Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/178287
Authors: 
Corominas, Albert
Year of Publication: 
2017
Citation: 
[Journal:] Operations Research Perspectives [ISSN:] 2214-7160 [Volume:] 4 [Year:] 2017 [Pages:] 118-122
Abstract: 
A non-linear discrete-time mathematical program model is proposed to determining the optimal extraction policy for a single primary supplier of a durable non-renewable resource, such as gemstones or some metals. Karush, Kuhn and Tucker conditions allow obtaining analytic solutions and general properties of them in some specific settings. Moreover, provided that the objective function (i.e., the discounted value of the incomes throughout the planning horizon) is concave, the model can be easily solved, even using standard commercial solver. However, the analysis of the solutions obtained for different assumptions of the values of the parameters show that the optimal extraction policies and the corresponding prices do not exhibit a general shape.
Subjects: 
Durable non-renewable resources
Single primary supplier
Non-linear programming
Persistent Identifier of the first edition: 
Creative Commons License: 
http://creativecommons.org/licenses/by-nc-nd/4.0/
Document Type: 
Article

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