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 124
Table 4.3 compares the initial system of equations for the Wyndor Glass Co.
problem in algebraic form ( on the left ) and in tabular form ( on the right ) , where
the table on the right is called a simplex tableau . The basic variable for each ...
Table 4.3 compares the initial system of equations for the Wyndor Glass Co.
problem in algebraic form ( on the left ) and in tabular form ( on the right ) , where
the table on the right is called a simplex tableau . The basic variable for each ...
Page 127
Frederick S. Hillier, Gerald J. Lieberman. TABLE 4.6 First two simplex tableaux
for the Wyndor Glass Co. problem Coefficient of : Basic Variable Right Side
Iteration Eq . N X1 X2 X3 X4 X5 Z 0 X3 X4 X5 ( 0 ) ( 1 ) ( 2 ) ( 3 ) 1 0 0 0 -3 1 0 3 -5
0 2 2 ...
Frederick S. Hillier, Gerald J. Lieberman. TABLE 4.6 First two simplex tableaux
for the Wyndor Glass Co. problem Coefficient of : Basic Variable Right Side
Iteration Eq . N X1 X2 X3 X4 X5 Z 0 X3 X4 X5 ( 0 ) ( 1 ) ( 2 ) ( 3 ) 1 0 0 0 -3 1 0 3 -5
0 2 2 ...
Page 157
X2 10 8 Z = 45 = 7.5x1 + 5x2 ( or Z = 18 = 3x1 + 2x2 ) Z = 36 = 3x1 + 5x2 ( 2,6 )
optimal Z = 30 = 0xı + 5x2 FIGURE 4.9 This graph demonstrates the sensitivity
analysis of , and ( 2 for the Wyndor Glass Co. problem . Starting with the original ...
X2 10 8 Z = 45 = 7.5x1 + 5x2 ( or Z = 18 = 3x1 + 2x2 ) Z = 36 = 3x1 + 5x2 ( 2,6 )
optimal Z = 30 = 0xı + 5x2 FIGURE 4.9 This graph demonstrates the sensitivity
analysis of , and ( 2 for the Wyndor Glass Co. problem . Starting with the original ...
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activity additional algorithm allocation allowable amount apply assignment basic solution basic variable BF solution bound boundary called changes coefficients column complete Consider constraint Construct corresponding cost CPF solution decision variables demand described determine distribution dual problem entering equal equations estimates example feasible feasible region feasible solutions FIGURE final flow formulation functional constraints given gives goal identify illustrate increase indicates initial iteration linear programming Maximize million Minimize month needed node nonbasic variables objective function obtained operations optimal optimal solution original parameters path plant possible presented primal problem Prob procedure profit programming problem provides range remaining resource respective resulting revised shown shows side simplex method simplex tableau slack solve step supply Table tableau tion unit values weeks Wyndor Glass 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 |