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468 lines (396 loc) · 16.2 KB
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"""
ILP hotel planning voor september 2025 met walk-ins.
Belangrijk:
- Binaire variabelen x[g,r] voor kamerkeuze per gast.
- Binaire variabelen y[g] voor acceptatie van walk-ins.
- Bezettingsrestricties per kamer per dag.
- Lock-restricties voor in-house of T-1 gasten.
- Doel: max geaccepteerde walk-ins + tevredenheid - move penalty.
Benodigd:
- pulp (pip install pulp)
- plotly
"""
from __future__ import annotations
from datetime import date, timedelta
from dataclasses import dataclass
from typing import List, Dict, Tuple
import random
import pandas as pd
import plotly.express as px
import plotly.graph_objects as go
import pulp
import streamlit as st
from itertools import combinations
from room_division_2 import simulate_variant
# ----------------------------- Data -----------------------------
@dataclass
class Room:
id: str
type: str
floor: int
elev: bool
@dataclass
class Guest:
name: str
need: str
start: date
end: date # checkout, exclusief
pref_floor: int
near_elev: bool
prebooked: bool
planned_room: str | None # pre-assigned bij prebooked
walk_in: bool
def daterange(d0: date, d1: date):
"""Genereer opeenvolgende dagen [d0, d1)."""
d = d0
while d < d1:
yield d
d += timedelta(days=1)
def overlaps(a0: date, a1: date, b0: date, b1: date) -> bool:
"""True als intervallen [a0,a1) en [b0,b1) elkaar snijden."""
return a0 < b1 and b0 < a1
# ----------------------- Synthetic scenario ---------------------
def generate_rooms() -> List[Room]:
"""Maak de 8 kamers volgens jouw schema."""
return [
Room("11", "single", 1, True),
Room("12", "double", 1, False),
Room("21", "single", 2, True),
Room("22", "double", 2, False),
Room("31", "single", 3, True),
Room("32", "double", 3, False),
Room("41", "single", 4, True),
Room("42", "double", 4, False),
]
def generate_prebooked_with_gaps(rooms: List[Room], start: date, end: date,
gap_p: float = 0.4, cancel_p: float = 0.15,
seed: int = 42) -> List[Guest]:
"""Genereer prebooked gasten met gaten en annuleringen zoals in simulatie 2."""
rng = random.Random(seed)
guests: List[Guest] = []
gid = 1
for r in rooms:
cur = start
while cur < end:
stay = rng.randint(2, 6)
g = Guest(
name=f"G{gid:02d}",
need=rng.choice(["single", "double"]),
start=cur,
end=min(cur + timedelta(days=stay), end),
pref_floor=rng.randint(1, 4),
near_elev=rng.choice([True, False]),
prebooked=True,
planned_room=r.id,
walk_in=False,
)
if rng.random() > cancel_p:
guests.append(g)
cur = g.end
else:
cur = min(cur + timedelta(days=stay), end)
if rng.random() < gap_p:
cur = min(cur + timedelta(days=rng.choice([0, 1])), end)
gid += 1
return guests
def generate_walkins(n: int, start: date, end: date, seed: int = 42) -> List[Guest]:
"""Genereer walk-ins met willekeurige aankomst en verblijfsduur."""
rng = random.Random(seed + 1)
guests: List[Guest] = []
for k in range(n):
stay = rng.randint(1, 4)
arr = start + timedelta(days=rng.randint(0, (end - start).days - 1))
guests.append(
Guest(
name=f"W{k+1}",
need=rng.choice(["single", "double"]),
start=arr,
end=min(arr + timedelta(days=stay), end),
pref_floor=rng.randint(1, 4),
near_elev=rng.choice([True, False]),
prebooked=False,
planned_room=None,
walk_in=True,
)
)
return guests
def assert_no_double_occupancy(df, period_start, period_end, rooms):
"""Stop als er echte dubbele bezetting is per dag×kamer."""
from datetime import timedelta
days = []
d = period_start
while d < period_end:
days.append(d)
d += timedelta(days=1)
conflicts = []
for rid in [r.id for r in rooms]:
for t in days:
gasten = df[
(df["Assigned_room"] == rid) &
(df["Start"] <= t) &
(df["Eind"] > t) # end = checkout, exclusief
]["Gast"].tolist()
if len(gasten) > 1:
conflicts.append((t, rid, gasten))
if conflicts:
st.info(f"Double occupancy: {len(conflicts)} conflicts, e.g. {conflicts}")
# raise ValueError(f"Double occupancy: {len(conflicts)} conflicts, e.g. {conflicts[:3]}")
def true_occupancy(df, period_start, period_end, rooms) -> float:
"""Echte bezetting: tel unieke dag×kamer-slots met een gast."""
