Sustainable Management of Tourist Flow Networks: A Mean Field Model

Joseph Andria (), Rosario Maggistro () and Raffaele Pesenti ()
Additional contact information
Joseph Andria: Università di Palermo
Rosario Maggistro: Università di Trieste
Raffaele Pesenti: Università Ca’ Foscari Venezia

Journal of Optimization Theory and Applications, 2023, vol. 196, issue 2, No 14, 730-761

Abstract: Abstract In this article, we propose a mean field game approach for modeling the flows of excursionists within a network of tourist attractions. We prove the existence of an equilibrium within the network using a balance ordinary differential equation together with optimality conditions in terms of the value function. We also propose a bi-level formulation of the problem where we aim at achieving a sustainable-oriented control strategy in the upper level and at maximizing excursionists’ satisfaction in the lower level. Our proposed model may provide an effective management tool for local authorities who deal with the challenging problem of finding an optimal control policy to the often conflicting objectives of ensuring the maximum excursionists’ satisfaction while pursuing the highest sustainability benefits.

Keywords: Network flow optimal control; Mean field game; Bi-level optimization; Sustainability; Primary: 91A13; 90B50; 49J15; 90B10; Secondary: 91A25; 91A35 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-023-02158-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:196:y:2023:i:2:d:10.1007_s10957-023-02158-8

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-023-02158-8

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().