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
As indicated next, we call x2 the entering basic variable for iteration 1. At any
iteration of the simplex method, the purpose of step 1 is to choose one nonbasic
variable to increase from zero (while the values of the basic variables are
adjusted ...
As indicated next, we call x2 the entering basic variable for iteration 1. At any
iteration of the simplex method, the purpose of step 1 is to choose one nonbasic
variable to increase from zero (while the values of the basic variables are
adjusted ...
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 377
Increasing the entering basic variable from zero sets off a chain reaction of
compensating changes in other basic variables (allocations), in order to continue
satisfying the supply and demand constraints. The first basic variable to be
decreased ...
Increasing the entering basic variable from zero sets off a chain reaction of
compensating changes in other basic variables (allocations), in order to continue
satisfying the supply and demand constraints. The first basic variable to be
decreased ...
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Common terms and phrases
activity additional algorithm amount analysis apply approach assignment assumed basic variable begin BF solution calculate called changes column complete Consider constraints Construct corresponding cost CPF solution customers decision demand described determine developed distribution entering equations estimated example expected feasible FIGURE first flow formulation given gives hour identify illustrate increase indicates initial inventory involves iteration linear programming machine Maximize mean million Minimize month needed node objective function obtained operations optimal optimal solution original parameter path 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 |