Introduction to Operations Research, Volume 1-- This classic, field-defining text is the market leader in Operations Research -- and it's now updated and expanded to keep professionals a step ahead -- Features 25 new detailed, hands-on case studies added to the end of problem sections -- plus an expanded look at project planning and control with PERT/CPM -- A new, software-packed CD-ROM contains Excel files for examples in related chapters, numerous Excel templates, plus LINDO and LINGO files, along with MPL/CPLEX Software and MPL/CPLEX files, each showing worked-out examples |
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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 > 0 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
...
x1 = 0 ( 0,9 ) Maximize Z = 3x1 + 5x2 , subject to X1 < 4 2x2 = 12 2xy + 3x2 = 18
and x1 = 0 , x2 > 0 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
...
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 alternative amount analysis apply assignment assumed basic variable begin BF solution calculate called changes coefficients column complete Consider constraints Construct corresponding cost CPF solution customers decision demand described determine developed distribution entering equations estimated example expected feasible FIGURE final flow formulation given gives hour identify illustrate increase indicates initial inventory iteration linear programming machine Maximize mean million Minimize month needed node objective function obtained operations optimal optimal solution original parameter path payoff plant player possible presented Prob probability problem procedure profit programming problem queueing respectively resulting shown shows side simplex method solution solve step strategy Table tableau tion transportation unit waiting weeks
Bibliographic information
| Title | Introduction to Operations Research, Volume 1 Introduction to Operations Research, Frederick S. Hillier 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 | 0072416181, 9780072416183 |
| Length | 1214 pages |
| Export Citation | BiBTeX EndNote RefMan |