MILP: a model for biorefineries (question 3: g and g', grids other than g)

another question I cannot overcome concerns two sets of identifiers; g and g’

I have a set g, a bunch of identical squared grids next to eachother. And I need to include another set of g, wich I call g’, which are other than g. so that biomass can be transported from g to g’, e.g. to calculate transport costs. the example is:

elements g are 1 2 3 with specific quanities transported to the other grids. I therefore need to make another set g’ which is not identical to g, as to enable transport from e.g. grid 5 to its surroundings, to grid 1, or 2, or 3,

4 5 6 4,6,7,8 or 9. how do I put that down in GAMS? maybe as: sets g / 1*9 /

7 8 9 g’ / ?? /

the actual formula is: TCb(t) =e= ∑(i,l) UTCb(l) * [ ∑ (g,g’) Qb(i,g,l,g’,t) * a * b ]

where a and b are parameters

where Qb(i,g,l,g’,t) is the flow rate of biomass i which needs to be transported with transport mode l between elements g and g’ in time t


another thing related to this which I don’t know how to annotate in GAMS conserns the sets to be summed, under the ∑ sign. the first is (i,l), which is not ∑(i)∑(l), but ∑(i,l). and the second is ∑(g,g’) instead of ∑(g)∑(g’)


anyone got an idea? lots of thanks guys!!


kind regards from ben


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Hello Benjamin,

There are lots of questions of this kind posted and answered several times. I advise you to look for ‘alias’, in the manual or in the group.


Greets,


On Wed, Jan 16, 2013 at 4:13 PM, benjamin visser wrote:

another question I cannot overcome concerns two sets of identifiers; g and g’

I have a set g, a bunch of identical squared grids next to eachother. And I need to include another set of g, wich I call g’, which are other than g. so that biomass can be transported from g to g’, e.g. to calculate transport costs. the example is:

elements g are 1 2 3 with specific quanities transported to the other grids. I therefore need to make another set g’ which is not identical to g, as to enable transport from e.g. grid 5 to its surroundings, to grid 1, or 2, or 3,

4 5 6 4,6,7,8 or 9. how do I put that down in GAMS? maybe as: sets g / 1*9 /

7 8 9 g’ / ?? /

the actual formula is: TCb(t) =e= ∑(i,l) UTCb(l) * [ ∑ (g,g’) Qb(i,g,l,g’,t) * a * b ]

where a and b are parameters

where Qb(i,g,l,g’,t) is the flow rate of biomass i which needs to be transported with transport mode l between elements g and g’ in time t


another thing related to this which I don’t know how to annotate in GAMS conserns the sets to be summed, under the ∑ sign. the first is (i,l), which is not ∑(i)∑(l), but ∑(i,l). and the second is ∑(g,g’) instead of ∑(g)∑(g’)


anyone got an idea? lots of thanks guys!!


kind regards from ben


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thanks muha!

greetings de ben


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