A solution is obtained for a generalized static model of input–output balance with delay with allowance for pollution control, the optimal trajectory being specified by a piecewise-differentiable function over [t 0, T], and the optimal control being described by a piecewise-continuous function over [t 0, T]. A solution algorithm is developed and results of computational modeling are presented.
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Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 164–174, September-October 2009.
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Boichuk, M.V., Shmurygina, N.M. Modeling a generalized ecological–economic input–output balance with delay. Cybern Syst Anal 45, 818–828 (2009). https://doi.org/10.1007/s10559-009-9143-z
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DOI: https://doi.org/10.1007/s10559-009-9143-z