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model.py
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from collections import defaultdict, namedtuple
from pyomo.util.infeasible import log_infeasible_constraints
import pyomo.environ as pyomo
import pandas
import logging
from timeit import default_timer as timer
import argparse
import os
import math
parser = argparse.ArgumentParser()
parser.add_argument("nGat")
parser.add_argument("nPla")
parser.add_argument("nDev")
parser.add_argument("seed")
parser.add_argument("qos_bound")
args = parser.parse_args()
os.system("date")
DEBUG = False
VERBOSE = True
PACKET_SIZE = 400 # bits
QOS_LOWER_BOUND = float(args.qos_bound)
LOSS_HIGHER_BOUND = 4
TRANSMISSION_PROBABILITY = 0.01
MAX_RKC = 6835.94
MIN_RKC = 183.11
MAX_DELAY = PACKET_SIZE / MIN_RKC
startPre = timer()
# NS-3 "thesis-experimentation" pre-processed files
cwd = os.getcwd()
path_output = cwd + "/data/model/output/"
path_data = cwd + "/data/model/"
gateway_data = cwd + "/data/placement/"
devices_data = cwd + "/data/placement/"
prefix = "opt_gap"
end_device_position_file = devices_data + "endDevices_LNM_Placement_" + str(args.seed) + "s+" + str(args.nDev) + "d.dat"
#"endDevices_LNM_Placement_1s+10d.dat"
if args.nPla == '1':
gateway_position_file = gateway_data + "equidistantPlacement_" + str(args.nGat) + ".dat"
else:
gateway_position_file = gateway_data + "equidistantPlacement_" + str(args.nGat) + "x" + str(args.nPla) + ".dat"
slice_association_file = path_data + "skl_" + \
str(args.seed) + "s_" + \
str(args.nGat) + "x" + \
str(args.nPla) +"Gv_" + \
str(args.nDev) + "D.dat"
# plr1_file = path_data + "plrI_" + \
# str(args.seed) + "s_" + \
# str(args.nGat) + "x" + \
# str(args.nPla) +"Gv_" + \
# str(args.nDev) + "D.dat"
#DEBUG filenames
if DEBUG:
print(end_device_position_file)
print(gateway_position_file)
print(slice_association_file)
#exit()
Position = namedtuple('Position', ['x', 'y', 'z'])
Configuration = namedtuple('Configuration', ['sf', 'tp'])
Gateway = namedtuple('Gateway', ['bandwidths', 'max_datarates'])
# -------------------------------
# Processing End Device Positions
# -------------------------------
end_device_position_df = pandas.read_csv(end_device_position_file, names=['x', 'y', 'z'],
sep=" ", index_col=False)
end_device_positions = {}
for row in end_device_position_df.itertuples():
end_device_positions[row.Index] = Position(x=row.x, y=row.y, z=row.z)
if VERBOSE:
print('End Device Positions: ')
print(end_device_positions)
print('------------------------------------------------------------------------------')
# ---------------------------------------
# Processing End Device Slice Association
# ---------------------------------------
slice_association_df = pandas.read_csv(slice_association_file, names=['device', 'slice'],
sep=" ", index_col=False)
slice_associations = {}
for row in slice_association_df.itertuples():
slice_associations[row.device] = row.slice
if VERBOSE:
print('Slice Associations: ')
print(slice_associations)
print('------------------------------------------------------------------------------')
# -------------------------------
# Processing Slices
# -------------------------------
slices = {0: 'slice1', 1: 'slice2', 2: 'slice3'}
if VERBOSE:
print('Slices: ')
print(slices)
print('------------------------------------------------------------------------------')
# -----------------------------
# Processing Gateway Positions
# -----------------------------
gateway_position_df = pandas.read_csv(gateway_position_file, names=['x', 'y', 'z'],
sep=" ", index_col=False)
gateway_positions = {}
for row in gateway_position_df.itertuples():
gateway_positions[row.Index + len(end_device_positions)] = Position(x=row.x, y=row.y, z=row.z)