from datetime import timedelta
total_slots = ((period_end - period_start).days) * len(rooms)
occupied = 0
d = period_start
while d < period_end:
occ_d = df.dropna(subset=["Assigned_room"])
occ_d = occ_d[(occ_d["Start"] <= d) & (occ_d["Eind"] > d)]
occupied += occ_d.drop_duplicates(["Assigned_room"]).shape[0]
d += timedelta(days=1)
return occupied / total_slots if total_slots else 0.0
# ----------------------------- ILP ------------------------------
def build_and_solve_ilp(rooms, prebooked, walkins,
period_start, period_end,
move_penalty: float = 0.25,
accept_reward: float = 1.0):
"""
ILP met dag×kamer-slot variabelen z[g,r,t] om dubbele bezetting uit te sluiten.
"""
all_guests = prebooked + walkins
rooms_by_id = {r.id: r for r in rooms}
days = list(daterange(period_start, period_end)) # t zijn dagen [start, end)
def sat(g, r):
s = 0
s += 1 if r.type == g.need else 0
s += 1 if r.floor == g.pref_floor else 0
s += 1 if r.elev == g.near_elev else 0
return s
satisfaction = {(g.name, r.id): sat(g, rooms_by_id[r.id]) for g in all_guests for r in rooms}
# occ[g,t] = 1 als g op dag t in-house is
occ = {(g.name, t): 1 if (g.start < t + timedelta(days=1) and t < g.end) else 0
for g in all_guests for t in days}
def is_locked(g):
return (g.start <= period_start < g.end) or (g.start == period_start + timedelta(days=1))
locked = {g.name: is_locked(g) and g.prebooked and g.planned_room is not None for g in all_guests}
m = pulp.LpProblem("Hotel_ILP", pulp.LpMaximize)
# Toewijzing per gast-kamer
x = pulp.LpVariable.dicts("x", [(g.name, r.id) for g in all_guests for r in rooms],
lowBound=0, upBound=1, cat="Binary")
# Acceptatie walk-ins
y = pulp.LpVariable.dicts("y", [g.name for g in all_guests if g.walk_in],
lowBound=0, upBound=1, cat="Binary")
# Dag×kamer bezetting
z = pulp.LpVariable.dicts("z", [(g.name, r.id, t) for g in all_guests for r in rooms for t in days],
lowBound=0, upBound=1, cat="Binary")
# 1) Eén kamer per gast
for g in all_guests:
if g.walk_in:
m += pulp.lpSum(x[(g.name, r.id)] for r in rooms) == y[g.name]
else:
m += pulp.lpSum(x[(g.name, r.id)] for r in rooms) == 1
# 2) Type-match
for g in all_guests:
for r in rooms:
if rooms_by_id[r.id].type != g.need:
m += x[(g.name, r.id)] == 0
# 3) Lock in-house of T-1 prebooked
for g in all_guests:
if locked[g.name]:
pr = next((pg.planned_room for pg in prebooked if pg.name == g.name), None)
if pr:
for r in rooms:
m += x[(g.name, r.id)] == (1 if r.id == pr else 0)
# 4) Link z aan x en aan aanwezigheid occ
# z[g,r,t] = 1 alleen als x[g,r]=1 én gast op dag t aanwezig is
# for g in all_guests:
# for r in rooms:
# for t in days:
# m += z[(g.name, r.id, t)] <= x[(g.name, r.id)]
# m += z[(g.name, r.id, t)] <= occ[(g.name, t)]
# m += z[(g.name, r.id, t)] >= x[(g.name, r.id)] + occ[(g.name, t)] - 1
# 5) Kamercapaciteit per dag: som_g z[g,r,t] ≤ 1
# for r in rooms:
# for t in days:
# m += pulp.lpSum(z[(g.name, r.id, t)] for g in all_guests) <= 1
for r in rooms:
for g1, g2 in combinations(all_guests, 2):
if overlaps(g1.start, g1.end, g2.start, g2.end):
m += x[(g1.name, r.id)] + x[(g2.name, r.id)] <= 1
# 6) Move-indicator
moved = {}
for g in prebooked:
if g.planned_room:
mv = pulp.LpVariable(f"moved_{g.name}", 0, 1, cat="Binary")
