Page 75 -
P. 75

COMPUTER SOLUTION OF THE GULFGOLF PROBLEM  55


                      In January 1952 the first  solved graphically but have to be solved through an appropriate computer package.
                      successful computer  Computer programs designed to solve linear programming problems are now widely
                      solution of a linear
                      programming problem  available. Most companies and universities have access to these. After a short period
                      was performed on the  of familiarization with the specific features of the package, users are able to solve
                      SEAC (Standards Eastern  linear programming problems with few difficulties. Most large linear programmes
                      Automatic Computer).  can be solved with just a few minutes of computer time; small linear programmes
                      The SEAC, the first digital
                      computer built by the  usually require only a few seconds.
                      National Bureau of  More recently, with the virtual explosion of software for personal computers, a
                      Standards under US Air  large number of user-friendly computer programs that can solve linear pro-
                      Force sponsorship, had a  grammes became available. These programs, developed by academicians and small
                      512-word memory and
                      magnetic tape for  software companies, are almost all easy to use. Most of these programs are
                      external storage.  designed to solve smaller linear programmes (a few hundred variables). But, some
                                      can be used to solve problems involving thousands of variables and constraints.
                      In 2005, a survey reviewed
                      around 50 different LP  Linear programming solvers are now part of many spreadsheet packages. In
                      computer programs. OR/  Appendixes 2.1 and 2.2 we show how to solve LP problems with Microsoft Excel
                      MS Today, June 2013,  and with the Management Scientist software package developed by the authors of
                      Linear Programming  this text.
                      Software Survey.

                                      Interpretation of Computer Output
                                      Figure 2.14 shows the Excel Solver spreadsheet for the GulfGolf problem. The top
                                      part of the spreadsheet (Rows 4 to 9) shows the problem information – the coefficients
                                      and values for each constraint and the objective function. The bottom part of the
                                      spreadsheet shows information about the optimal solution.



                                      Figure 2.14 Excel Solution for the GulfGolf Problem









                       EXCEL file
                          GULFGOLF






























                Copyright 2014 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has
                      deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
   70   71   72   73   74   75   76   77   78   79   80