if VERBOSE:
print('Gateway Positions: ')
print(gateway_positions)
print('------------------------------------------------------------------------------')
# -----------------------------
# Processing Gateways
# -----------------------------
gateways = {0: Gateway(bandwidths=[125000.0 for i in enumerate(slices)],
max_datarates=[15197.75390625 for i in enumerate(slices)])}
if VERBOSE:
print('Gateways: ')
print(gateways)
print('------------------------------------------------------------------------------')
# -----------------------------
# Processing Configurations
# -----------------------------
spreading_factors = range(7, 13)
transmission_powers = range(2, 16, 2)
configurations = {}
sensitivity = {7: -130.0, 8: -132.5, 9: -135.0, 10: -137.5, 11: -140.0, 12: -142.5}
# sensitivity = {7: -124.0, 8: -127.0, 9: -130.0, 10: -133.0, 11: -135.0, 12: -137.0} # Simulator params
referencePrx = 10.0
referenceDistance = 1.0
attenuationExponent = 3.76
for idx, value in enumerate(Configuration(sf, tp)
for sf in spreading_factors
for tp in transmission_powers):
configurations[idx] = value
# Symbol Rate SF_c [bits/s]
symbol_rates = {}
for idx, configuration in configurations.items():
if configuration.sf == 7:
# symbol_rates[idx] = 3417.97 #CR 4
# symbol_rates[idx] = 4557.29 #CR 3
# symbol_rates[idx] = 3906.25 #CR 2
symbol_rates[idx] = 5468.75 #CR 1
elif configuration.sf == 8:
# symbol_rates[idx] = 1953.13 #CR 4
# symbol_rates[idx] = 2232.14 #CR 3
# symbol_rates[idx] = 2604.17 #CR 2
symbol_rates[idx] = 3125.00 #CR 1
elif configuration.sf == 9:
# symbol_rates[idx] = 1098.63 #CR 4
# symbol_rates[idx] = 1255.58 #CR 3
# symbol_rates[idx] = 1464.84 #CR 2
symbol_rates[idx] = 2197.27 #CR 1
elif configuration.sf == 10:
# symbol_rates[idx] = 610.35 #CR 4
# symbol_rates[idx] = 697.54 #CR 3
# symbol_rates[idx] = 813.80 #CR 2
symbol_rates[idx] = 976.56 #CR 1
elif configuration.sf == 11:
# symbol_rates[idx] = 335.69 # CR 4
# symbol_rates[idx] = 383.65 # CR 3
# symbol_rates[idx] = 447.59 # CR 2
symbol_rates[idx] = 537.11 # CR 1
elif configuration.sf == 12:
# symbol_rates[idx] = 183.11 # CR 4
# symbol_rates[idx] = 209.26 # CR 3
# symbol_rates[idx] = 244.14 # CR 2
symbol_rates[idx] = 292.97 # CR 1
if VERBOSE:
print('Configurations: ')
print(configurations)
print('\nSymbol Rates: ')
print(symbol_rates)
print('------------------------------------------------------------------------------')
# -----------------------------
# Processing PLR'
# -----------------------------
# plr1_df = pandas.read_csv(plr1_file, names=['device', 'gateway', 'sf', 'tp'],
# sep=" ", index_col=False)
# inverse_configurations = {value: key for key, value in configurations.items()}
# plr1 = defaultdict(list)
# for row in plr1_df.itertuples():
# config_id = inverse_configurations[Configuration(row.sf, row.tp)]
# plr1[(row.device, row.gateway)].append(config_id)
# if VERBOSE:
# print('PLR\': ')
# print(plr1)
# print('------------------------------------------------------------------------------')
# -----------------------------
# ------ Building Model -------
# -----------------------------
model = pyomo.ConcreteModel()
model.M = pyomo.Set(initialize=gateways.keys())
model.P = pyomo.Set(initialize=gateway_positions.keys())
model.K = pyomo.Set(initialize=end_device_positions.keys())
model.C = pyomo.Set(initialize=configurations.keys())
model.SF = pyomo.Set(initialize=spreading_factors)
model.x = pyomo.Var(model.M, model.P, model.K, model.C, domain=pyomo.Binary)
model.ceil1 = pyomo.Var(model.M, model.P, domain=pyomo.Binary)
model.ceil2 = pyomo.Var(model.M, model.P, domain=pyomo.Binary)
model.ceil3 = pyomo.Var(model.M, model.P, domain=pyomo.Binary)
