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                             COPYRIGHT NOTICE

This software is copyright by Zbigniew Michalewicz. Permission is
granted to copy and use the software for scientific, noncommercial 
purposes only. The software is provided "as is", i.e., without any
warranties.

                              GENERAL REMARKS

The genetic2 aims at solving the linear transportation problem
(minimization of the transportation cost). It is interesting to compare
the results of the system with results from some linear programming
package. The system was described in an article "A Genetic Algorithm 
for the Linear Transportation Problem}, IEEE Transactions on Systems, 
Man, and Cybernetics, Vol.21, No.2, 1991, pp.445--452.
It is also described in my new book "Genetic Algorithms + Data Structures = 
Evolution Programs" (Springer Verlag, August 1992).

The system was build over 3 years ago. It is the first and last
version (I do not plan to work on the system in the future).
It is quite primitive with almost all variables global. However, the
ease of use is its main advantage.

The current version of genetic2 should run without changes on any BSD-UN*X
system (preferably on a Sun SPARC machine). Note, however, that the 
system was NOT designed with portability in mind, i.e., the partability 
was not the main factor in the design process. 


                        HOW TO RUN THE GENETIC2 SYSTEM

To run the genetic2 system, there are two simple steps to follow:

(1) prepare input file, say, "your_input",
(2) type "genetic2 < your_input > your_output" ("your_output" is the name 
    of the output file provided by you).

A simple example follows. The input file of this example is the
transferred file "input" you have now in your directory, the typical 
output is present in the file "output". 

INPUT FILE  (and the explanations, line by line. Note that the
             explanations are NOT present in the real input file):

____________________________________________________

# Problem number 1             /* comment line   */
nsource 8                      /* number of sources  */
ndest   6                      /* number of destinations */
sources
12   7   6   11   10   4   4   3  /* all source values */
dests
13  11   9    7    3  14          /* all destinations values */
costs
  1   3   8  11   4   4           /* the cost matrix for a given
  4   0  12   1   1   1              linear transportation problem */
  3   3   1   5   7   9
  9   4   1   0   0   5
  8   9  14  11  11  10
 19  12  40   1  39  11
 18   2   5   7   9   9
  4   6   9   1   0   9
optimum 0                       /* if optimum is known, you can place
                                   its value here */
pop    40                       /* population size */
cross   2                       /* number of crossovers per generation */
inver   0                       /* inversion is NOT implemented; keep it
                                   zero all the time */
mutat   8                       /* number of mutations per generation */
sprob   0.9                     /* a coefficient for probability distribution */
it      200                     /* number of generations */
run 250                         /* run id (optional) */
seed    1                       /* seed */

run 251                         /* for additional runs with different seeds: */
seed 9999

run 252
seed 1313

run 253
seed 13333

run 254
seed 33333

end
__________________________________________________________

The output is given in the "output" file; it is self-explanatory.

IMPORTANT REMARKS:
(1) the maximum sizes of the number of sorces, destinations, and the
population size are given in the genet.h file. If you run larger
example, change these maximum values first.
(2) keep the total of crossovers and mutations (cross + mutat) at
approx. 25% of the population size for the best results.
(3) there is a parameter "licz" in the genet.h file; 
licz = 2147483647.0. This represents the largest integer number 
(converted into float) which can be generated by the standard function
rand(). You may have to change this constant in your system.
(4) All input data (except sprob) are integers.

I hope this information would be sufficient to run the system.


Zbigniew Michalewicz

******************************************************************************
* Mail: Department of Computer Science      E-mail: zbyszek@mosaic.uncc.edu  *
*       University of North Carolina        Phone:  (704) 547-4873           *
*       Charlotte, NC 28223                 Fax:    (704) 547-2352           *
******************************************************************************






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