Division Objective function in Pyscipopt





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I am trying to maximize the division of two quantities in PySCIPOpt.
Since it is a division of two linear metrics, it becomes a nonlinear optimization.



My code is somewhat like this:



model = Model()
x={}
for i in range(0,len(data)):
x[i] = model.addVar(vtype = 'B',name = 'x(%s)'%i)

data['Index'] = range(0,len(data))
profit = 0
volume = 0
for index in data['Index']:
profit += x[index] * data['Predicted.Profit'][index]
volume += x[index] * data['Predicted.Liters.Sold'][index]


model.setObjective(profit/volume,"maximize")


As soon as I hit the setObjective command, my kernel gets busy for more than 20 minutes and just keeps working. I want to know is there something wrong with my definition of Objective function? Could I be doing something else? Something more efficient?



By the way, my dataset's shape is 178848x36



edit



The function ran after twenty minutes! But gave an error saying : AssertionError: given coefficients are neither Expr or number but ProdExpr



How do i Bypass this error? Since I wish to optimize the division of decisionVariables! As well as make this objective function declaration more efficient?



Edit2



Is there a way to cast ProdExpr as Expr??










share|improve this question

























  • @mattmitten any insights??

    – linearprogrammer
    Nov 25 '18 at 8:20











  • In general, SCIP does not work with nonlinear objective functions. They are converted into a constraint and a new auxiliary variable works as objective. See here: github.com/SCIP-Interfaces/PySCIPOpt/issues/167

    – mattmilten
    Nov 25 '18 at 13:41











  • Please don't forget to accept my answer if it is sufficient.

    – mattmilten
    Nov 26 '18 at 11:06


















0















I am trying to maximize the division of two quantities in PySCIPOpt.
Since it is a division of two linear metrics, it becomes a nonlinear optimization.



My code is somewhat like this:



model = Model()
x={}
for i in range(0,len(data)):
x[i] = model.addVar(vtype = 'B',name = 'x(%s)'%i)

data['Index'] = range(0,len(data))
profit = 0
volume = 0
for index in data['Index']:
profit += x[index] * data['Predicted.Profit'][index]
volume += x[index] * data['Predicted.Liters.Sold'][index]


model.setObjective(profit/volume,"maximize")


As soon as I hit the setObjective command, my kernel gets busy for more than 20 minutes and just keeps working. I want to know is there something wrong with my definition of Objective function? Could I be doing something else? Something more efficient?



By the way, my dataset's shape is 178848x36



edit



The function ran after twenty minutes! But gave an error saying : AssertionError: given coefficients are neither Expr or number but ProdExpr



How do i Bypass this error? Since I wish to optimize the division of decisionVariables! As well as make this objective function declaration more efficient?



Edit2



Is there a way to cast ProdExpr as Expr??










share|improve this question

























  • @mattmitten any insights??

    – linearprogrammer
    Nov 25 '18 at 8:20











  • In general, SCIP does not work with nonlinear objective functions. They are converted into a constraint and a new auxiliary variable works as objective. See here: github.com/SCIP-Interfaces/PySCIPOpt/issues/167

    – mattmilten
    Nov 25 '18 at 13:41











  • Please don't forget to accept my answer if it is sufficient.

    – mattmilten
    Nov 26 '18 at 11:06














0












0








0








I am trying to maximize the division of two quantities in PySCIPOpt.
Since it is a division of two linear metrics, it becomes a nonlinear optimization.



My code is somewhat like this:



model = Model()
x={}
for i in range(0,len(data)):
x[i] = model.addVar(vtype = 'B',name = 'x(%s)'%i)

data['Index'] = range(0,len(data))
profit = 0
volume = 0
for index in data['Index']:
profit += x[index] * data['Predicted.Profit'][index]
volume += x[index] * data['Predicted.Liters.Sold'][index]


model.setObjective(profit/volume,"maximize")


As soon as I hit the setObjective command, my kernel gets busy for more than 20 minutes and just keeps working. I want to know is there something wrong with my definition of Objective function? Could I be doing something else? Something more efficient?



By the way, my dataset's shape is 178848x36



edit



The function ran after twenty minutes! But gave an error saying : AssertionError: given coefficients are neither Expr or number but ProdExpr



How do i Bypass this error? Since I wish to optimize the division of decisionVariables! As well as make this objective function declaration more efficient?



Edit2



Is there a way to cast ProdExpr as Expr??










share|improve this question
















I am trying to maximize the division of two quantities in PySCIPOpt.
Since it is a division of two linear metrics, it becomes a nonlinear optimization.