model.ceil4 = pyomo.Var(model.M, model.SF, domain=pyomo.Binary)
# ------------------
# Objective Function
# ------------------
model.ceil1_lower_bound = pyomo.ConstraintList()
model.ceil1_higher_bound = pyomo.ConstraintList()
expression = 0
for gateway in model.M:
for position in model.P:
ceil_expr = sum(
model.x[gateway, position, device, config] / len(model.K)
for device in model.K
for config in model.C
)
model.ceil1_lower_bound.add(model.ceil1[gateway, position] - ceil_expr >= 0.0)
model.ceil1_higher_bound.add(model.ceil1[gateway, position] - ceil_expr <= 1.0 - (1 / len(model.K)))
expression += model.ceil1[gateway, position]
model.OBJECTIVE = pyomo.Objective(expr=expression, sense=pyomo.minimize)
# ------------------------
# One Gateway Per Position
# ------------------------
# model.ceil3_lower_bound = pyomo.ConstraintList()
# model.ceil3_higher_bound = pyomo.ConstraintList()
# model.single_gateway_per_position = pyomo.ConstraintList()
# for position in model.P:
# expression = 0
# for gateway in model.M:
# ceil_expr = sum(
# model.x[gateway, position, device, config] / len(model.K)
# for device in model.K
# for config in model.C
# )
# model.ceil3_lower_bound.add(model.ceil3[gateway, position] - ceil_expr >= 0.0)
# model.ceil3_higher_bound.add(model.ceil3[gateway, position] - ceil_expr <= 1.0 - (1 / len(model.K)))
# expression += model.ceil3[gateway, position]
# model.single_gateway_per_position.add(expression <= 1.0)
# -----------------------------------------------------
# Single Gateway, Position and Configuration per Device
# -----------------------------------------------------
model.single_match_for_device = pyomo.ConstraintList()
for device in model.K:
expression = sum(
model.x[gateway, position, device, config]
for gateway in model.M
for position in model.P
for config in model.C
)
model.single_match_for_device.add(expression == 1)
# --------------------------
# Gateway Capacity per Slice
# --------------------------
model.gateway_capacity = pyomo.ConstraintList()
for position in model.P:
for slice in slices.keys():
expression = sum(
model.x[gateway, position, device, config] *
(configurations[config].sf * gateways[gateway].bandwidths[slice] /
(2 ** configurations[config].sf))
for device in model.K
for gateway in model.M
for config in model.C
# Equivalent to S(k,l)
if slice_associations[device] == slice
)
for gateway in model.M:
model.gateway_capacity.add(expression <= gateways[gateway].max_datarates[slice])
# model.gateway_capacity.add(expression <= gateways[gateways].max_datarates[slice])
# ajustar em caso de nº gateways > 1
# --------------
# QoS Constraint
# --------------
model.qos_constraint = pyomo.ConstraintList()
qos_expressions = {}
qos_datarate_expressions = {}
qos_delay_expressions = {}
for gateway in model.M:
for device in model.K:
for slice in slices.keys():
# Equivalent to S(k,l)
if slice_associations[device] != slice:
continue
datarate_expression = sum(
model.x[gateway, position, device, config] *
(configurations[config].sf * gateways[gateway].bandwidths[slice] /
(2 ** configurations[config].sf)) / MAX_RKC
for position in model.P
for config in model.C
)
delay_expression = sum(
model.x[gateway, position, device, config] *
( 1 - ( PACKET_SIZE /
(configurations[config].sf * gateways[gateway].bandwidths[slice] /
(2 ** configurations[config].sf))
) / MAX_DELAY )
for position in model.P
for config in model.C
)
expression = sum(
model.x[gateway, position, device, config] * (
# r_{k,m}
(4/5 * configurations[config].sf * gateways[gateway].bandwidths[slice] /
(2 ** configurations[config].sf)) / MAX_RKC +
# 1 - d_{k,m}
( 1 - (
PACKET_SIZE / (configurations[config].sf *
gateways[gateway].bandwidths[slice] / (2 ** configurations[config].sf))
