Sunco Gasoline Blending Optimization
Apps.GasBlending History
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* %list list-page% [[https://apmonitor.com/online/view_pass.php?f=sunco.apm | Solve Sunco Gas Blending Optimization]]
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* %list list-page% [[Attach:sunco.apm | Gas Blending]]
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* %list list-page% [[Attach:sunco.apm | Gas Blending]]
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* %list list-page% [[https://apmonitor.com/online/view_pass.php?f=sunco.apm | Solve Sunco Gas Blending Optimization]]
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* %list list-page% [[Attach:sunco.apm | Gas Blending]]
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* %list list-page% [[https://apmonitor.com/online/view_pass.php?f=sunco.apm | Solve Sunco Gas Blending Optimization]]
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* %list list-page% [[Attach:sunco.apm | Gas Blending]]
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(:title Sunco Gasoline Blending Optimization:)
(:keywords nonlinear, APMonitor, algebraic modeling language, optimization:)
(:description Sunco oil has three different processes that can be used to manufacture various types of gasoline. Each process involves blending oils in the company's catalytic cracker.:)
(:keywords nonlinear, APMonitor, algebraic modeling language, optimization:)
(:description Sunco oil has three different processes that can be used to manufacture various types of gasoline. Each process involves blending oils in the company's catalytic cracker.:)
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!!! Problem
Sunco oil has three different processes that can be used to manufacture various types of gasoline. Each process involves blending oils in the company's catalytic cracker.
!!! Process 1
Running process 1 for an hour costs $5 and requires 2 barrels of crude oil 1 and 3 barrels of crude oil 2. The output from running process 1 for an hour is 2 barrels of gas 1 and 1 barrel of gas 2.
!!! Process 2
Running process 2 for an hour costs $4 and requires 1 barrel of crude 1 and 3 barrels of crude 2. The output from process 2 for an hour is 3 barrels of gas 2.
!!! Process 3
Running process 3 for an hour costs $1 and requires 2 barrels of crude 2 and 3 barrels of gas 2. The output from running process 3 for an hour is 2 barrels of gas 3.
Each week, 200 barrels of crude 1, at $2/ barrel, and 300 barrels of crude 2 at $3/barrel, may be purchased. All gas produced can be sold at the following per-barrel prices: gas 1, $9; gas 2, $10; gas 3, $24. Formulate an LP whose solution will maximize revenues less costs. Assume that only 100 hours of time on the catalytic cracker are available each week.
* Let x[i] = no. of hours process i is run per week (where i =1,2,3)
* Let o[i] = no. of barrels of oil i that is purchased per week (i =1,2)
* Let g[i] = no. of barrels of gas i sold per week (i=1,2,3)
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Sunco oil has three different processes that can be used to manufacture various types of gasoline. Each process involves blending oils in the company's catalytic cracker.
!!! Process 1
Running process 1 for an hour costs $5 and requires 2 barrels of crude oil 1 and 3 barrels of crude oil 2. The output from running process 1 for an hour is 2 barrels of gas 1 and 1 barrel of gas 2.
!!! Process 2
Running process 2 for an hour costs $4 and requires 1 barrel of crude 1 and 3 barrels of crude 2. The output from process 2 for an hour is 3 barrels of gas 2.
!!! Process 3
Running process 3 for an hour costs $1 and requires 2 barrels of crude 2 and 3 barrels of gas 2. The output from running process 3 for an hour is 2 barrels of gas 3.
Each week, 200 barrels of crude 1, at $2/ barrel, and 300 barrels of crude 2 at $3/barrel, may be purchased. All gas produced can be sold at the following per-barrel prices: gas 1, $9; gas 2, $10; gas 3, $24. Formulate an LP whose solution will maximize revenues less costs. Assume that only 100 hours of time on the catalytic cracker are available each week.
* Let x[i] = no. of hours process i is run per week (where i =1,2,3)
* Let o[i] = no. of barrels of oil i that is purchased per week (i =1,2)
* Let g[i] = no. of barrels of gas i sold per week (i=1,2,3)
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!!! Problem
Sunco oil has three different processes that can be used to manufacture various types of gasoline. Each process involves blending oils in the company's catalytic cracker.
!!! Process 1
Running process 1 for an hour costs $5 and requires 2 barrels of crude oil 1 and 3 barrels of crude oil 2. The output from running process 1 for an hour is 2 barrels of gas 1 and 1 barrel of gas 2.
!!! Process 2
Running process 2 for an hour costs $4 and requires 1 barrel of crude 1 and 3 barrels of crude 2. The output from process 2 for an hour is 3 barrels of gas 2.
!!! Process 3
Running process 3 for an hour costs $1 and requires 2 barrels of crude 2 and 3 barrels of gas 2. The output from running process 3 for an hour is 2 barrels of gas 3.
Each week, 200 barrels of crude 1, at $2/ barrel, and 300 barrels of crude 2 at $3/barrel, may be purchased. All gas produced can be sold at the following per-barrel prices: gas 1, $9; gas 2, $10; gas 3, $24. Formulate an LP whose solution will maximize revenues less costs. Assume that only 100 hours of time on the catalytic cracker are available each week.
