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Gibbs Distribution and the Repairman Problem.
- Source :
-
Mathematics (2227-7390) . Oct2023, Vol. 11 Issue 19, p4120. 14p. - Publication Year :
- 2023
-
Abstract
- In this paper, we obtain weak convergence results for a family of Gibbs measures depending on the parameter θ > 0 in the following form d P θ (x) = Z θ exp − H θ (x) / θ d Q (x) , where we show that the limit distribution is concentrated in the set of the global minima of the limit Gibbs potential. We also give an explicit calculus for the limit distribution. Here, we use the above as an alternative to Lyapunov's function or to direct methods for stationary probability convergence and apply it to the repairman problem. Finally, we illustrate this method with a numerical example. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BOLTZMANN factor
*LYAPUNOV functions
*CALCULUS
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 19
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 172986131
- Full Text :
- https://doi.org/10.3390/math11194120