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sensitivity_analysis.py
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sensitivity_analysis.py
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# -*- coding: utf-8 -*-
"""
Created on Sat Nov 28 17:47:35 2020
The purpose is (well) to do the sensitivity analysis.
@author: vladg,danny,flori
"""
import numpy as np
import matplotlib
import matplotlib.pyplot as plt
import matplotlib.path as mpath
star = mpath.Path.unit_regular_star(6)
circle = mpath.Path.unit_circle()
# Plotting:
texpsize = [15, 18, 22]
plt.rc('font', size=texpsize[1], family='serif') # controls default text sizes
plt.rc('axes', titlesize=texpsize[1]) # fontsize of the axes title
plt.rc('axes', labelsize=texpsize[1]) # fontsize of the x and y labels
plt.rc('xtick', labelsize=texpsize[0]) # fontsize of the tick labels
plt.rc('ytick', labelsize=texpsize[0]) # fontsize of the tick labels
plt.rc('legend', fontsize=texpsize[0]) # legend fontsize
plt.rc('figure', titlesize=texpsize[2]) # fontsize of the figure title
matplotlib.rcParams['lines.linewidth'] = 1.5
matplotlib.rcParams['figure.facecolor'] = 'white'
matplotlib.rcParams['axes.facecolor'] = 'white'
