Economic Order Quantity with quantity-dependant order price (Operations Research)












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In an EOQ inventory model, how can you minimize inventory cost given a Holding Cost (H) and an Ordering Cost (S) that depend solely on the order quantity? For example, if the ordering cost of a product is 30% of the product price, how can I calculate the order quantity that minimizes the total inventory cost?



The total inventory cost is given by this formula:
enter image description here



The problem arises because, given that S (Ordering Cost) is dependent on quantity Q, the variables cancels themselves and I cant find a way to choose Q to minimize the total cost.






nonlinear-optimization operations-research







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    $begingroup$
    I could type it all out, but everything you asked and more is in this chapter: ime.unicamp.br/~andreani/MS515/capitulo12.pdf
    $endgroup$
    – MathIsLife12
    Jan 5 at 2:32
















0












$begingroup$


In an EOQ inventory model, how can you minimize inventory cost given a Holding Cost (H) and an Ordering Cost (S) that depend solely on the order quantity? For example, if the ordering cost of a product is 30% of the product price, how can I calculate the order quantity that minimizes the total inventory cost?



The total inventory cost is given by this formula:
enter image description here



The problem arises because, given that S (Ordering Cost) is dependent on quantity Q, the variables cancels themselves and I cant find a way to choose Q to minimize the total cost.






nonlinear-optimization operations-research







share|cite|improve this question









$endgroup$








  • 2




    $begingroup$
    I could type it all out, but everything you asked and more is in this chapter: ime.unicamp.br/~andreani/MS515/capitulo12.pdf
    $endgroup$
    – MathIsLife12
    Jan 5 at 2:32














0












0








0





$begingroup$


In an EOQ inventory model, how can you minimize inventory cost given a Holding Cost (H) and an Ordering Cost (S) that depend solely on the order quantity? For example, if the ordering cost of a product is 30% of the product price, how can I calculate the order quantity that minimizes the total inventory cost?



The total inventory cost is given by this formula:
enter image description here



The problem arises because, given that S (Ordering Cost) is dependent on quantity Q, the variables cancels themselves and I cant find a way to choose Q to minimize the total cost.






nonlinear-optimization operations-research







share|cite|improve this question









$endgroup$




In an EOQ inventory model, how can you minimize inventory cost given a Holding Cost (H) and an Ordering Cost (S) that depend solely on the order quantity? For example, if the ordering cost of a product is 30% of the product price, how can I calculate the order quantity that minimizes the total inventory cost?



The total inventory cost is given by this formula:
enter image description here



The problem arises because, given that S (Ordering Cost) is dependent on quantity Q, the variables cancels themselves and I cant find a way to choose Q to minimize the total cost.






nonlinear-optimization operations-research




nonlinear-optimization operations-research






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 5 at 2:28









user35032user35032

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  • 2




    $begingroup$
    I could type it all out, but everything you asked and more is in this chapter: ime.unicamp.br/~andreani/MS515/capitulo12.pdf
    $endgroup$
    – MathIsLife12
    Jan 5 at 2:32














  • 2




    $begingroup$
    I could type it all out, but everything you asked and more is in this chapter: ime.unicamp.br/~andreani/MS515/capitulo12.pdf
    $endgroup$
    – MathIsLife12
    Jan 5 at 2:32








2




2




$begingroup$
I could type it all out, but everything you asked and more is in this chapter: ime.unicamp.br/~andreani/MS515/capitulo12.pdf
$endgroup$
– MathIsLife12
Jan 5 at 2:32




$begingroup$
I could type it all out, but everything you asked and more is in this chapter: ime.unicamp.br/~andreani/MS515/capitulo12.pdf
$endgroup$
– MathIsLife12
Jan 5 at 2:32










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