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|Title:||Parametric optimization with uncertainty on the left hand side of linear programs|
|Citation:||Khalilpour, R., Karimi, I.A. (2014). Parametric optimization with uncertainty on the left hand side of linear programs. Computers and Chemical Engineering 60 : 31-40. ScholarBank@NUS Repository. https://doi.org/10.1016/j.compchemeng.2013.08.005|
|Abstract:||Although parametric optimization with uncertainties on the objective function (OF) or on the so-called "right-hand-side" (RHS) of the constraints has been addressed successfully in recent papers, very little work exists on the same with uncertainties on the left-hand-side (LHS) of the constraints or in the coefficients of the constraint matrix. The goal of this work has been to develop a systematic method to solve such parametric optimization problems. This is a very complex problem and we have begun with the simplest of optimization problems, namely the linear programming problem with a single parameter on the LHS. This study reviews the available work on parametric optimization, describes the challenges and issues specific to LHS parametric linear programming (LHS-pLP), and presents a solution algorithm using some classic results from matrix algebra. © 2013 Elsevier Ltd.|
|Source Title:||Computers and Chemical Engineering|
|Appears in Collections:||Staff Publications|
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