matplotlib.rcParams["legend.fancybox"] = True
# +++++++++++++++++++++++++++++++++++++++ Capacity sensitivity +++++++++++++++++++++++++++++++++++
# # CHANGE HERE WITH YOUR OWN DATA!
# q_lst = [8,10,12,14,16]
# Z1_lst = [31384,29670,28673, 28570,28320]
# Z2_lst = [3138.4,3008.2 ,2846.89,2811.6,2811.53]
# Z3_lst = [17443.5,17702.56 ,18069.8,18750.4,18092.7]
# #Z1
# plt.figure("Z1_q")
# x = np.array(q_lst)
# y = np.array(Z1_lst)/1000 #to get km
# ax1 = plt.subplot(131)
# plt.plot(x,y,"#2A9D8F",marker='s', label=str(r"$Z_1$"))
# plt.plot(x,y*0 + y[1],"r--", label=str(r"$Z_1$ default"))
# plt.xlabel(r'$q$ [pizzas]')
# plt.ylabel(r'$Z_1$ [km]')
# plt.title(r'Minimised Total Distance')
# ax1.set_xlim(min(x), max(x))
# ax1.set_ylim(0.98*min(y), 1.02*max(y))
# plt.axvline(0,color=(0,0,0),linewidth=0.8) #comment out for no axes line
# plt.axhline(0,color=(0,0,0),linewidth=0.8) #comment out for no axes line
# plt.minorticks_on() # set minor ticks
# plt.grid(which='major', linestyle='-', linewidth='0.3', color='black') # customise major grid
# plt.grid(which='minor', linestyle=':', linewidth='0.3', color='grey') # customise minor grid
# plt.legend()
# plt.tight_layout()
# plt.show()
# # Z2
# # plt.figure("Z2_q")
# y = np.array(Z2_lst)/60 #to get km
# ax2 = plt.subplot(132)
# plt.plot(x,y,"#227C9D",marker='s', label=str(r"$Z_2$"))
# plt.plot(x,y*0 + y[1],"r--", label=str(r"$Z_2$ default"))
# plt.xlabel(r'$q$ [pizzas]')
# plt.ylabel(r'$Z_2$ [min]')
# plt.title(r'Minimised Total Airtime')
# ax2.set_xlim(min(x), max(x))
# ax2.set_ylim(0.98*min(y), 1.02*max(y))
# plt.axvline(0,color=(0,0,0),linewidth=0.8) #comment out for no axes line
# plt.axhline(0,color=(0,0,0),linewidth=0.8) #comment out for no axes line
# plt.minorticks_on() # set minor ticks
# plt.grid(which='major', linestyle='-', linewidth='0.3', color='black') # customise major grid
# plt.grid(which='minor', linestyle=':', linewidth='0.3', color='grey') # customise minor grid
# plt.legend()
# plt.tight_layout()
# plt.show()
# #Z3
# # plt.figure("Z3_q")
# y = np.array(Z3_lst)/60 #to get km
# ax3 = plt.subplot(133)
# plt.plot(x,y,"#E76F51",marker='s', label=str(r"$Z_3$"))
# plt.plot(x,y*0 + y[1],"r--", label=str(r"$Z_3$ default"))
# plt.xlabel(r'$q$ [pizzas]')
# plt.ylabel(r'$Z_3$ [min]')
# plt.title(r'Minimised Total Lateness')
# ax3.set_xlim(min(x), max(x))
# ax3.set_ylim(0.98*min(y), 1.02*max(y))
# plt.axvline(0,color=(0,0,0),linewidth=0.8) #comment out for no axes line
# plt.axhline(0,color=(0,0,0),linewidth=0.8) #comment out for no axes line
# plt.minorticks_on() # set minor ticks
# plt.grid(which='major', linestyle='-', linewidth='0.3', color='black') # customise major grid
# plt.grid(which='minor', linestyle=':', linewidth='0.3', color='grey') # customise minor grid
# plt.legend()
# plt.tight_layout()
# plt.show()
# #++++++++++++++++++++ Speed sensitivity +++++++++++++++++++++++++++++++++++++++++++++++++++++++++
# CHANGE HERE WITH YOUR OWN DATA!
v_lst = [8,10,15,20,25]
Z1_lst = [29765,29670,29624, 29504,29555]
Z2_lst = [3720,3008.2 , 1952,1464,1171.56]
Z3_lst = [18362,17702.56 ,16821,16377,16329]
#Z1
plt.figure("Z1_V")
x = np.array(v_lst)
y = np.array(Z1_lst)/1000 #to get km
ax1 = plt.subplot(131)
plt.plot(x,y,"#2A9D8F",marker='s', label=str(r"$Z_1$"))
plt.plot(x,y*0 + y[1],"r--", label=str(r"$Z_1$ default"))
plt.xlabel(r'$V$ [m/s]')
plt.ylabel(r'$Z_1$ [km]')
plt.title(r'Minimised Total Distance')
ax1.set_xlim(min(x), max(x))
ax1.set_ylim(0.98*min(y), 1.02*max(y))
plt.axvline(0,color=(0,0,0),linewidth=0.8) #comment out for no axes line
plt.axhline(0,color=(0,0,0),linewidth=0.8) #comment out for no axes line
plt.minorticks_on() # set minor ticks
plt.grid(which='major', linestyle='-', linewidth='0.3', color='black') # customise major grid
plt.grid(which='minor', linestyle=':', linewidth='0.3', color='grey') # customise minor grid
plt.legend()
plt.tight_layout()
plt.show()
# Z2
# plt.figure("Z2_q")
y = np.array(Z2_lst)/60 #to get km
ax2 = plt.subplot(132)
plt.plot(x,y,"#227C9D",marker='s', label=str(r"$Z_2$"))
plt.plot(x,y*0 + y[1],"r--", label=str(r"$Z_2$ default"))
plt.xlabel(r'$V$ [m/s]')
plt.ylabel(r'$Z_2$ [min]')
plt.title(r'Minimised Total Airtime')
ax2.set_xlim(min(x), max(x))
ax2.set_ylim(0.98*min(y), 1.02*max(y))
plt.axvline(0,color=(0,0,0),linewidth=0.8) #comment out for no axes line
plt.axhline(0,color=(0,0,0),linewidth=0.8) #comment out for no axes line
plt.minorticks_on() # set minor ticks
plt.grid(which='major', linestyle='-', linewidth='0.3', color='black') # customise major grid
plt.grid(which='minor', linestyle=':', linewidth='0.3', color='grey') # customise minor grid
plt.legend()
plt.tight_layout()
plt.show()
#Z3
# plt.figure("Z3_q")
y = np.array(Z3_lst)/60 #to get km
ax3 = plt.subplot(133)
plt.plot(x,y,"#E76F51",marker='s', label=str(r"$Z_3$"))
plt.plot(x,y*0 + y[1],"r--", label=str(r"$Z_3$ default"))
plt.xlabel(r'$V$ [m/s]')
plt.ylabel(r'$Z_3$ [min]')
plt.title(r'Minimised Total Lateness')
ax3.set_xlim(min(x), max(x))
ax3.set_ylim(0.98*min(y), 1.02*max(y))
plt.axvline(0,color=(0,0,0),linewidth=0.8) #comment out for no axes line
plt.axhline(0,color=(0,0,0),linewidth=0.8) #comment out for no axes line
plt.minorticks_on() # set minor ticks
plt.grid(which='major', linestyle='-', linewidth='0.3', color='black') # customise major grid
plt.grid(which='minor', linestyle=':', linewidth='0.3', color='grey') # customise minor grid
plt.legend()
plt.tight_layout()
plt.show()