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 146
... Gaussian elimination ( by algebraically eliminating the basic variables x and x2 from row 0 ) . Thus , row 0 in the last tableau is obtained by performing the following elementary row operations in the next - to - last tableau : from ...
... Gaussian elimination ( by algebraically eliminating the basic variables x and x2 from row 0 ) . Thus , row 0 in the last tableau is obtained by performing the following elementary row operations in the next - to - last tableau : from ...
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 ...
Other editions - View all
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 cost CPF solution CPLEX decision variables described dual problem dynamic programming entering basic variable example feasible region feasible solutions final simplex tableau final tableau following problem formulation functional constraints Gaussian elimination given goal goal programming graphical identify increase initial BF solution integer interior-point iteration leaving basic variable linear programming model linear programming problem LINGO LP relaxation lution 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 shown simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion values weeks Wyndor Glass x₁ zero
Bibliographic information
| Title | Introduction to Operations Research, Volume 1 Introduction to Operations Research, Frederick S. Hillier McGraw-Hill industrial & plant engineering series McGraw-Hill series in industrial engineering and management science |
| Authors | Frederick S. Hillier, Gerald J. Lieberman |
| Edition | 7, illustrated |
| Publisher | McGraw-Hill, 2001 |
| Original from | the University of Michigan |
| Digitized | 8 Aug 2011 |
| ISBN | 0072321695, 9780072321692 |
| Length | 1214 pages |
| Export Citation | BiBTeX EndNote RefMan |