diff --git a/src/pix_framework/discovery/gateway_probabilities.py b/src/pix_framework/discovery/gateway_probabilities.py index 37a4ae1..6b0f06d 100644 --- a/src/pix_framework/discovery/gateway_probabilities.py +++ b/src/pix_framework/discovery/gateway_probabilities.py @@ -123,6 +123,10 @@ def discover_gateway_probabilities(bpmn_graph: BPMNGraph, event_log: pd.DataFram bpmn_graph.replay_trace(trace, arcs_frequencies) + for x in arcs_frequencies: + if arcs_frequencies[x] < 0: + print('hola') + gateway_probabilities = bpmn_graph.discover_gateway_probabilities(arcs_frequencies) return gateway_probabilities diff --git a/src/pix_framework/discovery/probabilistic_multitasking/__init__.py b/src/pix_framework/discovery/probabilistic_multitasking/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/src/pix_framework/discovery/probabilistic_multitasking/discovery.py b/src/pix_framework/discovery/probabilistic_multitasking/discovery.py new file mode 100644 index 0000000..2479229 --- /dev/null +++ b/src/pix_framework/discovery/probabilistic_multitasking/discovery.py @@ -0,0 +1,230 @@ +from datetime import datetime, timedelta +from enum import Enum + +import pandas as pd + + +class MultiType(Enum): + GLOBAL = 1 + LOCAL = 2 + + +class MultitaskInfo: + def __init__(self): + self.total_tasks = 0 + self.multitask_freq = dict() + self.max_multitask = 0 + + def check_started_event(self, current_active_events_count: int, tasks_count: int = 1): + if current_active_events_count not in self.multitask_freq: + self.multitask_freq[current_active_events_count] = 0 + self.multitask_freq[current_active_events_count] += 1 + self.max_multitask = max(self.max_multitask, current_active_events_count) + self.total_tasks += tasks_count + + +class GranuleMultitaskInfo: + def __init__(self, i_size: int = 60): + self.i_size = i_size + self.granularity_info = self.init_weekly_granules() + + def init_weekly_granules(self): + weekly_interval_info = dict() + for wd in range(0, 7): + weekly_interval_info[wd] = [MultitaskInfo() for _ in range(1440 // self.i_size)] + return weekly_interval_info + + def check_granule(self, wd, gr, parallel_events_count): + self.granularity_info[wd][gr].check_started_event(parallel_events_count, parallel_events_count) + + def set_total(self, wd, gr, total_tasks): + self.granularity_info[wd][gr].total_tasks = total_tasks + + +# class IntervalMultiTask: +# def __init__(self, i_size=60): +# self.i_size = i_size +# self.interval_freq = self.init_weekly_intervals(True) +# self.max_interval_freq = self.init_weekly_intervals(True) +# self.multi_interval_freq = self.init_weekly_intervals(False) +# +# def init_weekly_intervals(self, is_total): +# weekly_interval_freq = {} +# for i in range(0, 7): +# if is_total: +# weekly_interval_freq[i] = [0] * (1440 // self.i_size) +# else: +# weekly_interval_freq[i] = [dict() for _ in range(1440 // self.i_size)] +# return weekly_interval_freq +# +# def check_granule(self, wd, gr, freq): +# self.interval_freq[wd][gr] += 1 +# if freq not in self.multi_interval_freq[wd][gr]: +# self.multi_interval_freq[wd][gr][freq] = 0 +# self.multi_interval_freq[wd][gr][freq] += 1 +# self.max_interval_freq[wd][gr] = max(self.max_interval_freq[wd][gr], freq) +# +# def temporal_check_valid_frequencies(self): +# for wd in self.interval_freq: +# for gr in range(0, len(self.interval_freq[wd])): +# cumul = 0 +# for simul in self.multi_interval_freq[wd][gr]: +# cumul += self.multi_interval_freq[wd][gr][simul] +# if cumul != self.interval_freq[wd][gr]: +# return False +# return True + + +def calculate_multitasking(event_log: pd.DataFrame, m_type: MultiType = MultiType.GLOBAL, i_size: int = 60): + workloads = (event_log['resource'].value_counts() / len(event_log)).to_dict() + return (_calculate_global_staircase_probabilities(event_log), workloads) if m_type == MultiType.GLOBAL \ + else (_calculate_local_staircase_probabilities(event_log, i_size), workloads) + + +def _calculate_global_staircase_probabilities(event_log: pd.DataFrame): + resource_multitask_info = _calculate_task_intersections(event_log) + multitask_probabilities = dict() + + for resource in resource_multitask_info: + multitask_info = resource_multitask_info[resource] + + multitask_probabilities[resource] = _calculate_decrease_probability(multitask_info.max_multitask, + multitask_info.multitask_freq, + multitask_info.total_tasks) + return multitask_probabilities + + +def _calculate_local_staircase_probabilities(event_log: pd.DataFrame, i_size: int = 60): + resource_multitask_info = _calculate_interval_intersection(event_log, i_size) + probabilities = dict() + + for resource in resource_multitask_info: + multi_inf = resource_multitask_info[resource] + probabilities[resource] = _init_local_probability_intervals(i_size) + + for wd in range(0, 7): + for gr in range(0, len(multi_inf.granularity_info[wd])): + r_info = multi_inf.granularity_info[wd][gr] + probabilities[resource][wd][gr] = _calculate_decrease_probability(r_info.max_multitask, + r_info.multitask_freq, + r_info.total_tasks, + True) + return probabilities + + +def _calculate_decrease_probability(max_freq: int, obs_freq: dict, total_obs: int, is_local: bool = False): + result = [0.0] * (max_freq + 1) + cumul_freq = 0 + for n in range(max_freq, 0, -1): + mult = n if is_local else 1 + cumul_freq += obs_freq[n] * mult if n in obs_freq else 0 + result[n] = cumul_freq / total_obs if total_obs > 0 else 0.0 + return result + + +def _init_local_probability_intervals(i_size: int): + gr_multitask = dict() + for wd in range(0, 7): + gr_multitask[wd] = _day_granules(i_size) + return gr_multitask + + +def _calculate_task_intersections(event_log: pd.DataFrame): + resource_multitask_info = dict() + for resource, group in event_log.groupby('resource'): + resource_multitask_info[resource] = MultitaskInfo() + events = [] + + for index, row in group.iterrows(): + events.append((row['start_time'], 'start', index)) + events.append((row['end_time'], 'end', index)) + + # Sort the events by time + events.sort(key=lambda x: x[0]) + + active_tasks = set() + for time, event_type, index in events: + if event_type == 'start': + active_tasks.add(index) + resource_multitask_info[resource].check_started_event(len(active_tasks)) + else: + active_tasks.remove(index) + + return resource_multitask_info + + +def _calculate_interval_intersection(event_log: pd.DataFrame, i_size): + resource_multitask_info = dict() + for resource, group in event_log.groupby('resource'): + daily_freqs = dict() + weekday_freqs = _init_weekly_freq(i_size) + to_weekday = dict() + for index, row in group.iterrows(): + _update_day_intervals(daily_freqs, weekday_freqs, to_weekday, + pd.to_datetime(row['start_time']), pd.to_datetime(row['end_time']), i_size) + + resource_multitask_info[resource] = _compute_weekly_freqs(daily_freqs, weekday_freqs, to_weekday, i_size) + return resource_multitask_info + + +def _update_day_intervals(daily_freqs, weekday_freqs, to_weekday, start_dt, end_dt, i_size): + c_dt = start_dt + max_grl = _total_day_granules(i_size) + c_grl = _current_granule(c_dt, i_size) + + while c_dt <= end_dt: + date_str = str(c_dt.date()) + wd = c_dt.weekday() + if date_str not in daily_freqs: + daily_freqs[date_str] = _day_granules(i_size) + to_weekday[date_str] = wd + + daily_freqs[date_str][c_grl] += 1 + weekday_freqs[wd][c_grl] += 1 + + c_dt += timedelta(minutes=i_size) + c_grl = (c_grl + 1) % max_grl + + +def _compute_weekly_freqs(daily_freqs: dict, weekday_freqs: dict, to_weekday: dict, i_size: int): + interval_multitask = GranuleMultitaskInfo(i_size) + + for day_str in daily_freqs: + wd = to_weekday[day_str] + for gr in range(0, len(daily_freqs[day_str])): + interval_multitask.check_granule(wd, gr, daily_freqs[day_str][gr]) + # # For testing remove, it seems it is correct, the error must be in the calculation of probabilities + # for wd in range(0, 7): + # to_check = interval_multitask.granularity_info[wd] + # for gr in range(0, 