* Let x[i] = no. of hours process i is run per week (where i =1,2,3)
* Let o[i] = no. of barrels of oil i that is purchased per week (i =1,2)
* Let g[i] = no. of barrels of gas i sold per week (i=1,2,3)
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Model sunco
Variables
x[1:3] = 30, >=0
o[1] = 100, >=0, <=200
o[2] = 100, >=0, <=300
g[1:3] = 100, >=0
obj
profit
End Variables
Equations
! minimize (-profit) = maximize (profit)
obj = -profit
! profit per week = revenue - costs
profit = 9*g[1]+10*g[2]+24*g[3]-5*x[1]-4*x[2]-x[3]-2*o[1]-3*o[2]
! consumption of crude 1
2*x[1] + x[2] = o[1]
! consumption of crude 2
3*x[1] + 3*x[2] + 2*x[3] = o[2]
! generation of gas 1
2*x[1] = g[1]
! generation (and consumption) of gas 2
x[1] + 3*x[2] - 3*x[3] = g[2]
! generation of gas 3
2*x[3] = g[3]
! cat cracker available 100 hours per week
x[1] + x[2] + x[3] <= 100
End Equations
End Model
</pre>
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Let x[i] = no. of hours process i is run per week (where i =1,2,3)
Let o[i] = no. of barrels of oil i that is purchased per week (i =1,2)
Let g[i] = no. of barrels of gas i sold per week (i=1,2,3)
Let o[i] = no. of barrels of oil i that is purchased per week (i =1,2)
Let g[i] = no. of barrels of gas i sold per week (i=1,2,3)
to:
* Let x[i] = no. of hours process i is run per week (where i =1,2,3)
* Let o[i] = no. of barrels of oil i that is purchased per week (i =1,2)
* Let g[i] = no. of barrels of gas i sold per week (i=1,2,3)
* Let o[i] = no. of barrels of oil i that is purchased per week (i =1,2)
* Let g[i] = no. of barrels of gas i sold per week (i=1,2,3)
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* %list list-page% [[Attach:sunoco.apm | Gas Blending]]
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* %list list-page% [[Attach:sunco.apm | Gas Blending]]
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!!! Model
* %list list-page% [[Attach:sunoco.apm | Gas Blending]]
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!!! Problem
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!! Gasoline Blending
Sunco oil has three different processes that can be used to manufacture various types of gasoline. Each process involves blending oils in the company's catalytic cracker.
!!! Process 1
Running process 1 for an hour costs $5 and requires 2 barrels of crude oil 1 and 3 barrels of crude oil 2. The output from running process 1 for an hour is 2 barrels of gas 1 and 1 barrel of gas 2.
!!! Process 2
Running process 2 for an hour costs $4 and requires 1 barrel of crude 1 and 3 barrels of crude 2. The output from process 2 for an hour is 3 barrels of gas 2.
!!! Process 3
Running process 3 for an hour costs $1 and requires 2 barrels of crude 2 and 3 barrels of gas 2. The output from running process 3 for an hour is 2 barrels of gas 3.
Each week, 200 barrels of crude 1, at $2/ barrel, and 300 barrels of crude 2 at $3/barrel, may be purchased. All gas produced can be sold at the following per-barrel prices: gas 1, $9; gas 2, $10; gas 3, $24. Formulate an LP whose solution will maximize revenues less costs. Assume that only 100 hours of time on the catalytic cracker are available each week.
Let x[i] = no. of hours process i is run per week (where i =1,2,3)
Let o[i] = no. of barrels of oil i that is purchased per week (i =1,2)
Let g[i] = no. of barrels of gas i sold per week (i=1,2,3)
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!!! Solution
Run process 2 for 100 hours/week = $1500/week
If gas 1 price rises above $11.5/barrel, the optimal solution is to run process 1.
If gas 3 price rises above $26/barrel, the optimal solution is to run processes
2 and 3 for equal periods of time (50 hours).
Sunco oil has three different processes that can be used to manufacture various types of gasoline. Each process involves blending oils in the company's catalytic cracker.
!!! Process 1
Running process 1 for an hour costs $5 and requires 2 barrels of crude oil 1 and 3 barrels of crude oil 2. The output from running process 1 for an hour is 2 barrels of gas 1 and 1 barrel of gas 2.
!!! Process 2
Running process 2 for an hour costs $4 and requires 1 barrel of crude 1 and 3 barrels of crude 2. The output from process 2 for an hour is 3 barrels of gas 2.
!!! Process 3
Running process 3 for an hour costs $1 and requires 2 barrels of crude 2 and 3 barrels of gas 2. The output from running process 3 for an hour is 2 barrels of gas 3.
Each week, 200 barrels of crude 1, at $2/ barrel, and 300 barrels of crude 2 at $3/barrel, may be purchased. All gas produced can be sold at the following per-barrel prices: gas 1, $9; gas 2, $10; gas 3, $24. Formulate an LP whose solution will maximize revenues less costs. Assume that only 100 hours of time on the catalytic cracker are available each week.
Let x[i] = no. of hours process i is run per week (where i =1,2,3)
Let o[i] = no. of barrels of oil i that is purchased per week (i =1,2)
Let g[i] = no. of barrels of gas i sold per week (i=1,2,3)
----
!!! Solution
Run process 2 for 100 hours/week = $1500/week
If gas 1 price rises above $11.5/barrel, the optimal solution is to run process 1.
If gas 3 price rises above $26/barrel, the optimal solution is to run processes
2 and 3 for equal periods of time (50 hours).