My code is somewhat like this:



model = Model()
x={}
for i in range(0,len(data)):
x[i] = model.addVar(vtype = 'B',name = 'x(%s)'%i)

data['Index'] = range(0,len(data))
profit = 0
volume = 0
for index in data['Index']:
profit += x[index] * data['Predicted.Profit'][index]
volume += x[index] * data['Predicted.Liters.Sold'][index]


model.setObjective(profit/volume,"maximize")


As soon as I hit the setObjective command, my kernel gets busy for more than 20 minutes and just keeps working. I want to know is there something wrong with my definition of Objective function? Could I be doing something else? Something more efficient?



By the way, my dataset's shape is 178848x36



edit



The function ran after twenty minutes! But gave an error saying : AssertionError: given coefficients are neither Expr or number but ProdExpr



How do i Bypass this error? Since I wish to optimize the division of decisionVariables! As well as make this objective function declaration more efficient?



Edit2



Is there a way to cast ProdExpr as Expr??







python division nonlinear-optimization scip






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edited Nov 24 '18 at 12:54







linearprogrammer

















asked Nov 24 '18 at 12:12









linearprogrammerlinearprogrammer

156




156













  • @mattmitten any insights??

    – linearprogrammer
    Nov 25 '18 at 8:20











  • In general, SCIP does not work with nonlinear objective functions. They are converted into a constraint and a new auxiliary variable works as objective. See here: github.com/SCIP-Interfaces/PySCIPOpt/issues/167

    – mattmilten
    Nov 25 '18 at 13:41











  • Please don't forget to accept my answer if it is sufficient.

    – mattmilten
    Nov 26 '18 at 11:06



















  • @mattmitten any insights??

    – linearprogrammer
    Nov 25 '18 at 8:20











  • In general, SCIP does not work with nonlinear objective functions. They are converted into a constraint and a new auxiliary variable works as objective. See here: github.com/SCIP-Interfaces/PySCIPOpt/issues/167

    – mattmilten
    Nov 25 '18 at 13:41











  • Please don't forget to accept my answer if it is sufficient.

    – mattmilten
    Nov 26 '18 at 11:06

















@mattmitten any insights??

– linearprogrammer
Nov 25 '18 at 8:20





@mattmitten any insights??

– linearprogrammer
Nov 25 '18 at 8:20













In general, SCIP does not work with nonlinear objective functions. They are converted into a constraint and a new auxiliary variable works as objective. See here: github.com/SCIP-Interfaces/PySCIPOpt/issues/167

– mattmilten
Nov 25 '18 at 13:41





In general, SCIP does not work with nonlinear objective functions. They are converted into a constraint and a new auxiliary variable works as objective. See here: github.com/SCIP-Interfaces/PySCIPOpt/issues/167

– mattmilten
Nov 25 '18 at 13:41













Please don't forget to accept my answer if it is sufficient.

– mattmilten
Nov 26 '18 at 11:06





Please don't forget to accept my answer if it is sufficient.

– mattmilten
Nov 26 '18 at 11:06












1 Answer
1






active

oldest

votes


















0














In general, SCIP does not work with nonlinear objective functions. They are converted into a constraint and a new auxiliary variable works as objective. For PySCIPOpt, you need to do that step manually so avoid the creation of new variables and constraints behind the user's back. See here: github.com/SCIP-Interfaces/PySCIPOpt/issues/167






share|improve this answer
























  • While introduce these steps to my code, I have one more question for you. In your experience, Can SCIP converge into a solution for a nonlinear problem with 200k integer decision variables?

    – linearprogrammer
    Nov 26 '18 at 10:49











  • Impossible to say. You have to give it a try. If it doesn't terminate but produces good enough solutions, you might want to set a gap limit.

    – mattmilten
    Nov 26 '18 at 11:05











  • By gap limit, do you mean the number of iterations?

    – linearprogrammer
    Nov 26 '18 at 11:25











  • No, I mean the gap limit as defined here: scip.zib.de/doc/html/FAQ.php#gapdefinition . Can be set with setParam('limits/gap', <value>).

    – mattmilten
    Nov 26 '18 at 11:31














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1 Answer
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active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









0














In general, SCIP does not work with nonlinear objective functions. They are converted into a constraint and a new auxiliary variable works as objective. For PySCIPOpt, you need to do that step manually so avoid the creation of new variables and constraints behind the user's back. See here: github.com/SCIP-Interfaces/PySCIPOpt/issues/167






share|improve this answer
























  • While introduce these steps to my code, I have one more question for you. In your experience, Can SCIP converge into a solution for a nonlinear problem with 200k integer decision variables?

    – linearprogrammer
    Nov 26 '18 at 10:49











  • Impossible to say. You have to give it a try. If it doesn't terminate but produces good enough solutions, you might want to set a gap limit.

    – mattmilten
    Nov 26 '18 at 11:05











  • By gap limit, do you mean the number of iterations?

    – linearprogrammer
    Nov 26 '18 at 11:25











  • No, I mean the gap limit as defined here: scip.zib.de/doc/html/FAQ.php#gapdefinition . Can be set with setParam('limits/gap', <value>).