24): + # cumul = 0 + # for fr in to_check[gr].multitask_freq: + # cumul += fr * to_check[gr].multitask_freq[fr] + # if cumul != to_check[gr].total_tasks: + # print("hola") + + # for wd in weekday_freqs: + # for gr in range(0, len(weekday_freqs[wd])): + # interval_multitask.set_total(wd, gr, weekday_freqs[wd][gr]) + return interval_multitask + + +def _current_granule(dt: datetime, i_size: int): + return (60 * dt.hour + dt.minute) // i_size + + +def _day_granules(i_size: int): + return [0] * (1440 // i_size) + + +def _total_day_granules(i_size: int): + return 1440 // i_size + + +def _init_weekly_freq(i_size): + weekly_freq = dict() + for wd in range(0, 7): + weekly_freq[wd] = [0] * (1440 // i_size) + return weekly_freq + + diff --git a/src/pix_framework/discovery/probabilistic_multitasking/model_serialization.py b/src/pix_framework/discovery/probabilistic_multitasking/model_serialization.py new file mode 100644 index 0000000..eec18fa --- /dev/null +++ b/src/pix_framework/discovery/probabilistic_multitasking/model_serialization.py @@ -0,0 +1,91 @@ +import datetime +import json + +weekday_str = ["MONDAY", "TUESDAY", "WEDNESDAY", "THURSDAY", "FRIDAY", "SATURDAY", "SUNDAY"] + + +def multitasking_to_prosimos(res_multitasks: dict, workloads: dict, is_local: bool): + multitask_probability = [] + if is_local: + for res in res_multitasks: + multitask_probability.append({ + "resource_id": res, + "r_workload": workloads[res], + "weekly_probability": _format_weekly_granules(res_multitasks[res]) + }) + return { + "type": "local", + "values": multitask_probability + } + + else: + for res in res_multitasks: + multitask_probability.append({ + "resource_id": res, + "r_workload": workloads[res], + "multitask_info": _multitasking_probabilities(res_multitasks[res]) + }) + return { + "type": "global", + "values": multitask_probability + } + + +def _format_weekly_granules(weekly_multi: dict): + weekly_granularity = [] + for wd in weekly_multi: + weekly_granularity.append(_format_weekday(wd, weekly_multi[wd])) + return weekly_granularity + + +def _format_weekday(wd: int, granules: dict): + result = [] + duration = 1440 // len(granules) + current_time = datetime.time(0, 0, 0) + for gr in granules: + hour, minute = divmod(current_time.hour * 60 + current_time.minute + duration, 60) + if hour == 24: + hour = 0 + next_time = datetime.time(hour, minute) + if len(gr) > 1: + result.append({ + "from": weekday_str[wd], + "to": weekday_str[wd], + "beginTime": str(current_time), + "endTime": str(next_time), + "multitask_info": _multitasking_probabilities(gr) + }) + current_time = next_time + return result + + +def _multitasking_probabilities(task_prob): + probabilities = [] + for i in range(1, len(task_prob)): + probabilities.append({ + "parallel_tasks": i, + "probability": task_prob[i] + }) + return probabilities + + +def extend_prosimos_json(in_json_file_path, out_json_file_path, res_multitasks: dict, workloads: dict, is_local: bool): + try: + with open(in_json_file_path, 'r') as file: + simulation_params = json.load(file) + except FileNotFoundError: + # If the file doesn't exist, start with an empty dictionary or list + simulation_params = {} + json_multitask = multitasking_to_prosimos(res_multitasks, workloads, is_local) + simulation_params.update({"multitask": json_multitask}) + + # Write the updated data back to the file + with open(out_json_file_path, 'w') as file: + json.dump(simulation_params, file, indent=4) + + + + + + + diff --git a/src/pix_framework/enhancement/concurrency_oracle.py b/src/pix_framework/enhancement/concurrency_oracle.py index 7014e26..73e3070 100644 --- a/src/pix_framework/enhancement/concurrency_oracle.py +++ b/src/pix_framework/enhancement/concurrency_oracle.py @@ -118,7 +118,7 @@ def add_enabled_times( if include_enabling_activity: event_log.loc[indexes, self.log_ids.enabling_activity] = enabling_activities event_log.loc[indexes, self.log_ids.enabled_time] = enabled_times - event_log[self.log_ids.enabled_time] = pd.to_datetime(event_log[self.log_ids.enabled_time], utc=True) + event_log[self.log_ids.enabled_time] = pd.to_datetime(event_log[self.log_ids.enabled_time], utc=True, format='ISO8601') class DeactivatedConcurrencyOracle(ConcurrencyOracle): diff --git a/src/pix_framework/io/bpm_graph.py b/src/pix_framework/io/bpm_graph.py index e4426e4..d5c934f 100644 --- a/src/pix_framework/io/bpm_graph.py +++ b/src/pix_framework/io/bpm_graph.py @@ -773,7 +773,7 @@ def discover_gateway_probabilities(self, flow_arcs_frequency): flow_arcs_probability, total_frequency, ) = self._calculate_arcs_probabilities(e_id, flow_arcs_frequency) - # recalculate not only pure zeros, but also low probabilities + # recalculate not only pure zeros, but also low probabilities --- PONER ESTO DE REGRESO if min(flow_arcs_probability.values()) <= 0.005: self._recalculate_arcs_probabilities(flow_arcs_frequency, flow_arcs_probability, total_frequency) self._check_probabilities(flow_arcs_probability) @@ -806,18 +806,19 @@ def _recalculate_arcs_probabilities(flow_arcs_frequency, flow_arcs_probability, probability = 1.0 / float(number_of_invalid_arcs) for flow_id in flow_arcs_probability: flow_arcs_probability[flow_id] = probability - else: # otherwise, we set min_probability instead of zero and balance probabilities for valid arcs - valid_probabilities = arcs_probabilities[arcs_probabilities > valid_probability_threshold].sum() - extra_probability = (number_of_invalid_arcs * min_probability) - (1.0 - valid_probabilities) - extra_probability_per_valid_arc = extra_probability / number_of_valid_arcs - for flow_id in flow_arcs_probability: - if flow_arcs_probability[flow_id] <= valid_probability_threshold: - # enforcing the minimum possible probability - probability = min_probability - else: - # balancing valid probabilities - probability = flow_arcs_probability[flow_id] - extra_probability_per_valid_arc - flow_arcs_probability[flow_id] = probability + # FIX THIS CORRECTION BECAUSE IT MAY LEAD TO NEGATIVE PROBABILITIES + # else: # otherwise, we set min_probability instead of zero and balance probabilities for valid arcs + # valid_probabilities = arcs_probabilities[arcs_probabilities > valid_probability_threshold].sum() + # extra_probability = (number_of_invalid_arcs * min_probability) - (1.0 - valid_probabilities) + # extra_probability_per_valid_arc = extra_probability / number_of_valid_arcs + # for flow_id in flow_arcs_probability: + # if flow_arcs_probability[flow_id] <= valid_probability_threshold: + # # enforcing the minimum possible probability + # probability = min_probability + # else: + # # balancing valid probabilities + # probability = flow_arcs_probability[flow_id] - extra_probability_per_valid_arc + # flow_arcs_probability[flow_id] = probability @staticmethod def _check_probabilities(flow_arcs_probability): diff --git a/src/pix_framework/statistics/distribution.py b/src/pix_framework/statistics/distribution.py index 23b4661..531387f 100644 --- a/src/pix_framework/statistics/distribution.py +++ b/src/pix_framework/statistics/distribution.py @@ -301,7 +301,6 @@ def from_dict(distribution_dict: dict) -> "DurationDistribution": minimum=float(distr_params[2]["value"]), maximum=float(distr_params[3]["value"]), ) - return distribution def __str__(self): @@ -348,8 +347,8 @@ def get_best_fitting_distribution( ] if mean != 0: dist_candidates += [DurationDistribution("lognorm", mean, var, std, d_min, d_max)] - if var != 0: - dist_candidates += [DurationDistribution("gamma", mean, var, std, d_min, d_max)] + # if var != 0: + # dist_candidates += [DurationDistribution("gamma", mean, var, std, d_min, d_max)] # Search for the best one within the candidates best_distribution = None best_emd = sys.float_info.max diff --git a/tests/pix_framework/assets/multitasking/sequential.csv b/tests/pix_framework/assets/multitasking/sequential.csv new file mode 100644 index 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a/tests/pix_framework/probabilistic_multitasking/multitask_log_generator.py