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 191
x1 = 0 ( 0,9 ) Maximize Z = 3x1 + 5x2 , subject to X1 < 4 2x2 = 12 2xy + 3x2 = 18 and x1 = 0 , X2 20 3x1 + 2x2 = 18 ( 2,6 ) ( 4,6 ) ( 0,6 ) 2x2 = 12 = x1 = 4 Feasible region ( 4,3 ) FIGURE 5.1 Constraint boundaries , constraint boundary ...
x1 = 0 ( 0,9 ) Maximize Z = 3x1 + 5x2 , subject to X1 < 4 2x2 = 12 2xy + 3x2 = 18 and x1 = 0 , X2 20 3x1 + 2x2 = 18 ( 2,6 ) ( 4,6 ) ( 0,6 ) 2x2 = 12 = x1 = 4 Feasible region ( 4,3 ) FIGURE 5.1 Constraint boundaries , constraint boundary ...
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 ...
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 ...
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 ...
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 ...
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Introduction to Operations Research Frederick S. Hillier,Gerald J. Lieberman No preview available - 2001 |
Common terms and phrases
activity additional algorithm allowable amount apply assignment basic solution basic variable BF solution bound boundary called changes coefficients column complete Consider constraints Construct corresponding cost CPF solution decision variables demand described determine direction distribution dual problem entering equal equations estimates example feasible feasible region 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 shown shows side simplex method simplex tableau slack solve step supply Table tableau tion unit weeks Wyndor Glass 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 |