Introduction to Operations Research, Volume 1CD-ROM contains: Student version of MPL Modeling System and its solver CPLEX -- MPL tutorial -- Examples from the text modeled in MPL -- Examples from the text modeled in LINGO/LINDO -- Tutorial software -- Excel add-ins: TreePlan, SensIt, RiskSim, and Premium Solver -- Excel spreadsheet formulations and templates. |
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Page 122
... Gauss - Jordan method of elimination , or Gaussian elimination for short . ' The key concept for this method is the use of elementary algebraic operations to reduce the original system of equations to proper form from Gaussian elimination ...
... Gauss - Jordan method of elimination , or Gaussian elimination for short . ' The key concept for this method is the use of elementary algebraic operations to reduce the original system of equations to proper form from Gaussian elimination ...
Page 260
... Gaussian elimination ( as needed ) . In particular , the basic variable for row i must have a coefficient of 1 in that row and a coefficient of 0 in every other row ( in- cluding row 0 ) for the tableau to be in the proper form for ...
... Gaussian elimination ( as needed ) . In particular , the basic variable for row i must have a coefficient of 1 in that row and a coefficient of 0 in every other row ( in- cluding row 0 ) for the tableau to be in the proper form for ...
Page 288
... Gaussian elimination . 6.3-7 . * Reconsider the model of Prob . 6.1-4b . ( a ) Construct its dual problem . ( b ) Solve this dual problem graphically . ( c ) Use the result from part ( b ) to identify the nonbasic variables and basic ...
... Gaussian elimination . 6.3-7 . * Reconsider the model of Prob . 6.1-4b . ( a ) Construct its dual problem . ( b ) Solve this dual problem graphically . ( c ) Use the result from part ( b ) to identify the nonbasic variables and basic ...
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Introduction to Operations Research Frederick S. Hillier,Gerald J. Lieberman No preview available - 2001 |
Common terms and phrases
activity algebraic algorithm allowable range artificial variables b₂ basic solution c₁ c₂ changes coefficients column Consider the following corresponding cost Courseware CPF solution CPLEX decision variables dual problem dynamic programming entering basic variable estimates example feasible region feasible solutions final simplex tableau final tableau flow following problem formulation functional constraints Gaussian elimination given graphical identify increase initial BF solution integer interior-point iteration leaving basic variable linear programming model linear programming problem LINGO LP relaxation lution Maximize subject Maximize Z maximum flow problem Minimize needed node nonbasic variables nonnegativity constraints objective function obtained optimal solution optimality test parameters path plant presented in Sec primal problem Prob procedure range to stay right-hand sides sensitivity analysis shadow prices simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion values weeks Wyndor Glass x₁ zero