    – mattmilten
    Nov 26 '18 at 11:31


















0














In general, SCIP does not work with nonlinear objective functions. They are converted into a constraint and a new auxiliary variable works as objective. For PySCIPOpt, you need to do that step manually so avoid the creation of new variables and constraints behind the user's back. See here: github.com/SCIP-Interfaces/PySCIPOpt/issues/167






share|improve this answer
























  • While introduce these steps to my code, I have one more question for you. In your experience, Can SCIP converge into a solution for a nonlinear problem with 200k integer decision variables?

    – linearprogrammer
    Nov 26 '18 at 10:49











  • Impossible to say. You have to give it a try. If it doesn't terminate but produces good enough solutions, you might want to set a gap limit.

    – mattmilten
    Nov 26 '18 at 11:05











  • By gap limit, do you mean the number of iterations?

    – linearprogrammer
    Nov 26 '18 at 11:25











  • No, I mean the gap limit as defined here: scip.zib.de/doc/html/FAQ.php#gapdefinition . Can be set with setParam('limits/gap', <value>).

    – mattmilten
    Nov 26 '18 at 11:31
















0












0








0







In general, SCIP does not work with nonlinear objective functions. They are converted into a constraint and a new auxiliary variable works as objective. For PySCIPOpt, you need to do that step manually so avoid the creation of new variables and constraints behind the user's back. See here: github.com/SCIP-Interfaces/PySCIPOpt/issues/167






share|improve this answer













In general, SCIP does not work with nonlinear objective functions. They are converted into a constraint and a new auxiliary variable works as objective. For PySCIPOpt, you need to do that step manually so avoid the creation of new variables and constraints behind the user's back. See here: github.com/SCIP-Interfaces/PySCIPOpt/issues/167







share|improve this answer












share|improve this answer



share|improve this answer










answered Nov 25 '18 at 13:44









mattmiltenmattmilten

2,33212043




2,33212043













  • While introduce these steps to my code, I have one more question for you. In your experience, Can SCIP converge into a solution for a nonlinear problem with 200k integer decision variables?

    – linearprogrammer
    Nov 26 '18 at 10:49











  • Impossible to say. You have to give it a try. If it doesn't terminate but produces good enough solutions, you might want to set a gap limit.

    – mattmilten
    Nov 26 '18 at 11:05











  • By gap limit, do you mean the number of iterations?

    – linearprogrammer
    Nov 26 '18 at 11:25











  • No, I mean the gap limit as defined here: scip.zib.de/doc/html/FAQ.php#gapdefinition . Can be set with setParam('limits/gap', <value>).

    – mattmilten
    Nov 26 '18 at 11:31





















  • While introduce these steps to my code, I have one more question for you. In your experience, Can SCIP converge into a solution for a nonlinear problem with 200k integer decision variables?

    – linearprogrammer
    Nov 26 '18 at 10:49











  • Impossible to say. You have to give it a try. If it doesn't terminate but produces good enough solutions, you might want to set a gap limit.

    – mattmilten
    Nov 26 '18 at 11:05











  • By gap limit, do you mean the number of iterations?

    – linearprogrammer
    Nov 26 '18 at 11:25











  • No, I mean the gap limit as defined here: scip.zib.de/doc/html/FAQ.php#gapdefinition . Can be set with setParam('limits/gap', <value>).

    – mattmilten
    Nov 26 '18 at 11:31



















While introduce these steps to my code, I have one more question for you. In your experience, Can SCIP converge into a solution for a nonlinear problem with 200k integer decision variables?

– linearprogrammer
Nov 26 '18 at 10:49





While introduce these steps to my code, I have one more question for you. In your experience, Can SCIP converge into a solution for a nonlinear problem with 200k integer decision variables?

– linearprogrammer
Nov 26 '18 at 10:49













Impossible to say. You have to give it a try. If it doesn't terminate but produces good enough solutions, you might want to set a gap limit.

– mattmilten
Nov 26 '18 at 11:05





Impossible to say. You have to give it a try. If it doesn't terminate but produces good enough solutions, you might want to set a gap limit.

– mattmilten
Nov 26 '18 at 11:05













By gap limit, do you mean the number of iterations?

– linearprogrammer
Nov 26 '18 at 11:25





By gap limit, do you mean the number of iterations?

– linearprogrammer
Nov 26 '18 at 11:25













No, I mean the gap limit as defined here: scip.zib.de/doc/html/FAQ.php#gapdefinition . Can be set with setParam('limits/gap', <value>).

– mattmilten
Nov 26 '18 at 11:31







No, I mean the gap limit as defined here: scip.zib.de/doc/html/FAQ.php#gapdefinition . Can be set with setParam('limits/gap', <value>).

– mattmilten
Nov 26 '18 at 11:31






















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