Sequential capacity expansion options

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dc.contributor.author Bensoussan, Alain
dc.contributor.author Chevalier-Roignant, Benoît
dc.date.accessioned 2019-02-07T19:22:40Z
dc.date.available 2019-02-07T19:22:40Z
dc.date.issued 2018-10-09
dc.identifier.citation Alain Bensoussan and Benoît Chevalier-Roignant. Sequential capacity expansion options. Operations Research, Volume 67, Issue 1, 2019, pp. 33-57 en_UK
dc.identifier.issn 0030-364X
dc.identifier.uri https://doi.org/10.1287/opre.2018.1752
dc.identifier.uri http://dspace.lib.cranfield.ac.uk/handle/1826/13894
dc.description.abstract This paper considers a firm’s capacity expansion decisions under uncertainty. The firm has leeway in timing investments and in choosing how much capacity to install at each investment time. We model this problem as the sequential exercising of compound capacity expansion options with embedded optimal capacity choices. We employ the impulse control methodology and obtain a quasi-variational inequality that involves two state variables: an exogenous, stochastic price process and a controlled capacity process (without a diffusion term). We provide a general verification theorem and identify—and prove the optimality of—a two-dimensional (s,S) (s,S) -type policy for a specific (admittedly restrictive) choice of the model parameters and of the running profit. The firm delays investment in capacity to ensure that the perpetuity value of newly installed capacity exceeds the total opportunity cost, including the fixed cost component, by a sufficient margin. Our general model for “the option to expand” transcends a single-option exercise and yields predictions of both the optimal investment timing and the optimal scale of production. en_UK
dc.language.iso en en_UK
dc.publisher INFORMS en_UK
dc.rights Attribution-NonCommercial 4.0 International *
dc.rights.uri http://creativecommons.org/licenses/by-nc/4.0/ *
dc.subject investment under uncertainty en_UK
dc.subject hysteresis en_UK
dc.subject capacity investment en_UK
dc.subject real options en_UK
dc.title Sequential capacity expansion options en_UK
dc.type Article en_UK


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