moved[g.name] = mv
m += mv >= 1 - x[(g.name, g.planned_room)]
# Doel
obj = pulp.lpSum(accept_reward * y[gn] for gn in y.keys())
obj += pulp.lpSum(x[(g.name, r.id)] * satisfaction[(g.name, r.id)] for g in all_guests for r in rooms)
obj -= pulp.lpSum(move_penalty * moved[gn] for gn in moved.keys())
m += obj
_ = m.solve(pulp.PULP_CBC_CMD(msg=False))
# Extract
rows = []
for g in all_guests:
rid = None
for r in rooms:
if pulp.value(x[(g.name, r.id)]) > 0.5:
rid = r.id
break
rows.append({
"Gast": g.name,
"Walk_in": g.walk_in,
"Prebooked": g.prebooked,
"Start": g.start,
"Eind": g.end,
"Nachten": (g.end - g.start).days,
"Need": g.need,
"Pref_floor": g.pref_floor,
"Near_elev": g.near_elev,
"Planned_room": g.planned_room,
"Assigned_room": rid,
"Moved": (rid is not None and g.prebooked and g.planned_room and rid != g.planned_room),
"Accepted": (not g.walk_in) or (g.walk_in and (g.name in y and pulp.value(y[g.name]) > 0.5)),
"Satisfaction_0_3": satisfaction.get((g.name, rid), 0) if rid else 0,
})
df = pd.DataFrame(rows).sort_values(["Start", "Assigned_room", "Gast"]).reset_index(drop=True)
# Safety check
assert_no_double_occupancy(df, period_start, period_end, rooms)
# Metrics op echte slots
occ_rate = true_occupancy(df, period_start, period_end, rooms)
metrics = {
"walkins_created": sum(1 for g in walkins),
"walkins_accepted": int(df.query("Walk_in and Accepted").shape[0]),
"accept_rate_pct": round(100 * df.query("Walk_in").Accepted.mean(), 1) if df.query("Walk_in").shape[0] else 0.0,
"moves": int(df["Moved"].sum()),
"occupancy_pct": round(100 * occ_rate, 1),
"satisfaction_avg": round(float(df["Satisfaction_0_3"].mean()), 2) if not df.empty else 0.0,
"objective_value": round(pulp.value(obj), 3),
"solver_status": pulp.LpStatus[m.status],
}
return df, metrics
# --------------------------- Plotly -----------------------------
def gantt_plot(df: pd.DataFrame, title: str = "Kamerbezetting • ILP • Sep 2025") -> go.Figure:
"""Maak een Gantt met Plotly. Hatches via pattern shape op Walk-in."""
dff = df.dropna(subset=["Assigned_room"]).copy()
dff["Assigned_room"] = dff["Assigned_room"].astype(str) # forceer string
dff["Type"] = dff.apply(lambda r: "Walk-in" if r["Walk_in"] else "Prebooked", axis=1)
rooms_order = sorted(dff["Assigned_room"].unique()) # alleen echte kamers
# Maak een kolom voor de kleurcategorie
def assign_color(row):
if row["Happy_floor"]:
return "green"
elif not row["Happy_floor"] and row["Shuffled"]:
return "orange"
else:
return "red"
dff["Start"] = pd.to_datetime(dff["Start"])
dff["Eind"] = pd.to_datetime(dff["Eind"])
# Maak einde iets eerder zodat blokken aansluiten
dff["Eind_plot"] = dff["Eind"] - pd.Timedelta(seconds=1)
dff["Kamer"]= dff["Assigned_room"]
dff["Floor"] = dff["Kamer"].str[0].astype(int)
dff["Room_type"] = dff["Kamer"].str[-1].astype(int).map(lambda x: "single" if x % 2 == 1 else "double")
dff["Happy_floor"] = dff["Pref_floor"] == dff["Floor"]
dff["Happy_room"] = dff["Need"] == dff["Room_type"]
dff["Shuffled"] = dff["Walk_in"] # Walk-in gasten zijn de 'shuffled' gasten
# Satisfactiescore (voorbeeld: alleen floor afstand)
dff["Satisfaction_score"] = 100 - ((dff["Floor"] - dff["Pref_floor"]).abs() / 3) * 100
dff["ColorCategory"] = dff.apply(assign_color, axis=1)
