Abstract
This paper is devoted to the continuous time problems with concave costs in the case of no backlogging and impulse control.
We first give some results concerning the finite horizon problem. We then prove that it may exist a planning horizon only if a forecast horizon holds. Some results are given in order to find a planning horizon knowing a forecast horizon.
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Bibliography
A. BENSOUSSAN, M. CROUHY, J.M. PROTH, "Mathematical Theory of Production Planning", North Holland Publishing, 1983.
A. BENSOUSSAN, J.L. LIONS, Contrôle impulsionnel et inéquations quasi variationnelles, Dunod, Paris, 1982.
A. BENSSOUSSAN, J.M. PROTH, Inventory Planning in a deterministic environment. Concave set up in discrete and continuous time, Vienna, Nov. 1981.
A. BENSOUSSAN, J.M. PROTH, On some impulse control problems with concave costs, C.D.C., Déc. 1982.
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© 1984 Springer-Verlag
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Proth, J.M. (1984). The impulse control problem with concave costs: On the search of planning horizons. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006318
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DOI: https://doi.org/10.1007/BFb0006318
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