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How do you add a simple linear constraint x + y <= 10 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y <= 10)
1
How do you add a constraint ensuring that 3x + 4y >= 20 in Pyomo?
model.constraint = Constraint(expr=3*model.x + 4*model.y >= 20)
2
How do you add an equality constraint x = y in Pyomo?
model.constraint = Constraint(expr=model.x == model.y)
3
How do you add a constraint to limit z <= 15 where z is a variable in Pyomo?
model.constraint = Constraint(expr=model.z <= 15)
4
How do you add a constraint that x + y + z <= 25 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y + model.z <= 25)
5
How do you add a constraint that ensures x is at least 5 in Pyomo?
model.constraint = Constraint(expr=model.x >= 5)
6
How do you add a constraint that 2x + 3y - z = 0 in Pyomo?
model.constraint = Constraint(expr=2*model.x + 3*model.y - model.z == 0)
7
How do you add a constraint to ensure x is between 1 and 10 in Pyomo?
model.constraint = Constraint(expr=(1 <= model.x <= 10))
8
How do you add a constraint that ensures the sum of x and y is at least 10 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y >= 10)
9
How do you add a constraint that x - y <= 5 in Pyomo?
model.constraint = Constraint(expr=model.x - model.y <= 5)
10
How do you add a constraint ensuring that 2a + 3b + 4c = 30 in Pyomo?
model.constraint = Constraint(expr=2*model.a + 3*model.b + 4*model.c == 30)
11
How do you add a constraint that ensures x is not greater than 20 in Pyomo?
model.constraint = Constraint(expr=model.x <= 20)
12
How do you add a constraint ensuring x + 2y + 3z >= 40 in Pyomo?
model.constraint = Constraint(expr=model.x + 2*model.y + 3*model.z >= 40)
13
How do you add a constraint ensuring y is exactly 10 in Pyomo?
model.constraint = Constraint(expr=model.y == 10)
14
How do you add a constraint ensuring x is at least twice y in Pyomo?
model.constraint = Constraint(expr=model.x >= 2*model.y)
15
How do you add a constraint that ensures x + y - z = 5 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y - model.z == 5)
16
How do you add a constraint ensuring x <= 5y in Pyomo?
model.constraint = Constraint(expr=model.x <= 5*model.y)
17
How do you add a constraint that 3x + 4y + 5z <= 50 in Pyomo?
model.constraint = Constraint(expr=3*model.x + 4*model.y + 5*model.z <= 50)
18
How do you add a constraint ensuring a + b + c >= 100 in Pyomo?
model.constraint = Constraint(expr=model.a + model.b + model.c >= 100)
19
How do you add a constraint x + y <= 10 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y <= 10)
20
How can you enforce 3x + 4y >= 25 in Pyomo?
model.constraint = Constraint(expr=3 * model.x + 4 * model.y >= 25)
21
How do you add the equality constraint x - y = 5 in Pyomo?
model.constraint = Constraint(expr=model.x - model.y == 5)
22
How can you include the constraint 2a + 3b + c <= 15 in Pyomo?
model.constraint = Constraint(expr=2 * model.a + 3 * model.b + model.c <= 15)
23
How do you add 4m - 2n = 8 as a constraint in Pyomo?
model.constraint = Constraint(expr=4 * model.m - 2 * model.n == 8)
24
How can you enforce p + 5q >= 20 in Pyomo?
model.constraint = Constraint(expr=model.p + 5 * model.q >= 20)
25
How do you add the constraint 2x + 3y - z <= 18 in Pyomo?
model.constraint = Constraint(expr=2 * model.x + 3 * model.y - model.z <= 18)
26
How can you include the constraint 5x + 7y <= 35 in Pyomo?
model.constraint = Constraint(expr=5 * model.x + 7 * model.y <= 35)
27
How do you add x - 2y >= 0 as a constraint in Pyomo?
