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An optimization model for the management of green areas
Author(s) -
Daniele Patrizia,
Sciacca Daniele
Publication year - 2021
Publication title -
international transactions in operational research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.032
H-Index - 52
eISSN - 1475-3995
pISSN - 0969-6016
DOI - 10.1111/itor.12987
Subject(s) - variational inequality , minification , mathematical optimization , space (punctuation) , order (exchange) , process (computing) , mathematics , inequality , computer science , economics , mathematical analysis , finance , operating system
In this paper, we present an optimization model for the management of the green area in order to find the optimal green surface to absorb CO 2 emissions of industrialized cities. We obtain a minimization problem and the related variational inequality. We study the Lagrange theory to better understand the process that regulates the possible increase in green space. Then, we propose a computational procedure, based on the Euler method, to find the optimal solution to the variational inequality associated with our minimization problem and, finally, some numerical examples based on real scenarios.