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 120
Determining the Direction of Movement (Step 1 of an Iteration) Increasing one
nonbasic variable from zero (while adjusting the values of the basic variables to
continue satisfying the system of equations) corresponds to moving along one
edge ...
Determining the Direction of Movement (Step 1 of an Iteration) Increasing one
nonbasic variable from zero (while adjusting the values of the basic variables to
continue satisfying the system of equations) corresponds to moving along one
edge ...
Page 129
6) in three iterations with xl as the initial entering basic variable, versus two
iterations if x2 is chosen. Now suppose that two or more basic variables tie for
being the leaving basic variable in step 2 of an iteration. Does it matter which one
is ...
6) in three iterations with xl as the initial entering basic variable, versus two
iterations if x2 is chosen. Now suppose that two or more basic variables tie for
being the leaving basic variable in step 2 of an iteration. Does it matter which one
is ...
Page 311
Feasibility test: Check to see whether all the basic variables are nonnegative. If
they are, then this solution is feasible, and therefore optimal, so stop. Otherwise,
go to an iteration. 3. Iteration: Step 1 Determine the leaving basic variable: Select
...
Feasibility test: Check to see whether all the basic variables are nonnegative. If
they are, then this solution is feasible, and therefore optimal, so stop. Otherwise,
go to an iteration. 3. Iteration: Step 1 Determine the leaving basic variable: Select
...
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Common terms and phrases
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 perform 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 |