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 573
Consider the following integer nonlinear programming problem . Parallel Units Component 1 123 0.5 0.6 2 3 0.6 0.8 0.7 0.7 0.8 0.5 Maximize subject to Z = x1x3x3 , 0.7 0.8 0.9 0.9 * ≥ 1 , X1 + 2x2 + 3x3 ≤ 10 X2 ≥ 1 , X3 ≥ 1 ...
Consider the following integer nonlinear programming problem . Parallel Units Component 1 123 0.5 0.6 2 3 0.6 0.8 0.7 0.7 0.8 0.5 Maximize subject to Z = x1x3x3 , 0.7 0.8 0.9 0.9 * ≥ 1 , X1 + 2x2 + 3x3 ≤ 10 X2 ≥ 1 , X3 ≥ 1 ...
Page 574
Consider the following nonlinear programming problem . z = x + 2x2 Minimize subject to x2 + x2 ≥ 2 . ( There are no nonnegativity constraints . ) Use dynamic program- ming to solve this problem . 11.3-19 .
Consider the following nonlinear programming problem . z = x + 2x2 Minimize subject to x2 + x2 ≥ 2 . ( There are no nonnegativity constraints . ) Use dynamic program- ming to solve this problem . 11.3-19 .
Page 712
( a ) Verify that this problem is a convex programming problem . ... ( e ) Use the fact that this problem is a linear fractional program- ming problem to transform it into an equivalent linear pro- gramming problem .
( a ) Verify that this problem is a convex programming problem . ... ( e ) Use the fact that this problem is a linear fractional program- ming problem to transform it into an equivalent linear pro- gramming problem .
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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 assigned basic solution basic variable BF solution bound boundary called changes coefficients column complete Consider Construct corresponding cost CPF solution decision variables described determine developed dual problem entering 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 linear programming model Maximize million Minimize month needed node objective function obtained operations optimal optimal solution original parameters path perform plant possible presented primal problem Prob procedure profit programming problem provides range resource respective resulting revised sensitivity analysis shown shows side simplex method simplex tableau slack solve step Table tableau tion unit 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 |