) / MAX_DELAY )
)
for position in model.P
for config in model.C
)
model.qos_constraint.add(expression >= QOS_LOWER_BOUND)
qos_expressions[(gateway, device)] = expression
qos_datarate_expressions[(gateway, device)] = datarate_expression
qos_delay_expressions[(gateway, device)] = delay_expression
# ---------------
# Loss Constraint
# ---------------
loss_constraints = {}
endDevicePositions = {}
model.loss_constraint = pyomo.ConstraintList()
for gateway in model.M:
for position in model.P:
gw_p = [gateway_positions[position].x, gateway_positions[position].y, gateway_positions[position].z]
for device in model.K:
ed_p = [end_device_positions[device].x, end_device_positions[device].y, end_device_positions[device].z]
endDevicePositions[device] = Position(end_device_positions[device].x, end_device_positions[device].y, end_device_positions[device].z)
distance = math.sqrt((gw_p[0] - ed_p[0])**2 + (gw_p[1] - ed_p[1])**2 + (gw_p[2] - ed_p[2])**2)/referenceDistance
for config in model.C:
pathLoss = 0.0
if distance > referenceDistance:
pathLoss = 10 * attenuationExponent * math.log10(distance/referenceDistance)
model.loss_constraint.add(model.x[gateway, position, device, config] *
(configurations[config].tp - referencePrx - pathLoss)
>= sensitivity[configurations[config].sf])
# model.ceil4_lower_bound = pyomo.ConstraintList()
# model.ceil4_higher_bound = pyomo.ConstraintList()
# for position in model.P:
# for sf in spreading_factors:
# ceil_expr = (sum(
# model.x[gateway, position, device, config]
# for gateway in model.M
# for device in model.K
# for config in model.C
# if configurations[config].sf == sf
# ) - 1) / len(model.K)
# model.ceil4_lower_bound.add(model.ceil4[gateway, sf] - ceil_expr >= 0.0)
# model.ceil4_higher_bound.add(model.ceil4[gateway, sf] - ceil_expr <= 1.0 - (1 / len(model.K)))
# for device in model.K:
# expression = sum(
# model.x[gateway, position, device, config] * (
# # PLR'
# (0 if config in plr1[(device, position)] else 1) +
# # PLR''
# (1 - pyomo.exp(-2 * TRANSMISSION_PROBABILITY *
# # d_{k,m}
# (PACKET_SIZE / (
# configurations[config].sf * gateways[gateway].bandwidths[slice] /
# (2 ** configurations[config].sf)
# )) *
# # number of devices using the same SF
# sum(
# model.x[plr3_gateway, position, plr3_device, plr3_config]
# for plr3_gateway in model.M
# for plr3_device in model.K
# for plr3_config in model.C
# if configurations[plr3_config].sf == configurations[config].sf
# )
# )) +
# # PLR'''
# model.ceil4[gateway, configurations[config].sf]
# )
# for gateway in model.M
# for config in model.C
# )
# # model.loss_constraint.add(expression <= LOSS_HIGHER_BOUND)
# loss_constraints[(position, device)] = expression
# ---------------
# Solution
# ---------------
startSolv = timer()
opt = pyomo.SolverFactory('scip')
result = opt.solve(model, options={'limits/time':1800}, tee=True)
# logging.basicConfig(level=logging.DEBUG, encoding='utf-8')
# print("------------------------ INFEASIBILITY ------------------------")
# log_infeasible_constraints(model)
startPos = timer()
gatewaysPositions = "id,x,y,z\n"
devicesConfigurations = "device,sf,tp\n"
uniqueGatewayPositions = []
deviceGatewayAssociation = {}
devicesPerSF = {7: 0, 8: 0, 9: 0, 10: 0, 11: 0, 12: 0}
for key in model.x:
if model.x[key].value > 10**(-6):
print('drone={}, {}, device={}, {} -> {}'.format(key[0], gateway_positions[key[1]],
key[2], configurations[key[3]],
model.x[key].value))
deviceGatewayAssociation[key[2]] = key[1]
devicesPerSF[configurations[key[3]].sf] += 1
gatewayPosition = gateway_positions[key[1]]
if gatewayPosition not in uniqueGatewayPositions:
gatewaysPositions += str(str(key[1]) + "," + str(gatewayPosition.x) + ","
+ str(gatewayPosition.y) + "," + str(gatewayPosition.z) + "\n")
