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Bioeconomic modeling of household waste recovery
  • Nadia Raissi,
  • Noha ElKattabi,
  • Othman Cherkaoui-Dekkaki
Nadia Raissi
Université Mohammed V de Rabat

Corresponding Author:[email protected]

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Noha ElKattabi
Université Mohammed V de Rabat Faculté des Sciences
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Othman Cherkaoui-Dekkaki
Université Mohammed V Agdal Faculté des Sciences
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The ecological consciousness has driven developed societies to explore alterna- tives to the growing need for energy and the consequent increase in waste pro- duction. The adjustment towards the waste recovery and their transformation into energy, by various processes, is then necessary. However, so far the domain has not benefited much from a mathematical modeling approach. The main con- tribution of this work consists of building a bio-economic model describing the problem of a potential investor who aims to maximize his net profit generated by selling the produced energy from the household waste transformation. We first study the evolution of a waste stock, the energy quantity produced and the capital dedicated to the transformation process in a giving landfill and recovery center. Then we insert decision variables to this dynamic which are both the investment and the part of waste to be treated. This leads to an optimal control problem which we solve by the deductive method. The resulted solution is then illustrated by some numerical simulations. This investment policy would be to support the decision-makers to go toward investment in this activity.
15 Aug 2020Submitted to Mathematical Methods in the Applied Sciences
18 Aug 2020Submission Checks Completed
18 Aug 2020Assigned to Editor
07 Sep 2020Reviewer(s) Assigned
07 Dec 2020Review(s) Completed, Editorial Evaluation Pending
09 Dec 2020Editorial Decision: Revise Major
21 Jan 20211st Revision Received
24 Jan 2021Assigned to Editor
24 Jan 2021Submission Checks Completed
24 Jan 2021Reviewer(s) Assigned
11 Feb 2021Review(s) Completed, Editorial Evaluation Pending
15 Mar 2021Editorial Decision: Revise Major
02 Apr 20212nd Revision Received
03 Apr 2021Submission Checks Completed
03 Apr 2021Assigned to Editor
03 Apr 2021Reviewer(s) Assigned
12 Apr 2021Review(s) Completed, Editorial Evaluation Pending
13 Jul 2021Editorial Decision: Accept