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==History==
DVR has become more and more important due to industrial processes that are becoming more and more complex. DVR started in the early 1960s with applications aiming at closing [[mass balance|material balances]] in production processes where raw measurements were available for all [[variable (mathematics)|variables]].<ref>D.R. Kuehn, H. Davidson, ''Computer Control II. Mathematics of Control'', Chem. Eng. Process 57: 44–47, 1961.</ref> At the same time the problem of [[systematic error|gross error]] identification and elimination has been presented.<ref>V. Vaclavek, ''Studies on System Engineering I. On the Application of the Calculus of the Observations of Calculations of Chemical Engineering Balances'', Coll. Czech Chem. Commun 34: 3653, 1968.</ref> In the late 1960s and 1970s unmeasured variables were taken into account in the data reconciliation process.<ref>V. Vaclavek, M. Loucka, ''Selection of Measurements Necessary to Achieve Multicomponent Mass Balances in Chemical Plant'', Chem. Eng. Sci. 31: 1199–1205, 1976.</ref>,<ref>[http://gregstanleyandassociates.com/ReconciliationRectificationProcessData-1976.pdf R.S.H. Mah, G.M. Stanley, D.W. Downing, ''Reconciliation and Rectification of Process Flow and Inventory Data'', Ind. & Eng. Chem. Proc. Des. Dev. 15: 175–183, 1976.]</ref> During the 1980s the area of DVR became more mature by considering general nonlinear equation systems coming from thermodynamic models.<ref>J.C. Knepper, J.W. Gorman, ''Statistical Analysis of Constrained Data Sets'', AiChE Journal 26: 260–164, 1961.</ref>,<ref>P. Joris, B. Kalitventzeff, ''Process measurements analysis and validation'', Proc. CEF’87: Use Comput. Chem. Eng., Italy, 41–46, 1987.</ref>
==Data reconciliation==
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