| import gradio as gr |
| import pandas as pd |
| import numpy as np |
| import json |
| from io import StringIO |
|
|
|
|
| def dynamic_huff_model(df_distances, df_attractiveness, alpha, beta, df_capacity, df_population=None, iterations=5, crowding_threshold=1.0): |
| """ |
| Iteratively calculates the distribution of people/visitors to destinations considering capacity and crowding based on an extended Huff model with linear decay function. |
| |
| Parameters: |
| - df_distances, df_attractiveness, alpha, beta, df_capacity, df_population are the same as before. |
| - iterations (int): The number of iterations to distribute the population. |
| - crowding_threshold (float): The ratio of current visitors to capacity at which the decay of attractiveness starts. |
| |
| Returns: |
| - pd.DataFrame: A DataFrame with the final distribution of visitors to each destination. |
| """ |
| if df_population is None: |
| df_population = pd.Series(np.ones(df_distances.shape[0]), index=df_distances.index) |
|
|
| |
| df_visitors = pd.DataFrame(0, index=df_distances.index, columns=df_distances.columns) |
| |
| |
| df_population_per_iteration = df_population / iterations |
|
|
| |
| for _ in range(int(iterations)): |
| attractiveness = df_attractiveness.copy() |
| current_visitors = df_visitors.sum(axis=0) |
| |
| |
| relative_crowding = current_visitors / df_capacity |
| decay_factor = np.where(relative_crowding < crowding_threshold, 1, 1 - (relative_crowding - crowding_threshold) / (1 - crowding_threshold)) |
| attractiveness *= decay_factor |
| |
| |
| distance_term = df_distances ** -beta |
| numerator = (attractiveness ** alpha).multiply(distance_term, axis='columns') |
| denominator = numerator.sum(axis='columns') |
| probabilities = numerator.div(denominator, axis='index').fillna(0) |
| |
| |
| visitors_this_iteration = probabilities.multiply(df_population_per_iteration, axis='index') |
| |
| |
| potential_new_visitors = df_visitors + visitors_this_iteration |
| excess_visitors = potential_new_visitors.sum(axis=0) - df_capacity |
| excess_visitors[excess_visitors < 0] = 0 |
| visitors_this_iteration -= visitors_this_iteration.multiply(excess_visitors, axis='columns') / visitors_this_iteration.sum(axis=0) |
| |
| df_visitors += visitors_this_iteration |
|
|
| |
| return df_visitors |
|
|
| def app_function(input_json): |
| |
| inputs = json.loads(input_json) |
| |
| |
| df_distances = pd.DataFrame(inputs["df_distances"]) |
| |
| |
| df_attractiveness = pd.Series(inputs["df_attractiveness"]) |
| alpha = inputs["alpha"] |
| beta = inputs["beta"] |
| df_capacity = pd.Series(inputs["df_capacity"]) |
| |
| |
| df_population = pd.Series(inputs["df_population"]) if "df_population" in inputs else None |
| |
| iterations = inputs.get("iterations", 5) |
| crowding_threshold = inputs.get("crowding_threshold", 1.0) |
| |
| |
| result = dynamic_huff_model(df_distances, df_attractiveness, alpha, beta, df_capacity, df_population, iterations, crowding_threshold) |
| |
| |
| return result.to_json(orient='split') |
|
|
| |
| iface = gr.Interface( |
| fn=app_function, |
| inputs=gr.Textbox(label="Input JSON", lines=20, placeholder="Enter JSON with all parameters here..."), |
| outputs=gr.JSON(label="Output JSON"), |
| title="Dynamic Huff Model" |
| ) |
|
|
| iface.launch() |