Leontief production function?

Dear all

can you please tell me how can I present a leontief function on GAMS code
more precisely I need to aggregate land production factor and water production factor on land-water factor

The best


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Reply-to: gamsworld@googlegroups.com


Dear Frank Ward:

My name is Loan, a PhD student. I am working on GAMS, and writing the Leontief function. Would you mind advising me if I should write the function in the first or second way. There has currently an error (ERROR 409) in the second way. Could you please help me to correct this error.

The first way:

PRO_Q7_VNM… Q(‘VNM’,‘G7’) =L= MIN(ALPHA_BIO(‘VNM’,‘LAD’,‘G7’)*LD(‘VNM’,‘G7’),ALPHA_BIO(‘VNM’,‘LAB’,‘G7’)*LB(‘VNM’,‘G7’),
ALPHA_BIO(‘VNM’,‘G4’,‘G7’)*QQINT(‘VNM’,‘G4’,‘G7’),ALPHA_BIO(‘VNM’,‘G5’,‘G7’)*QQINT(‘VNM’,‘G5’,‘G7’),
ALPHA_BIO(‘VNM’,‘G7’,‘G7’)*QQINT(‘VNM’,‘G7’,‘G7’));

The second way:
PRO_Q7_VNM… Q(‘VNM’,‘G7’) =L= ALPHA_BIO(‘VNM’,‘LAD’,‘G7’)*LD(‘VNM’,‘G7’)
and Q(‘VNM’,‘G7’) =L= ALPHA_BIO(‘VNM’,‘LAB’,‘G7’)*LB(‘VNM’,‘G7’)
and Q(‘VNM’,‘G7’) =L= ALPHA_BIO(‘VNM’,‘G4’,‘G7’)*QQINT(‘VNM’,‘G4’,‘G7’)
and Q(‘VNM’,‘G7’) =L= ALPHA_BIO(‘VNM’,‘G5’,‘G7’)*QQINT(‘VNM’,‘G5’,‘G7’)
and Q(‘VNM’,‘G7’) =L= ALPHA_BIO(‘VNM’,‘G7’,‘G7’)*QQINT(‘VNM’,‘G7’,‘G7’));
Thank you so much and I am looking forward to receiving your help

Best regards, Loan

On Thursday, November 3, 2011 4:34:27 PM UTC+1, Frank Ward wrote:

Dear GAMSWORLD,



We’ve had luck by simply writing an equation block in which the demand for any input (e.g., land, water, capital) is proportional to the sector’s output. Writing the equation for each input amounts to specifying a Leontief production function.



You might also be able to use the MIN function to specify the Leontief production function directly, then use dnlp to solve your model.



Good luck,



Frank Ward



From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of Abdeladhim Med.Arbi
Sent: Thursday, November 03, 2011 3:56 AM
To: gams...@googlegroups.com
Subject: Leontief production function?




Dear all



can you please tell me how can I present a leontief function on GAMS code
more precisely I need to aggregate land production factor and water production factor on land-water factor



The best


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