
Jie Wen   +4 more
doaj   +1 more source

Path integrals and symmetry breaking for optimal control theory [PDF]

open access: yes, 2005
This paper considers linear-quadratic control of a non-linear dynamical system subject to arbitrary cost. I show that for this class of stochastic control problems the non-linear Hamilton-Jacobi-Bellman equation can be transformed into a linear equation.
Bellman R   +10 more
core   +4 more sources

Differential Games for Fractional-Order Systems: Hamilton–Jacobi–Bellman–Isaacs Equation and Optimal Feedback Strategies

open access: yesMathematics, 2021
The paper deals with a two-person zero-sum differential game for a dynamical system described by differential equations with the Caputo fractional derivatives of an order α∈(0,1) and a Bolza-type cost functional.
Mikhail I. Gomoyunov
doaj   +1 more source

Optimal Time-Consistent Investment Strategy for a Random Household Expenditure with Default Risk under Relative Performance

open access: yesComplexity, 2021
Considering the mind of rivalry between families, each family focuses not only on its own wealth but also on other families, especially neighbors. In this paper, we investigate the non-zero-sum mean-variance game between two families with a random ...
Wenjin Guan, Wei Yuan, Sheng Li
doaj   +1 more source

Optimal debt ratio and dividend payment strategies with reinsurance [PDF]

open access: yes, 2015
This paper derives the optimal debt ratio and dividend payment strategies for an insurance company. Taking into account the impact of reinsurance policies and claims from the credit derivatives, the surplus process is stochastic that is jointly ...
Jin, Z, Yang, H, Yin, G
core   +1 more source

Stochastic differential equations harvesting optimization with stochastic prices: Formulation and numerical solution

open access: yesResults in Applied Mathematics
This work aims to achieve optimal harvesting in a random setting with a stochastic price structure. We use a general growth function to model the harvested population, a geometric Brownian motion to model price change, and add fluctuations in the ...
Miguel Reis, Nuno M. Brites
doaj   +1 more source

The Optimal Strategy to Research Pension Funds in China Based on the Loss Function

open access: yesData Science Journal, 2007
Based on the theory of actuarial present value, a pension fund investment goal can be formulated as an objective function. The mean-variance model is extended by defining the objective loss function.
Jian-wei Gao   +2 more
doaj   +1 more source

Analysis of Hamilton-Jacobi-Bellman equations arising in stochastic singular control [PDF]

open access: yes, 2011
We study the partial differential equation max{Lu - f, H(Du)}=0 where u is the unknown function, L is a second-order elliptic operator, f is a given smooth function and H is a convex function.
Hynd, Ryan
core   +1 more source

Liouville properties and critical value of fully nonlinear elliptic operators [PDF]

open access: yes, 2016
We prove some Liouville properties for sub- and supersolutions of fully nonlinear degenerate elliptic equations in the whole space. Our assumptions allow the coefficients of the first order terms to be large at infinity, provided they have an appropriate
Bardi, Martino, Cesaroni, Annalisa
core   +2 more sources

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