fig = px.timeline(
dff,
x_start="Start",
x_end="Eind_plot",
y="Assigned_room",
color="ColorCategory",
text="Gast",
hover_data={
"Gast": True, "Kamer": True, "Planned_room": True,
"Start": True, "Eind": True,
"Need": True, "Pref_floor": True, "Near_elev": True,
"Happy_floor": True, "Happy_room": True, "Walk_in": True
},
color_discrete_map={
"green": "green",
"orange": "orange",
"red": "red"
}
)
fig.update_traces(marker=dict(line=dict(color="black", width=1)))
fig.update_traces(width= .5, offset = -0.25)
# Y-as categorisch + volgorde
fig.update_yaxes(
type="category",
# categoryorder="array",
categoryarray=rooms_order,
autorange="reversed",
# showgrid=True,
#gridwidth=1
)
# X-as met daggrid
fig.update_xaxes(showgrid=True, dtick="D1", gridwidth=1)
# Strakke blokken
fig.update_layout(bargap=0, bargroupgap=0, height=700, title="Kamerindeling gasten")
# Verticale lijnen per dag
for d in pd.date_range(df["Start"].min(), df["Eind"].max(), freq="D"):
fig.add_vline(x=d, line_width=1, line_color="rgba(0,0,0,0.15)")
# Horizontale lijnen TUSSEN kamers
for i in range(len(rooms_order) - 1):
y_pos = i + 0.5
fig.add_shape(
type="line",
x0=df["Start"].min(), x1=df["Eind"].max(),
y0=y_pos, y1=y_pos,
xref="x", yref="y",
line=dict(color="rgba(0,0,0,0.25)", width=1)
)
return fig
def main():
PERIOD_START = date(2025, 9, 1)
PERIOD_END = date(2025, 10, 1) # exclusief
rooms = generate_rooms()
col1,col2,col3,col4,col5 = st.columns(5)
with col1:
gap_p = st.slider("Gap probability", 0.0, 1.0, 0.4, 0.05)
with col2:
cancel_p = st.slider("Cancellation prob.", 0.0, 1.0, 0.15, 0.05)
with col3:
move_penalty = st.slider("Move penalty", 0.0, 2.0, 0.25, 0.05)
with col4:
accept_reward = st.slider("Accept reward", 0.0, 5.0, 2.0, 0.1)
with col5:
n_walkins = st.slider("Number of walk-ins", 0, 20, 1, 1)
prebooked = generate_prebooked_with_gaps(rooms, PERIOD_START, PERIOD_END,
gap_p, cancel_p, seed=42)
# gelijk aan simulatie 2 orde van grootte
walkins = generate_walkins(n_walkins, start=PERIOD_START, end=PERIOD_END, seed=42)
df_ilp, metrics = build_and_solve_ilp(
rooms, prebooked, walkins,
PERIOD_START, PERIOD_END,
move_penalty, # zwaarder maakt minder herplaatsingen
accept_reward # hoger stimuleert acceptatie van walk-ins
)
st.write(metrics)
st.write(df_ilp)
totaal_nachten=df_ilp["Nachten"].sum()
st.metric("Totaal nachten", totaal_nachten)
totaal_mogelijk = len(rooms) * (PERIOD_END - PERIOD_START).days
st.metric("Bezettinsgraad (%)", f"{100*totaal_nachten/totaal_mogelijk:.1f}")
days = list(daterange(PERIOD_START, PERIOD_END))
total_slots = len(days) * len(rooms)
occupied_slots = 0
for _, g in df_ilp.iterrows():
for d in daterange(g["Start"], g["Eind"]):
if pd.notna(g["Assigned_room"]):
occupied_slots += 1
occupancy = occupied_slots / total_slots
st.metric("Bezettingsgraad (%)", f"{occupancy*100:.1f}")
# Plotly Gantt
fig = gantt_plot(df_ilp, "Kamerbezetting • ILP • September 2025")
# fig.show()
st.plotly_chart(fig, use_container_width=True)
# Optioneel export
# fig.write_html("hotel_ilp_gantt_sep2025.html")
# df_ilp.to_csv("hotel_ilp_assignments_sep2025.csv", index=False)
# ---------------------------- Run -------------------------------
if __name__ == "__main__":
main()