model.constraint = Constraint(expr=model.x - 2 * model.y >= 0)
28
How can you enforce 3x + 4y + 5z = 50 in Pyomo?
model.constraint = Constraint(expr=3 * model.x + 4 * model.y + 5 * model.z == 50)
29
How do you add the constraint 2a - b + 3c <= 12 in Pyomo?
model.constraint = Constraint(expr=2 * model.a - model.b + 3 * model.c <= 12)
30
How can you include 4p + 3q >= 40 as a constraint in Pyomo?
model.constraint = Constraint(expr=4 * model.p + 3 * model.q >= 40)
31
How do you add 2x + 3y + 4z <= 30 as a constraint in Pyomo?
model.constraint = Constraint(expr=2 * model.x + 3 * model.y + 4 * model.z <= 30)
32
How can you enforce 5a + b - c >= 10 in Pyomo?
model.constraint = Constraint(expr=5 * model.a + model.b - model.c >= 10)
33
How do you add the constraint 3m - 2n <= 6 in Pyomo?
model.constraint = Constraint(expr=3 * model.m - 2 * model.n <= 6)
34
How can you include 4x + 5y + 6z = 60 as a constraint in Pyomo?
model.constraint = Constraint(expr=4 * model.x + 5 * model.y + 6 * model.z == 60)
35
How do you add 2a + b >= 5 as a constraint in Pyomo?
model.constraint = Constraint(expr=2 * model.a + model.b >= 5)
36
How can you enforce x + y + z <= 10 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y + model.z <= 10)
37
How do you add the constraint 2p + 3q + r >= 15 in Pyomo?
model.constraint = Constraint(expr=2 * model.p + 3 * model.q + model.r >= 15)
38
How can you include 3a + 4b - c <= 20 as a constraint in Pyomo?
model.constraint = Constraint(expr=3 * model.a + 4 * model.b - model.c <= 20)
39
How do you add a constraint that 3x + 4y <= 20 in Pyomo?
model.constraint = Constraint(expr=3 * model.x + 4 * model.y <= 20)
40
How do you add a constraint that 5x - 2y = 10 in Pyomo?
model.constraint = Constraint(expr=5 * model.x - 2 * model.y == 10)
41
How do you add a constraint that x + y >= 5 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y >= 5)
42
How do you add an upper bound constraint such that x <= 15 in Pyomo?
model.constraint = Constraint(expr=model.x <= 15)
43
How do you add a lower bound constraint such that y >= 3 in Pyomo?
model.constraint = Constraint(expr=model.y >= 3)
44
How do you add a constraint that 2x + 3y + 4z <= 25 in Pyomo?
model.constraint = Constraint(expr=2 * model.x + 3 * model.y + 4 * model.z <= 25)
45
How do you add a constraint that the sum of x, y, and z equals 10 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y + model.z == 10)
46
How do you add a constraint that the ratio of x to y is at least 2 in Pyomo?
model.constraint = Constraint(expr=model.x >= 2 * model.y)
47
How do you add a constraint that the difference between x and y is less than or equal to 5 in Pyomo?
model.constraint = Constraint(expr=model.x - model.y <= 5)
48
How do you add a constraint that the absolute difference between x and y is less than or equal to 3 in Pyomo?
model.constraint = Constraint(expr=abs(model.x - model.y) <= 3)
49
How do you ensure that x is at least twice the value of y in Pyomo?
model.constraint = Constraint(expr=model.x >= 2 * model.y)
50
How do you ensure that y does not exceed the value of x in Pyomo?
model.constraint = Constraint(expr=model.y <= model.x)
51
How do you add a constraint using parameters a and b such that ax + by <= 30 in Pyomo?
model.constraint = Constraint(expr=model.a * model.x + model.b * model.y <= 30)"
52
How do you add a piecewise linear constraint to a model in Pyomo?
