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 191
x = 0 ( 0,9 ) Maximize Z = 3x1 + 5x2 , subject to xi < 4 2x2 5 12 2xy + 3x2 = 18 and
x 20 , X220 3x1 + 2x2 = 18 ( 2,6 ) ( 4,6 ) ( 0,6 ) 2x2 = 12 x1 = 4 Feasible region ( 4,
3 ) FIGURE 5.1 Constraint boundaries , constraint boundary equations , and ...
x = 0 ( 0,9 ) Maximize Z = 3x1 + 5x2 , subject to xi < 4 2x2 5 12 2xy + 3x2 = 18 and
x 20 , X220 3x1 + 2x2 = 18 ( 2,6 ) ( 4,6 ) ( 0,6 ) 2x2 = 12 x1 = 4 Feasible region ( 4,
3 ) FIGURE 5.1 Constraint boundaries , constraint boundary equations , and ...
Page 195
The intersection of this first new constraint boundary with the two constraint
boundaries forming the edge yields the new CPF solution ( 4 , 2 , 4 ) . When n > 3
, these same concepts generalize to higher dimensions , except the constraint ...
The intersection of this first new constraint boundary with the two constraint
boundaries forming the edge yields the new CPF solution ( 4 , 2 , 4 ) . When n > 3
, these same concepts generalize to higher dimensions , except the constraint ...
Page 199
Recall that each corner - point solution is the simultaneous solution of a system of
n constraint boundary equations , which we called its defining equations . The
key question is : How do we tell whether a particular constraint boundary ...
Recall that each corner - point solution is the simultaneous solution of a system of
n constraint boundary equations , which we called its defining equations . The
key question is : How do we tell whether a particular constraint boundary ...
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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 |