Inflection based time series

I have a time series data set which is sparsely populated and inflection based. I would like to know the easiest and cleanest way of expanding this in GAMS.

Example:
I have a set called time /1*10/. The input data for a cost(time) parameter is in the following form:

cost(1) = 10
cost(5) = 20
cost(7) = 30

This should be interpreted in the model as:
cost(1) = 10
cost(2) = 10
cost(3) = 10
cost(4) = 10
cost(5) = 20
cost(6) = 20
cost(7) = 30
cost(8) = 30
cost(9) = 30
cost(10) = 30

What is the most effective way of doing this in GAMS? The example above is trivial, however, my input set is significantly larger. I would like to keep the input sparse, but need it expanded for the model.

Thank you!


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Jeff:

This should do the trick if manual delimitation and value assignment is not a problem for you.

parameter cost(time) /(14) 10, (56) 20, (7*10) 30/

I can devise more complex stuff if you want to programatically assign values and their boundaries.

Hope to help!
Claudio

On Fri, Sep 5, 2014 at 11:29 AM, Jeff Baker wrote:

I have a time series data set which is sparsely populated and inflection based. I would like to know the easiest and cleanest way of expanding this in GAMS.

Example:
I have a set called time /1*10/. The input data for a cost(time) parameter is in the following form:

cost(1) = 10
cost(5) = 20
cost(7) = 30

This should be interpreted in the model as:
cost(1) = 10
cost(2) = 10
cost(3) = 10
cost(4) = 10
cost(5) = 20
cost(6) = 20
cost(7) = 30
cost(8) = 30
cost(9) = 30
cost(10) = 30

What is the most effective way of doing this in GAMS? The example above is trivial, however, my input set is significantly larger. I would like to keep the input sparse, but need it expanded for the model.

Thank you!


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