b/tests/pix_framework/probabilistic_multitasking/multitask_log_generator.py new file mode 100644 index 0000000..57dd4ca --- /dev/null +++ b/tests/pix_framework/probabilistic_multitasking/multitask_log_generator.py @@ -0,0 +1,157 @@ +import random +import csv +from datetime import datetime, timedelta +from pathlib import Path + +assets_dir = Path(__file__).parent.parent / "assets/multitasking" + + +def is_within_working_hours(c_time: datetime): + """ Check if the given time is within working hours. """ + morning_start = c_time.replace(hour=8, minute=0, second=0, microsecond=0) + morning_end = c_time.replace(hour=12, minute=0, second=0, microsecond=0) + afternoon_start = c_time.replace(hour=13, minute=0, second=0, microsecond=0) + afternoon_end = c_time.replace(hour=17, minute=0, second=0, microsecond=0) + + return morning_start <= c_time < morning_end or afternoon_start <= c_time < afternoon_end + + +def next_working_time(c_time): + """ Return the next start time of a working period. """ + if c_time.weekday() >= 5: # Saturday or Sunday + # Move to next Monday + c_time += timedelta(days=(7 - c_time.weekday())) + return c_time.replace(hour=8, minute=0, second=0, microsecond=0) + + # During weekday + morning_end = c_time.replace(hour=12, minute=0, second=0, microsecond=0) + afternoon_end = c_time.replace(hour=17, minute=0, second=0, microsecond=0) + + if c_time < morning_end: + return c_time.replace(hour=13, minute=0, second=0, microsecond=0) + elif c_time < afternoon_end: + # Move to next day + return c_time.replace(hour=8, minute=0, second=0, microsecond=0) + timedelta(days=1) + else: + # Move to next day + return c_time.replace(hour=8, minute=0, second=0, microsecond=0) + timedelta( + days=(1 if c_time.weekday() < 4 else 3)) + + +def generate_sequence_process_log(r_count: int, + t_count: int, + t_duration: float, + p_cases_count: int, + inter_arrival_time: float, + out_log_file_path: Path): + # Initialize the event log + event_log = [] + + # Create a list of tasks + tasks = ["Task_" + str(i) for i in range(1, t_count + 1)] + + # Starting time for the first task (assuming starting on a Monday at 8:00) + c_case_start_time = datetime.now().replace(hour=8, minute=0, second=0, microsecond=0, day=1) + if c_case_start_time.weekday() != 0: + c_case_start_time += timedelta(days=(7 - c_case_start_time.weekday())) + + # Assign tasks to resources and process instances sequentially + p_case = 1 + while p_case <= p_cases_count: + start_time = c_case_start_time + for task_id in tasks: + resource_id = "Resource_" + str(random.randint(1, r_count)) # Assign a random resource + + # If current time is outside working hours, move to next working time (not necessary - just double check) + if not is_within_working_hours(start_time): + start_time = next_working_time(start_time) + + # Calculate end time for the task + end_time = start_time + timedelta(minutes=t_duration) + # If end time is outside working hours, adjust end time and start time of next task + if not is_within_working_hours(end_time) or end_time.day != start_time.day: + start_time = next_working_time(start_time) + end_time = start_time + timedelta(minutes=t_duration) + + # Log entry for the task + event_log.append({ + 'case_id': p_case, + 'activity': task_id, + 'resource': resource_id, + 'start_time': start_time.strftime("%Y-%m-%d %H:%M:%S"), + 'end_time': end_time.strftime("%Y-%m-%d %H:%M:%S") + }) + start_time = end_time + + # Update start time for the next process instance + c_case_start_time = c_case_start_time + timedelta(minutes=inter_arrival_time) + if not is_within_working_hours(c_case_start_time): + c_case_start_time = next_working_time(c_case_start_time) + p_case += 1 + + # Write to CSV file + with open(out_log_file_path, 'w', newline='') as file: + f_writer = csv.DictWriter(file, fieldnames=['case_id', 'activity', 'resource', 'start_time', 'end_time']) + f_writer.writeheader() + for t_case in