from pyomo.environ import Piecewise model.f = Var() model.x_pts = [0, 1, 2] model.f_pts = [0, 1, 4] model.constraint = Piecewise(model.x, model.f, pw_pts=model.x_pts, f_rule=model.f_pts)
53
How do you add a logical constraint that if x >= 2, then y <= 4 in Pyomo?
model.constraint = Constraint(expr=(model.x >= 2) & (model.y <= 4))
54
How do you add a conditional constraint that if x > 5, then y >= 3 in Pyomo?
model.constraint = Constraint(expr=(model.x > 5).implies(model.y >= 3))
55
How do you add a constraint involving a binary variable b such that if b=1, then x >= 10 in Pyomo?
model.b = Var(domain=Binary) model.constraint = Constraint(expr=model.x >= 10 * model.b)
56
How do you add a constraint involving an integer variable z such that x + z <= 15 in Pyomo?
model.z = Var(domain=NonNegativeIntegers) model.constraint = Constraint(expr=model.x + model.z <= 15)
57
How do you add an equality constraint x + y = 10 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y == 10)
58
How do you add a constraint x <= 5 in Pyomo?
model.constraint = Constraint(expr=model.x <= 5)
59
How do you add a constraint y >= 3 in Pyomo?
model.constraint = Constraint(expr=model.y >= 3)
60
How do you add a constraint 3x + 4y <= 24 in Pyomo?
model.constraint = Constraint(expr=3 * model.x + 4 * model.y <= 24)
61
How do you add a constraint 2x + 5y = 15 in Pyomo?
model.constraint = Constraint(expr=2 * model.x + 5 * model.y == 15)
62
How do you add a constraint x + 2y - z <= 10 in Pyomo?
model.constraint = Constraint(expr=model.x + 2 * model.y - model.z <= 10)
63
How do you add a constraint x^2 + y <= 9 in Pyomo?
model.constraint = Constraint(expr=model.x**2 + model.y <= 9)
64
How do you add a constraint y <= log(x) in Pyomo?
model.constraint = Constraint(expr=model.y <= log(model.x))
65
How do you add a constraint x + y >= 4 and x + y <= 6 in Pyomo?
model.constraint1 = Constraint(expr=model.x + model.y >= 4) model.constraint2 = Constraint(expr=model.x + model.y <= 6)
66
How do you add a constraint x <= y + 2 in Pyomo?
model.constraint = Constraint(expr=model.x <= model.y + 2)
67
How do you add a constraint x = y in Pyomo?
model.constraint = Constraint(expr=model.x == model.y)
68
How do you add a constraint x + 3y + z >= 7 in Pyomo?
model.constraint = Constraint(expr=model.x + 3 * model.y + model.z >= 7)
69
How do you add a constraint 2x + 3y - 4z <= 15 in Pyomo?
model.constraint = Constraint(expr=2 * model.x + 3 * model.y - 4 * model.z <= 15)
70
How do you add a constraint x >= y in Pyomo?
model.constraint = Constraint(expr=model.x >= model.y)
71
How do you add a constraint x + y + z <= 12 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y + model.z <= 12)
72
How do you add a constraint x^2 + y^2 <= 25 in Pyomo?
model.constraint = Constraint(expr=model.x**2 + model.y**2 <= 25)
73
How do you add a constraint 3x - y + z >= 10 in Pyomo?
model.constraint = Constraint(expr=3 * model.x - model.y + model.z >= 10)
74
How do you add a constraint x - 2y + 3z = 5 in Pyomo?
model.constraint = Constraint(expr=model.x - 2 * model.y + 3 * model.z == 5)
75
How do you add a constraint x + y <= 8 and x <= y in Pyomo?
model.constraint1 = Constraint(expr=model.x + model.y <= 8) model.constraint2 = Constraint(expr=model.x <= model.y)
76
How do you add a constraint x + y <= z + 3 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y <= model.z + 3)
77
How do you add a quadratic constraint x^2 + y^2 <= 25 in Pyomo?
