From 50077290d0d9ebe810dd524f07c5942e1743dc16 Mon Sep 17 00:00:00 2001 From: "Krzysztof R." Date: Wed, 24 Jan 2024 22:53:14 +0100 Subject: [PATCH] feat: finished mom 3 --- NotProgramming/MOM/report_three/model.py | 166 ++++++--------- .../MOM/report_three/report_three.pdf | Bin 185959 -> 198400 bytes .../MOM/report_three/report_three.tex | 192 +++++++++++++----- 3 files changed, 206 insertions(+), 152 deletions(-) diff --git a/NotProgramming/MOM/report_three/model.py b/NotProgramming/MOM/report_three/model.py index caa5f941..441ab27f 100644 --- a/NotProgramming/MOM/report_three/model.py +++ b/NotProgramming/MOM/report_three/model.py @@ -1,144 +1,98 @@ import pulp -import matplotlib.pyplot as plt import sys # Create a problem variable: model = pulp.LpProblem("Optimal_Distribution", pulp.LpMinimize) -# Define providers (Factories and Warehouses) -factories = ['F1', 'F2'] -warehouses = ['M1', 'M2', 'M3', 'M4'] -providers = factories + warehouses # Combining both lists - -# Define customers -customers = ['K1', 'K2', 'K3', 'K4', 'K5', 'K6'] - -cost = { - 'F1': {'M1': 0.3, 'M2': 0.5, 'M3': 1.2, 'M4': 0.8, 'K1': 1.2, 'K2': 999, 'K3': 1.2, 'K4': 2.0, 'K5': 999, 'K6': 1.1}, - 'F2': {'M1': 999, 'M2': 0.4, 'M3': 0.5, 'M4': 0.3, 'K1': 1.8, 'K2': 999, 'K3': 999, 'K4': 999, 'K5': 999, 'K6': 999}, +# Zdefiniowanie dostawcy (fabryki and magazyny) +fabryki = ['F1', 'F2'] +magazyny = ['M1', 'M2', 'M3', 'M4'] +dostawcy = fabryki + magazyny # Combining both lists +# Zdefiniowanie klientów +klienci = ['K1', 'K2', 'K3', 'K4', 'K5', 'K6'] +koszt = { + 'F1': {'M1': 0.3, 'M2': 0.5, 'M3': 1.2, 'M4': 0.8, 'K1': 1.2, 'K2': 999, + 'K3': 1.2, 'K4': 2.0, 'K5': 999, 'K6': 1.1}, + 'F2': {'M1': 999, 'M2': 0.4, 'M3': 0.5, 'M4': 0.3, 'K1': 1.8, 'K2': 999, + 'K3': 999, 'K4': 999, 'K5': 999, 'K6': 999}, 'M1': {'K1': 999, 'K2': 1.2, 'K3': 0.2, 'K4': 1.7, 'K5': 999, 'K6': 2.0}, 'M2': {'K1': 1.4, 'K2': 0.3, 'K3': 1.8, 'K4': 1.3, 'K5': 0.5, 'K6': 999}, 'M3': {'K1': 999, 'K2': 1.3, 'K3': 2.0, 'K4': 999, 'K5': 0.3, 'K6': 1.4}, 'M4': {'K1': 999, 'K2': 999, 'K3': 0.4, 'K4': 2.0, 'K5': 0.5, 'K6': 1.6} } +P = pulp.LpVariable.dicts("P", [(i, j) for i in dostawcy for j in klienci], cat='Binary') +maksymalne_zamowienie = 60 +poziom_satysfakcji = {'K1': 50 / maksymalne_zamowienie, 'K2': 10 / maksymalne_zamowienie, 'K3': 40 / maksymalne_zamowienie, 'K4': 35 / maksymalne_zamowienie, 'K5': 60 / maksymalne_zamowienie, 'K6': 20 / maksymalne_zamowienie} +preferencja_klienta = {'K1': ['F2'], 'K2': ['M1'], 'K3': ['M2', 'M3'], 'K4': ['F1'], 'K5': [], 'K6': ['M3', 'M4']} +suma_satysfakcji = pulp.lpSum([poziom_satysfakcji[j] * P[(i, j)] for i in dostawcy for j in klienci]) -# Decision variables -x = pulp.LpVariable.dicts("x", [(i, j) for i in providers for j in customers], lowBound=0, cat='Integer') -y = pulp.LpVariable.dicts("y", [(i, k) for i in factories for k in warehouses], lowBound=0, cat='Integer') -# Objective function components -cost_distribution = pulp.lpSum([cost[i][j] * x[(i, j)] for i in providers for j in customers]) -cost_warehouse = pulp.lpSum([cost[i][k] * y[(i, k)] for i in factories for k in warehouses]) - +# Zmienne decyzyjne +x = pulp.LpVariable.dicts("x", [(i, j) for i in dostawcy for j in klienci], lowBound=0, cat='Integer') +y = pulp.LpVariable.dicts("y", [(i, k) for i in fabryki for k in magazyny], lowBound=0, cat='Integer') +# Funkcje Celu +koszt_dystrybucji = pulp.lpSum([koszt[i][j] * x[(i, j)] for i in dostawcy for j in klienci]) +koszt_magazynowania = pulp.lpSum([koszt[i][k] * y[(i, k)] for i in fabryki for k in magazyny]) alpha = 0.5 beta = 0.5 -# Binary variables for meeting preferences -P = pulp.LpVariable.dicts("P", [(i, j) for i in providers for j in customers], cat='Binary') -max_order = 60 -satisfaction_scores = {'K1': 50 / max_order, 'K2': 10 / max_order, 'K3': 40 / max_order, 'K4': 35 / max_order, 'K5': 60 / max_order, 'K6': 20 / max_order} -customer_preferences = {'K1': ['F2'], 'K2': ['M1'], 'K3': ['M2', 'M3'], 'K4': ['F1'], 'K5': [], 'K6': ['M3', 'M4']} -# Satisfaction component -satisfaction_component = pulp.lpSum([satisfaction_scores[j] * P[(i, j)] for i in providers for j in customers]) +model += alpha * (koszt_dystrybucji + koszt_magazynowania) - beta * suma_satysfakcji +mozliwosci_fabryki = {'F1': 150, 'F2': 200} +pojemnosc_magazynu = {'M1': 70, 'M2': 50 , 'M3': 100, 'M4': 40 } +zamowienia_klientow = {'K1': 50, 'K2': 10, 'K3': 40, 'K4': 35, 'K5': 60, 'K6': 20} +for i in fabryki: + model += pulp.lpSum([x[(i, j)] for j in klienci] + [y[(i, k)] for k in magazyny]) <= mozliwosci_fabryki[i] -# Define objective -model += alpha * (cost_distribution + cost_warehouse) - beta * satisfaction_component -# Factory production capacity constraints -factory_capacity = {'F1': 150, 'F2': 200} -warehouse_capacity = {'M1': 70, 'M2': 50 , 'M3': 100, 'M4': 40 } -customer_demand = {'K1': 50, 'K2': 10, 'K3': 40, 'K4': 35, 'K5': 60, 'K6': 20} -for i in factories: - model += pulp.lpSum([x[(i, j)] for j in customers] + [y[(i, k)] for k in warehouses]) <= factory_capacity[i] +for k in magazyny: + model += pulp.lpSum([x[(k, j)] for j in klienci]) <= pojemnosc_magazynu[k] -# Warehouse handling capacity constraints -for k in warehouses: - model += pulp.lpSum([x[(k, j)] for j in customers]) <= warehouse_capacity[k] +for j in klienci: + model += pulp.lpSum([x[(i, j)] for i in dostawcy]) == zamowienia_klientow[j] -# Customer demand fulfillment constraints -for j in customers: - model += pulp.lpSum([x[(i, j)] for i in providers]) == customer_demand[j] - -# Other constraints like preferences can be added similarly -# Solve the problem -# Output results +model.solve() for v in model.variables(): print(v.name, "=", v.varValue) -# Assuming definitions of the model as previously discussed -cost_results = [] -satisfaction_results = [] - -# Varying alpha and beta +koszt_wyniki = [] +zadowolenie_wyniki = [] +wyniki_funkcji = [] +maksymalny_wynik = 0; for alpha in range(0, 11): beta = 10 - alpha + sys.float_info.epsilon alpha /= 10.0 beta /= 10.0 # Update objective function - model.objective = alpha * cost_distribution - beta * satisfaction_component + model.objective = alpha * koszt_dystrybucji - beta * suma_satysfakcji # Solve the model model.solve() print(alpha) - # Record the results - - # Record the results - total_cost = pulp.value(cost_distribution) - total_satisfaction = pulp.value(satisfaction_component) - cost_results.append(total_cost) - satisfaction_results.append(total_satisfaction) - -print(cost_results, satisfaction_results) -# Plotting the results -plt.plot(cost_results, satisfaction_results, marker='o') -plt.xlabel('Total Cost') -plt.ylabel('Customer Satisfaction') -plt.title('Trade-off between Cost and Customer Satisfaction') -#plt.show() - -if not cost_results or not satisfaction_results: - raise ValueError("cost_results and/or satisfaction_results are empty") - -# Function to identify non-dominated points -def is_non_dominated(costs, sats, current_index): - for i, (c, s) in enumerate(zip(costs, sats)): - if i != current_index and c <= costs[current_index] and s >= sats[current_index]: - return False - return True - -# Identify Non-Dominated Points -non_dominated = [(c, s) for i, (c, s) in enumerate(zip(cost_results, satisfaction_results)) if is_non_dominated(cost_results, satisfaction_results, i)] - -# Ensure non_dominated is not empty -if not non_dominated: - print("No non-dominated points found. Check the model and data.") -if non_dominated: - # Extract and plot the non-dominated points - cost, satisfaction = zip(*non_dominated) - plt.scatter(cost, satisfaction, color='r') - plt.xlabel('Total Cost') - plt.ylabel('Customer Satisfaction') - plt.title('Pareto Front') - plt.grid(True) - plt.show() + # Record the wyniki + calkowity_koszt = pulp.value(koszt_dystrybucji) + calkowite_zadowolenie = pulp.value(suma_satysfakcji) + wynik_funkcji = pulp.value(alpha * koszt_dystrybucji - beta * suma_satysfakcji) + koszt_wyniki.append(calkowity_koszt) + zadowolenie_wyniki.append(calkowite_zadowolenie) + if wynik_funkcji > maksymalny_wynik: + maksymalny_wynik = wynik_funkcji + wyniki_funkcji.append(wynik_funkcji) + +print("maksymalny_wynik", maksymalny_wynik, wyniki_funkcji) # Pseudo-code, assuming model setup as previously discussed -scenarios = [(1.0, sys.float_info.epsilon), (0.8, 0.2), (0.5, 0.5), (0.2, 0.8), (sys.float_info.epsilon, 1.0)] -results = [] +scemariusze = [(1.0, sys.float_info.epsilon), (0.8, 0.2), (0.5, 0.5), (0.2, 0.8), (sys.float_info.epsilon, 1.0)] +wyniki = [] -for alpha, beta in scenarios: - # Update objective function - model.objective = alpha * cost_distribution - beta * satisfaction_component +for alpha, beta in scemariusze: + model.objective = alpha * koszt_dystrybucji - beta * suma_satysfakcji - # Solve the model model.solve() - # Record the results - total_cost = pulp.value(cost_distribution) - total_satisfaction = pulp.value(satisfaction_component) - results.append((alpha, beta, total_cost, total_satisfaction)) + calkowity_koszt = pulp.value(koszt_dystrybucji) + calkowite_zadowolenie = pulp.value(suma_satysfakcji) + wyniki.append((alpha, beta, calkowity_koszt, calkowite_zadowolenie)) -# Output