| Автор | Koivo, A. J. |
| Автор | Phillips, G. R. |
| Дата выпуска | 1971 |
| dc.description | The numerical values of parameters in the mathematical model describing the dissolved oxygen (DO) and biochemical oxygen demand (BOD) concentrations (e.g., the reaeratio.n coefficient and the BOD removal coefficient) are determined in a systematic manner so that a best fit to the noise corrupted DO data is obtained asymptotically. The goodness of the estimates is evaluated by the squared difference between measured DO concentrations and concentrations calculated from the mathematical model. A stochastic approximation algorithm of the Robbins‐Monro type is applied for computing the parameter values in a sequential manner. The algorithm converges in the mean square sense to the parameter value that furnishes a local minimum for the average of the error criterion. The procedure is illustrated by several numerical examples. Because of the sequential nature of the algorithm, savings in computer time as well as in the required memory capacity are obtained. |
| Формат | application.pdf |
| Копирайт | Copyright 1971 by the American Geophysical Union. |
| Название | Identification of Mathematical Models for DO and BOD Concentrations in Polluted Streams from Noise Corrupted Measurements |
| Тип | article |
| DOI | 10.1029/WR007i004p00853 |
| Electronic ISSN | 1944-7973 |
| Print ISSN | 0043-1397 |
| Журнал | Water Resources Research |
| Том | 7 |
| Первая страница | 853 |
| Последняя страница | 862 |
| Выпуск | 4 |
| Библиографическая ссылка | Blum, J., Approximation methods which converge with probability one, Ann. Math. Statist., 25, 382–386, 1954. |
| Библиографическая ссылка | Carpenter, W. T., M. J.Wozny, R. E.Good‐son, Distributed parameter identification using the method of characteristicsJoint Automatic Control ConferenceAmer. Soc. of Mech. Eng.Atlanta, GeorgiaJune 22–26, 1970. |
| Библиографическая ссылка | Courant, R., andD.Hilbert, Methods of Mathematical Physics,, 2, pp.139–145, 120–122,Interscience,New York,1966. |
| Библиографическая ссылка | Davidson, B., R. W.Bradshaw, Thermal pollution of water systems, Environ. Sci. Technol., 18, 618–630, 1967. |
| Библиографическая ссылка | DiToro, D. M., Stream equation and method of characteristics, J. Sanit. Eng. Div., Amer. Soc. Civil Eng., 95SA4,, 1969. |
| Библиографическая ссылка | O'Connel, R., andNelson A.Thomas, Effect of benthic algae on stream dissolved oxygen,J. Sanit. Eng. Div., Amer. Soc. Civil Eng.,91 (SA3),1–16,June1965. |
| Библиографическая ссылка | O'Connor, D. J., The temporal and spatial distribution of dissolved oxygen in streams, Water Resour. Res., 31, 65–79, 1967. |
| Библиографическая ссылка | O'Connor, D. J., D. M.DiToro, Photosynthesis and oxygen balance in streams, J. Sanit. Eng. Div., Amer. Soc. Civil Eng., 96, 547–571, 1970. |
| Библиографическая ссылка | Tarassov, V. J., J. H.Perlis, B.Davidson, Optimization of a class of river aeration problems by use of multivariable distributed parameter control theoryJoint Conference on Stream Pollution and AbatementAmer. Soc. of Mech. Eng.‐Amer. Inst. of Chem. Eng.New Brunswick, New JerseyJune 10–12, 1969. |
| Библиографическая ссылка | Thomann, R. V., D. J.O'Connor, D. M.DiToro, The management of time variable stream and estuary systems, Chem. Eng. Progr. Symp., Ser., 66, 21–31, 1968. |
| Библиографическая ссылка | Wilde, D. J., Optimum Seeking Methods, 163–167, Prentice‐Hall, New Jersey, 1964. |
| Библиографическая ссылка | Zadeh, L. A., C. A.Desoer, Linear System Theory: The State Space Approach, 628, McGraw‐Hill, New York, 1963. |