model.constraint = Constraint(expr=model.x**2 + model.y**2 <= 25)
78
How do you add a constraint with absolute values |x - y| <= 5 in Pyomo?
model.constraint = Constraint(expr=abs(model.x - model.y) <= 5)
79
How do you add a piecewise linear constraint f(x) = x if x <= 1 else 2x - 1 if x > 1 in Pyomo?
model.f = Var() model.constraint1 = Constraint(expr=model.f <= model.x) model.constraint2 = Constraint(expr=model.f <= 2*model.x - 1 + M*(model.x <= 1))
80
How do you add a constraint involving summation that ensures x + y = 10 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y == 10)
81
How do you add a constraint involving product of variables xy <= 10 in Pyomo?
model.constraint = Constraint(expr=model.x * model.y <= 10)
82
How do you add a constraint with trigonometric functions sin(x) <= y in Pyomo?
import math model.constraint = Constraint(expr=math.sin(model.x) <= model.y)
83
How do you add a constraint with logarithmic functions log(x) >= 2 in Pyomo?
import math model.constraint = Constraint(expr=math.log(model.x) >= 2)
84
How do you add a constraint with exponential functions e^x + y <= 10 in Pyomo?
import math model.constraint = Constraint(expr=math.exp(model.x) + model.y <= 10)
85
How do you add a constraint with if-else conditions that if x >= 5 then y <= 3 in Pyomo?
model.constraint = Constraint(expr=(model.x >= 5) >> (model.y <= 3))
86
How do you add a constraint with min function min(x, y) >= 3 in Pyomo?
model.constraint1 = Constraint(expr=model.x >= 3) model.constraint2 = Constraint(expr=model.y >= 3)
87
How do you add a constraint with max function max(x, y) <= 10 in Pyomo?
model.constraint1 = Constraint(expr=model.x <= 10) model.constraint2 = Constraint(expr=model.y <= 10)
88
How do you add a constraint with a ratio x / y <= 5 in Pyomo?
model.constraint = Constraint(expr=model.x <= 5 * model.y)
89
How do you add a constraint with a fractional function (x + 1) / (y + 2) >= 3 in Pyomo?
model.constraint = Constraint(expr=(model.x + 1) >= 3 * (model.y + 2))
90
How do you add a nonlinear constraint x^3 + y^2 <= 20 in Pyomo?
model.constraint = Constraint(expr=model.x**3 + model.y**2 <= 20)
91
How do you add a constraint with power function x^y <= 50 in Pyomo?
model.constraint = Constraint(expr=model.x**model.y <= 50)
92
How do you add a constraint with conditional statements that if x <= 2 then y >= 4 in Pyomo?
model.constraint = Constraint(expr=(model.x <= 2) >> (model.y >= 4))
93
How do you add a dynamic constraint x + ty <= 20 where t is a parameter in Pyomo?
model.t = Param(initialize=2) model.constraint = Constraint(expr=model.x + model.t * model.y <= 20)
94
How do you add an integer constraint x in {0, 1, 2, 3} in Pyomo?
model.x = Var(within=Integers, bounds=(0, 3))
95
How do you add a mixed-integer constraint where x is an integer and y is a continuous variable with x + y <= 10 in Pyomo?
model.x = Var(within=Integers) model.y = Var(domain=NonNegativeReals) model.constraint28 = Constraint(expr=model.x + model.y <= 10)
96
How do you add a simple linear constraint x + y <= 10 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y <= 10)
97
How do you add a constraint ensuring that 3x + 4y >= 20 in Pyomo?
model.constraint = Constraint(expr=3*model.x + 4*model.y >= 20)
98
How do you add an equality constraint x = y in Pyomo?
model.constraint = Constraint(expr=model.x == model.y)
99
How do you add a constraint to limit z <= 15 where z is a variable in Pyomo?
model.constraint = Constraint(expr=model.z <= 15)
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