Introduction to Operations ResearchCD-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 199
... variables + ¡ and x ,, always is a nonbasic variable , but the constraint boundary equation becomes a defining equation only if both of these variables are nonbasic variables . ) TABLE 5.3 Indicating variables for constraint boundary ...
... variables + ¡ and x ,, always is a nonbasic variable , but the constraint boundary equation becomes a defining equation only if both of these variables are nonbasic variables . ) TABLE 5.3 Indicating variables for constraint boundary ...
Page 200
... nonbasic variables are set equal to zero . Similarly , the three corner - point infeasible solutions ( see Table 5.2 ) yield the three basic infeasible solutions shown in Table 5.6 . The other two sets of nonbasic variables , ( 1 ) x ...
... nonbasic variables are set equal to zero . Similarly , the three corner - point infeasible solutions ( see Table 5.2 ) yield the three basic infeasible solutions shown in Table 5.6 . The other two sets of nonbasic variables , ( 1 ) x ...
Page 288
... nonbasic variables and basic variables for the optimal BF solution for the dual problem . ( c ) Identify this ... variables . ) 6.4-3 . * Construct the dual problem for the linear programming problem given in Prob . 4.6-4 . 6.4-4 ...
... nonbasic variables and basic variables for the optimal BF solution for the dual problem . ( c ) Identify this ... variables . ) 6.4-3 . * Construct the dual problem for the linear programming problem given in Prob . 4.6-4 . 6.4-4 ...
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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 cost Courseware CPLEX decision variables described 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 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 resource right-hand sides sensitivity analysis shadow prices shown simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion unit profit values weeks Wyndor Glass x₁ zero
Bibliographic information
| Title | Introduction to Operations Research McGraw-Hill International Editions 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 | Pennsylvania State University |
| Digitized | 26 Aug 2009 |
| ISBN | 0071181636, 9780071181631 |
| Length | 1214 pages |
| Export Citation | BiBTeX EndNote RefMan |