gams:the_sum_of_consecutive_four_elements_in_a_vector_should_be_less_than_10

Q: *Say a vector A has ten values (decision variables) Objective: Maximize the sum of A. How do I model this constraint: The sum of consecutive four elements in the vector should be less than 10.*

You can use the lag and lead operator (chapter 13.4 in the GAMS User's Guide) as in the following example:

set i /1*10/; alias (i,j); set iconseq(i,j); scalar cnt; loop(i, for(cnt=0 to 3, iconseq(i,i+cnt) = yes)); display iconseq; variable x(i); equation e(i); e(i).. sum(iconseq(i,j), x(i)) =l= 10;

If you want your constraint to interpret “consecutive” in a circular manner, you will have to replace `+`

in the `loop`

-statement by `++`

.

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gams/the_sum_of_consecutive_four_elements_in_a_vector_should_be_less_than_10.txt · Last modified: 2008/10/01 12:41 by support