Binary variables problem

GAMS
1

Hi GAMS world,
I have a problem here. There are binary variables x(j), among which only two variables equal to 1, and others are 0, for example x(‘1’) to x(‘7’) they equal to 0, 0, 1, 0, 0, 1, 0, respectively. The variables equal to 1 can be located in on the rightmost or leftmost or adjacently.
Is it possible to use linear equations to make variables y(j), among which variables equal to 1 when the number of their index are between or equal to those variable x(j) equal to 1. For example y(‘1’) to y('7) they equal to 0, 0, 1, 1, 1, 1, 0, respectively when x(‘1’) to x(‘7’) they equal to 0, 0, 1, 0, 0, 1, 0, respectively.
Thank you,
Dylan

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2

I’ve found the solution, thanks.

在 2013年9月2日星期一UTC+8下午8时00分10秒，Dylan Lan写道：

Hi GAMS world,
I have a problem here. There are binary variables x(j), among which only two variables equal to 1, and others are 0, for example x(‘1’) to x(‘7’) they equal to 0, 0, 1, 0, 0, 1, 0, respectively. The variables equal to 1 can be located in on the rightmost or leftmost or adjacently.
Is it possible to use linear equations to make variables y(j), among which variables equal to 1 when the number of their index are between or equal to those variable x(j) equal to 1. For example y(‘1’) to y('7) they equal to 0, 0, 1, 1, 1, 1, 0, respectively when x(‘1’) to x(‘7’) they equal to 0, 0, 1, 0, 0, 1, 0, respectively.
Thank you,
Dylan

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