Minimizing the Profligacy of Searches with Reset - Archive ouverte HAL
Article Dans Une Revue Physical Review E Année : 2024

Minimizing the Profligacy of Searches with Reset

Résumé

We introduce the profligacy of a search process as a competition between its expected cost and the probability of finding the target. The arbiter of the competition is a parameter $\lambda$ that represents how much a searcher invests into increasing the chance of success. Minimizing the profligacy with respect to the search strategy specifies the optimal search. We show that in the case of diffusion with stochastic resetting, the amount of resetting in the optimal strategy has a highly nontrivial dependence on model parameters resulting in classical continuous transitions, discontinuous transitions and tricritical points as well as non-standard discontinuous transitions exhibiting re-entrant behavior and overhangs.

Dates et versions

hal-04827663 , version 1 (09-12-2024)

Identifiants

Citer

John C. Sunil, Richard A. Blythe, Martin R. Evans, Satya N. Majumdar. Minimizing the Profligacy of Searches with Reset. Physical Review E , 2024, 110, pp.054122. ⟨10.1103/PhysRevE.110.054122⟩. ⟨hal-04827663⟩
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