A functional equation proposed by R. Bellman [PDF]
(1) f(uv, (UV)', * * * X (UV) (n)) = f(U, U, . I n(8)) + f(v,V, V n)) for arbitrary x and arbitrary nonzero n times differentiable functions u(x), v(x). What is the form of f for general n? At the suggestion of R. Bellman and of N. J. Fine (who has given another solution of this problem),' we give here a solution which seems to stress the proper ...
openaire +2 more sources
Quantitative Effects of Employment Protection in OECD Labor Markets
ABSTRACT This paper explores the quantitative role played by Employment Protection Legislation over employment and on‐the‐job training in the presence of dual labor markets across OECD economies. We extend the search and matching model by introducing formal education and investment decisions in training by firms, and a gap in firing costs between fixed‐
Joaquín Naval, José I. Silva
wiley +1 more source
Enhancing Q‐Learning via State‐Space Design for Active Battery Balancing
This study investigates the profound impact of state definition on the efficacy of Q‐learning for active battery balancing in lithium‐ion battery packs. We define and evaluate three distinct state representations—[State 1, 11‐state space definition], [State 2, 27‐state space definition], and [State 3, 81‐state space definition]—within a reinforcement ...
Fatemeh Ebrahimabadi +2 more
wiley +1 more source
Optimization of Boiler Soot Blowing Based on Hamilton-Jacobi-Bellman Equation
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
“Itô’s Lemma“ and the Bellman Equation for Poisson Processes: An Applied View [PDF]
Using the Hamilton-Jacobi-Bellman equation, we derive both a Keynes-Ramsey rule and a closed form solution for an optimal consumption-investment problem with labor income.
Ken Sennewald, Klaus Waelde
core
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
The Kolmogorov equation with time-measurable coefficients
Using both probabilistic and classical analytic techniques, we investigate the parabolic Kolmogorov equation $$ L_t v +frac {partial v}{partial t}equiv frac 12 a^{ij}(t)v_{x^ix^j} +b^i(t) v_{x^i} -c(t) v+ f(t) +frac {partial v}{partial t}=0 $$ in $H_T ...
Jay Kovats
doaj
Some Results on Bellman Equations of Optimal Production Control in a Stochastic Manufacturing System
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
INVERSE FUNCTIONAL EQUATIONS FOR BELLMAN'S ALLOCATION PROCESS [PDF]
The considerations in the paper concern the infinite-stage resource allocation process stated and solved by \textit{R. Bellman}[''Dynamic programming'', Princeton University Press (1957; Zbl 0077.136)]. A sufficient condition under which Bellman's main functional equation has a unique invertible solution \(z=f(x)\) is established.
openaire +2 more sources
A General Dynamic Programming Approach to the Optimal Water Storage Management for Irrigation
ABSTRACT This paper proposes a dynamic programming approach targeted to solve a natural resource problem of water storage management for irrigation in an environmentally and socially sustainable way. The problem we address in our formulation, focusing on the control of water storage in tanks, is based on assumptions that are less restrictive than those
Abdelkader Belhenniche +3 more
wiley +1 more source

