Optimal control of a production-inventory system with state constraints and a quadratic cost criterion
RAIRO - Operations Research - Recherche Opérationnelle, Tome 19 (1985) no. 3, pp. 275-292. 
@article{RO_1985__19_3_275_0,
     author = {Warschat, J.},
     title = {Optimal control of a production-inventory system with state constraints and a quadratic cost criterion},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {275--292},
     publisher = {EDP-Sciences},
     volume = {19},
     number = {3},
     year = {1985},
     mrnumber = {815870},
     zbl = {0586.90048},
     language = {en},
     url = {http://archive.numdam.org/item/RO_1985__19_3_275_0/}
}
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Warschat, J. Optimal control of a production-inventory system with state constraints and a quadratic cost criterion. RAIRO - Operations Research - Recherche Opérationnelle, Tome 19 (1985) no. 3, pp. 275-292. http://archive.numdam.org/item/RO_1985__19_3_275_0/

1. W. G. Boltjanski, Mathematische Methoden der optimalen Steuerung, Carl Hanser, Verlag, Münehen, 1972. | MR | Zbl

2. A. Bradshaw and Y. Erol, Control Policies for Production-Inventory Systems with Bounded Input, Int. J. Systems Sc, Vol 11, 1980, pp. 947-959. | MR | Zbl

3. G. Feichtinger, Anwendungendes Maximumprinzips im Operations Research, OR Spektrum, Vol 4, 1982, Teil 1 : No. 3, pp. 171-190, Teil 2 : No. 4, pp. 195-212. | Zbl

4. R. Gabasov and F. M. Kirillova, High OrderNecessary Conditions for Optimality, S.I.A.M. J. Control, Vol. 10, 1972, pp. 127-168. | MR | Zbl

5. I. V. Girsanov, Lectures on Mathematical Theory of Extremum Problems, Springer-Verlag, Berlin, Heidelberg, New York, 1972. | MR | Zbl

6. W. E. Hamilton, On Nonexistence of Boundary Arcs in Control Problems with Bounded State Variables, I.E.E.E. Trans. Autom, Control, Vol. 17, 1972. | Zbl

7. C. Holt, F. Modigliani, J. Muth and H. Simon, Planning Production Inventories and Work Force, Prentice-Hall, Englewood Cliffs, 1969.

8. D. H. Jacobson M. M. Lele and J. L. Speyer, New Necessary Conditions of Optimality for Control Problems with State-Variable Inequality Constraints, J. Math. Anal. Appl., Vol 35, 1971, pp. 255-283. | MR | Zbl

9. Th. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, 1980. | MR | Zbl

9. H. Maurer, On Optimal Control Problems with Bounded State Variables and Control Appearing Linearly, S.I.A.M. J. Control, Vol. 15, 1977, pp. 345-362. | MR | Zbl

11. J. P. Mcdanell and W. F. Powers, Necessary Conditions for Joining Optimal Singular and Nonsingular Subarcs, S.I.A.M. J. Control, Vol. 9, 1971, pp. 161-173. | MR | Zbl

12. S. P. Sethi, A Survey of Management Science Applications of the Deterministic Maximum Principle, T.I.M.S. Studies in the Management Sciences, Vol. 9, 1978, pp. 33-67, North-Holland, Amsterdam, New York. | MR | Zbl

13. J. Warschat and H.-J. Wunderlich, Time-Optimal Control Policies for Cascaded Production-Inventory Systems with Control and State Constraints, Int. J. Systems Sc, Vol. 15, 1984, pp. 513-524. | MR | Zbl

14. J. Warschat and H.-J. Wunderlich, Output Maximization for Cascaded Production-Inventory Systems with Control and State Constraints, J.O.T.A., Submitted. | Zbl