uniqueGatewayPositions.append(gatewayPosition)
devicesConfigurations += str(key[2]) + "," + str(configurations[key[3]].sf) + "," + str(configurations[key[3]].tp) + "\n"
for key in model.ceil1:
if model.ceil1[key].value != 0:
print(str(model.ceil1[key]), ' -> ', model.ceil1[key].value)
for key in model.ceil2:
if model.ceil1[key].value != 0:
print(str(model.ceil2[key]), ' -> ', model.ceil2[key].value)
for key in model.ceil3:
if model.ceil1[key].value != 0:
print(str(model.ceil3[key]), ' -> ', model.ceil3[key].value)
for key in model.ceil4:
if model.ceil4[key].value != 0:
print(str(model.ceil4[key]), ' -> ', model.ceil4[key].value)
# lossResults = ""
# for gateway, expr in loss_constraints.items():
# if pyomo.value(expr) != 0:
# print('Loss Constraint (GatewayPosition={}, Device={}) -> '.format(gateway[0], gateway[1]), pyomo.value(expr))
# lossResults += str(gateway[0]) + " " + str(gateway[1]) + " " + str(pyomo.value(expr)) + "\n"
qosResults = "gateway,device,qos,datarate,delay\n"
for key in qos_expressions.keys():
qosResults += str(str(deviceGatewayAssociation[key[1]]) + "," + str(key[1]) + ","
+ str(pyomo.value(qos_expressions[key])) + ","
+ str(pyomo.value(qos_datarate_expressions[key])) + ","
+ str(pyomo.value(qos_delay_expressions[key])) + "\n")
devicePositions = "device,x,y,z\n"
for key in endDevicePositions.keys():
position = endDevicePositions[key]
devicePositions += str(str(key) + "," + str(position.x) + ","
+ str(position.y) + "," + str(position.z) + "\n")
solutions = str(str(args.seed) + "," + str(args.nGat) + "," + str(args.nDev) + "," + str(result.solver.time) + ","
+ str(pyomo.value(model.OBJECTIVE)) + "," + str(result.solver.gap) + ",-1.0,"
+ str(len(uniqueGatewayPositions)) + "," + str(devicesPerSF[7]) + "," + str(devicesPerSF[8]) + ","
+ str(devicesPerSF[9]) + "," + str(devicesPerSF[10]) + "," + str(devicesPerSF[11]) + "," + str(devicesPerSF[12]) + "\n")
fileGwPlacement = str(path_output + prefix + "_Placement_" + str(args.seed) + "s_"
+ str(args.nGat) + "x" + str(args.nPla) +"Gv_" + str(args.nDev) + "D.dat")
with open(fileGwPlacement, "w+") as outfile:
outfile.write(gatewaysPositions)
fileDevicePlacement = str(path_output + prefix + "_DevicePlacement_" + str(args.seed) + "s_"
+ str(args.nGat) + "x" + str(args.nPla) +"Gv_" + str(args.nDev) + "D.dat")
with open(fileDevicePlacement, "w+") as outfile:
outfile.write(devicePositions)
fileCfgPlacement = str(path_output + prefix + "_DevicesConfigurations_" + str(args.seed) + "s_"
+ str(args.nGat) + "x" + str(args.nPla) +"Gv_" + str(args.nDev) + "D.dat")
with open(fileCfgPlacement, "w+") as outfile:
outfile.write(devicesConfigurations)
fileQoS = str(path_output + prefix + "_QoSResults_" + str(args.seed) + "s_"
+ str(args.nGat) + "x" + str(args.nPla) +"Gv_" + str(args.nDev) + "D.dat")
with open(fileQoS, "w+") as outfile:
outfile.write(qosResults)
fileSolutions = str(path_output + prefix + "_solutions.dat")
if os.path.isfile(fileSolutions):
with open(fileSolutions, "a+") as outfile:
outfile.write(solutions)
else:
with open(fileSolutions, "w+") as outfile:
outfile.write("seed,numVirtualPositions,numDevices,solveTime,objective,gap,maxConfigurations,numUAVs,sf7,sf8,sf9,sf10,sf11,sf12\n")
outfile.write(solutions)
#DEBUG Output filenames
if DEBUG:
print(fileGwPlacement)
print(fileCfgPlacement)
print(fileQoS)
endPos = timer()
print("Obj: " + str(pyomo.value(model.OBJECTIVE)))
print('Pre processing elapsed time:' + str(startSolv - startPre) + 'sec')
print('Processing elapsed time:' + str(startPos - startSolv) + 'sec')
print('Pre processing elapsed time:' + str(endPos - startPos) + 'sec')
print('Elapsed time:' + str(endPos - startPre) + 'sec')
os.system("date")