event_log: + f_writer.writerow(t_case) + + +def parse_datetime(datetime_str): + return datetime.strptime(datetime_str, "%Y-%m-%d %H:%M:%S") + + +def calculate_parallel_tasks(csv_file_path: Path): + tasks_by_resource = {} + + # Read and parse the event log + with open(csv_file_path, 'r') as file: + reader = csv.DictReader(file) + for row in reader: + resource = row['resource'] + start_time = parse_datetime(row['start_time']) + end_time = parse_datetime(row['end_time']) + + if resource not in tasks_by_resource: + tasks_by_resource[resource] = [] + + tasks_by_resource[resource].append((start_time, end_time)) + + # Calculate max and min parallel tasks for each resource + parallel_tasks_stats = {} + for resource, tasks in tasks_by_resource.items(): + # Sort tasks by start time + tasks.sort(key=lambda x: x[0]) + + # List to track parallel tasks + parallel_tasks = [] + + # Track max and min values + max_parallel = 0 + min_parallel = float('inf') + + for task in tasks: + start, end = task + # Remove tasks that ended before the current task's start time + parallel_tasks = [t for t in parallel_tasks if t[1] > start] + + # Add the current task + parallel_tasks.append(task) + + # Update max and min counts + max_parallel = max(max_parallel, len(parallel_tasks)) + min_parallel = min(min_parallel, len(parallel_tasks)) + + parallel_tasks_stats[resource] = {'max': max_parallel, 'min': min_parallel} + + return parallel_tasks_stats + + +def main(): + generate_sequence_process_log(5, 7, 240, 1000, 30, assets_dir / "sequential.csv") + parallel_tasks_stats = calculate_parallel_tasks(assets_dir / "sequential.csv") + print(parallel_tasks_stats) + + +if __name__ == "__main__": + main() diff --git a/tests/pix_framework/probabilistic_multitasking/test_discovery.py b/tests/pix_framework/probabilistic_multitasking/test_discovery.py new file mode 100644 index 0000000..39ebd38 --- /dev/null +++ b/tests/pix_framework/probabilistic_multitasking/test_discovery.py @@ -0,0 +1,63 @@ +from pathlib import Path +import pandas as pd + +from pix_framework.discovery.probabilistic_multitasking.discovery import calculate_multitasking, MultiType +from pix_framework.discovery.probabilistic_multitasking.model_serialization import extend_prosimos_json +from pix_framework.io.event_log import DEFAULT_CSV_IDS + +assets_dir = Path(__file__).parent.parent / "assets/multitasking" + + +class BreakAllLoops(Exception): + pass + + +def test_discover_global_multitasking(): + # event_log = pd.read_csv(assets_dir / "Application_to_Approval_Government_Agency.csv") + probabilities = calculate_multitasking(pd.read_csv(assets_dir / "sequential.csv")) + + valid_p = True + p_resources = probabilities[0] + for resource in p_resources: + assert p_resources[resource][1] == 1.0 + for p in p_resources[resource]: + if p > 1.0: + valid_p = False + break + if not valid_p: + break + + assert valid_p + + # extend_prosimos_json(assets_dir / "sequential.json", assets_dir / "sequential.json", probabilities, False) + + +def test_discover_local_multitasking(): + probabilities = calculate_multitasking(pd.read_csv(assets_dir / "sequential.csv"), + MultiType.LOCAL, 60) + valid_p = True + try: + p_resources = probabilities[0] + for resource in p_resources: + for wd in p_resources[resource]: + for gr_list in p_resources[resource][wd]: + for p in gr_list: + if p > 1.0: + raise BreakAllLoops + except BreakAllLoops: + assert False + assert valid_p + # extend_prosimos_json(assets_dir / "sequential.json", probabilities, True) + + + + + + +def _read_event_log(log_path: Path): + event_log = pd.read_csv(log_path) + if DEFAULT_CSV_IDS.enabled_time in event_log: + event_log[DEFAULT_CSV_IDS.enabled_time] = pd.to_datetime(event_log[DEFAULT_CSV_IDS.enabled_time], utc=True) + event_log[DEFAULT_CSV_IDS.start_time] = pd.to_datetime(event_log[DEFAULT_CSV_IDS.start_time], utc=True) + event_log[DEFAULT_CSV_IDS.end_time] = pd.to_datetime(event_log[DEFAULT_CSV_IDS.end_time], utc=True) + return event_log