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Bajardi: 052-21 guruh talabasi YunusovA. Qa’bul qildi: Ravshanov Sh
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| Sana | 14.05.2024 | | Hajmi | 496,25 Kb. | | #233042 |
Bog'liq alg v 23 2 l
O’ZBEKISTON RESPUBLIKASI AXBOROT TEXNOLOGIYALARI VA KOMMUNIKATSIYALARNI RIVOJLANTIRISH VAZIRLIGI
MUHAMMAD AL-XORAZMIY NOMIDAGI TOSHKENT AXBOROT TEXNOLOGIYALARI UNIVERSITETI
AMALIY MASHG’ULOT
Bajardi: 052-21 guruh talabasi YunusovA. Qa’bul qildi: Ravshanov Sh
Toshkent 2024
1.
import numpy as np
from scipy.optimize import linprog
c = [-1, -2]
A = [[2, 3], [1, 3], [1, 0]]
b = [24, 15, 4]
x0_bounds = (0, None)
x1_bounds = (0, None)
res = linprog(c, A_ub=A, b_ub=b, bounds=[x0_bounds, x1_bounds])
print('Optimal qiymat:', -res.fun)
print('x1, x2 qiymatlari:', res.x)
2.
import numpy as np
import matplotlib.pyplot as plt
c = np.array([2, 3])
A = np.array([[2, 1], [-2, 3], [2, 4]])
b = np.array([10, 6, 8])
def objective_function(x1, x2):
return 2 * x1 + 3 * x2
def check_constraints(x1, x2):
for i in range(len(A)):
if np.dot(A[i], [x1, x2]) > b[i]:
return False
return True
x1_values = np.linspace(0, 5, 400)
x2_values = np.linspace(0, 5, 400)
z_values = np.zeros((len(x1_values), len(x2_values)))
for i, x1 in enumerate(x1_values):
for j, x2 in enumerate(x2_values):
if check_constraints(x1, x2):
z_values[j, i] = objective_function(x1, x2)
else:
z_values[j, i] = np.nan
plt.figure(figsize=(10, 6))
plt.contourf(x1_values, x2_values, z_values, levels=20, cmap='viridis')
plt.colorbar(label='Qiymat')
plt.xlabel('x1')
plt.ylabel('x2')
plt.title('Funksiyani o\'zgaruvchilarning grafik usuli')
plt.grid(True)
plt.show()
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