results for the report -for idx, (alpha, beta, cost, satisfaction) in enumerate(results): - print(f"Step {idx+1}:") - print(f" Weights - Cost: {alpha}, Satisfaction: {beta}") - print(f" Total Cost: {cost}, Customer Satisfaction: {satisfaction}\n") +for idx, (alpha, beta, koszt, zadowolenie) in enumerate(wyniki): + print(f"Krok {idx+1}:") + print(f" koszt: {alpha}, zadowolenie: {beta}") + print(f" Calkowity koszt: {koszt}, zadowolenie klienta: {zadowolenie}\n") diff --git a/NotProgramming/MOM/report_three/report_three.pdf b/NotProgramming/MOM/report_three/report_three.pdf index ba85bbc00e59d267b8ea73638b5ff64959027777..d61624f4de6abdb97cc2f4b1ccc6d3c0ea9174fe 100644 GIT binary patch delta 121026 zcmZs?bBt#}*Dc((ZQHipJ#E{z-TiA$+qP}nw#{kVn&zG7d6V}`?*0B)m6J;4RQ9ga zUgxY@by^J@5DOQt1CSA#`Sa00Z{CPC)XxVpU3e`bw;i}NeAA8qa=JE`B3+p%vQ+eE zXE=!9^zaZbvGC#B{eCG%5xq>zrnYj65#1!wafDV5-AP2X?R6#0yT>6_ckMN6%n!7W zaVO8cZHMibuwIXSTvpl3dJf-C&ke_I=ThtUHIM?ezMyR{0pJT8x%PAWhGV8|%Ye3& zJpo9^SsHJJpq2Nn3u|FVPEkltxFBS?n|5CryD+pORRr0p24L>y$?pf?zv=5QnqCI* z?cKI|=mqxL@BLK?!ZBOPpaCn82Uk7${`1k9UHlsi2e#1s*|B>eiKUltMBLMdDBz(BjpbesYu(CqKAqO01P3rk{j z_xL>m>d(M?-7YpcufAxY+XiT>E7Kd2^RuR_o107b#wXN&^dveU&q!SQu3b5FcfsKG 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beta /= 10.0 +\end{lstlisting} +Najwyższy wynik zostął uzyskany dla $\alpha = 10$ i $\beta = 0$ i wynosił on \textbf{156.5} - # Update objective function - model.objective = alpha * cost_distribution - beta * satisfaction_component +\paragraph{Symulacja procesu podejmowania decyzji} +Przeprowadzone zostały symulacje dla 5 sytuacji: +\begin{enumerate} + \item Tylko minimalizacja kosztów $\alpha = 1.0$ $\beta = 0.0$ + \item Priorytet na minimalizacji kosztów $\alpha = 0.8$ $\beta = 0.2$ + \item Równy podział $\alpha = 0.5$ $\beta = 0.5$ + \item Priorytet na satysfakcji klientów $\alpha = 0.2$ $\beta = 0.8$ + \item Tylko satysfakcja klientów $\alpha = 0.0$ $\beta = 1.0$ +\end{enumerate} + +Ponownie w celu przeprowadzenia symulacji napisano kod w pythonie +\begin{lstlisting}[language=Python] +# Pseudo-code, assuming model setup as previously discussed +scemariusze = [ + (1.0, sys.float_info.epsilon), + (0.8, 0.2), + (0.5, 0.5), + (0.2, 0.8), + (sys.float_info.epsilon, 1.0)] +wyniki = [] + +for alpha, beta in scemariusze: + model.objective = alpha * koszt_dystrybucji + - beta * suma_satysfakcji - # Solve the model model.solve() - # Record the results - total_cost = value(cost_distribution) - total_satisfaction = value(satisfaction_component) - cost_results.append(total_cost) - satisfaction_results.append(total_satisfaction) + calkowity_koszt = pulp.value(koszt_dystrybucji) + calkowite_zadowolenie = pulp.value(suma_satysfakcji) + wyniki.append( + (alpha, beta, calkowity_koszt, calkowite_zadowolenie) + ) + +for idx, (alpha, beta, koszt, zadowolenie) in enumerate(wyniki): + print(f"Krok {idx+1}:") + print(f" koszt: {alpha}, zadowolenie: {beta}") + print(f" + Calkowity koszt: {koszt}, + zadowolenie klienta: {zadowolenie}\n") \end{lstlisting} \end{document} \ No newline at end of file