Integer Programming (IP) models incorporating more general functions, i.e. Linear Programming (LP) models in which all variables must have integral values, i.e. The term encompasses models incorporating only linear functions, i.e. MP entails the theory, use and computational solution of mathematical models to assist in making decisions, typically about the optimal use of scarce resources. This brief essay constitutes an inevitably incomplete overview of the history. (2007), Pulleyblank (2012), the republication of seminal papers and essays in Lenstra et al.
Dantzig (1963, chapter 2), Dantzig and Thapa (1997, Foreword and chapter notes), Cottle et al. The history of Mathematical Programming (MP) has been substantially documented in essays by participants in that history, e.g. A Brief History of Optimization and Mathematical Programming
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