File size: 7,546 Bytes
de9025d
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
8147138
de9025d
8147138
 
 
 
 
 
 
 
 
 
 
 
 
de9025d
8147138
 
 
 
 
 
 
 
 
 
de9025d
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
674bac5
 
de9025d
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
8147138
de9025d
 
 
 
 
674bac5
de9025d
 
 
 
 
 
 
8147138
de9025d
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
"""
Multi-agent Mesa shelter-seeking model with 4 personas Γ— 2 genders.
20 agents total (5 per persona, 10F + 10M).

Each agent random-walks until cumulative heat stress crosses the
persona-specific threshold, then greedily seeks the nearest shelter.

Uses explicit per-step loops instead of mesa.time schedulers so the
code works with any Mesa 2.x version.
"""

import math
import mesa


# ── Personas ──────────────────────────────────────────────────────────────────

PERSONAS = [
    {"id": "old",    "label": "Elderly",     "stress_threshold": 2.0, "heat_trigger": 0.30},
    {"id": "middle", "label": "Middle-aged", "stress_threshold": 4.0, "heat_trigger": 0.45},
    {"id": "young",  "label": "Young Adult", "stress_threshold": 6.0, "heat_trigger": 0.55},
    {"id": "kids",   "label": "Kids",        "stress_threshold": 2.5, "heat_trigger": 0.35},
]

_GENDER_PATTERNS = [
    ["F", "M", "F", "M", "F"],   # old    β†’ 3F 2M
    ["M", "F", "M", "F", "M"],   # middle β†’ 2F 3M
    ["F", "M", "F", "M", "F"],   # young  β†’ 3F 2M
    ["M", "F", "M", "F", "M"],   # kids   β†’ 2F 3M
]

AGENT_ROSTER = [
    {"persona": p["id"], "gender": g}
    for pi, p in enumerate(PERSONAS)
    for g in _GENDER_PATTERNS[pi]
]  # exactly 20 entries


# ── Spatial grid for O(1) nearest-neighbour lookup ───────────────────────────

_CELL_DEG = 0.003

def _build_grid(vuln_index: list) -> dict:
    grid = {}
    for p in vuln_index:
        cx = int(p["lng"] / _CELL_DEG)
        cy = int(p["lat"] / _CELL_DEG)
        grid.setdefault((cx, cy), []).append(p)
    return grid

def _sample_grid(lng: float, lat: float, grid: dict) -> float:
    cx = int(lng / _CELL_DEG)
    cy = int(lat / _CELL_DEG)
    cos_lat = math.cos(math.radians(lat))
    best_d2, best_score = math.inf, 0.0
    for dx in range(-2, 3):
        for dy in range(-2, 3):
            for p in grid.get((cx + dx, cy + dy), []):
                ddx = (p["lng"] - lng) * 111320 * cos_lat
                ddy = (p["lat"] - lat) * 110540
                d2  = ddx * ddx + ddy * ddy
                if d2 < best_d2:
                    best_d2 = d2
                    best_score = p["score"]
    return best_score


def dist_sq(coord_a, coord_b) -> float:
    lng1, lat1 = coord_a
    lng2, lat2 = coord_b
    dx = (lng1 - lng2) * 111320 * math.cos(math.radians(lat1))
    dy = (lat1 - lat2) * 110540
    return dx * dx + dy * dy


# ── Mesa agent ────────────────────────────────────────────────────────────────

class ShelterSeekingAgent(mesa.Agent):
    """Accumulates stress while exposed to heat; switches to greedy shelter-seeking once threshold crossed."""

    def __init__(self, model, start_node: str, persona: dict, gender: str):
        super().__init__(model)
        self.current_node  = start_node
        self.persona       = persona
        self.gender        = gender
        self.stress_accum  = 0.0
        self.seeking       = False
        self.arrived       = (start_node == model.shelter_node)
        self.visited       = {start_node}

    def step(self):
        if self.arrived:
            return

        vuln    = self.model.get_vuln(self.current_node)
        trigger = self.persona["heat_trigger"]
        if vuln > trigger:
            self.stress_accum += (vuln - trigger) * 2.0

        if not self.seeking and self.stress_accum >= self.persona["stress_threshold"]:
            self.seeking = True

        neighbours = [e["to"] for e in self.model.edges.get(self.current_node, [])]
        if not neighbours:
            return

        if self.seeking:
            shelter_coord = self.model.nodes[self.model.shelter_node]
            unvisited = [n for n in neighbours if n not in self.visited]
            pool = unvisited if unvisited else neighbours
            next_node = min(pool, key=lambda n: dist_sq(self.model.nodes[n], shelter_coord))
            if next_node == self.model.shelter_node or self.current_node == self.model.shelter_node:
                self.arrived      = True
                self.current_node = self.model.shelter_node
                return
        else:
            unvisited = [n for n in neighbours if n not in self.visited]
            pool      = unvisited if unvisited else neighbours
            next_node = self.model.random.choice(pool)

        self.visited.add(next_node)
        self.current_node = next_node


# ── Mesa model ────────────────────────────────────────────────────────────────

class MultiAgentModel(mesa.Model):
    MAX_STEPS      = 200
    SNAPSHOT_EVERY = 5

    def __init__(
        self,
        nodes: dict,
        edges: dict,
        shelter_node: str,
        start_positions: list,
        vuln_index: list,
        seed: int = 42,
    ):
        super().__init__(seed=seed)
        self.nodes        = nodes
        self.edges        = edges
        self.shelter_node = shelter_node
        self.vuln_index   = vuln_index
        self._vuln_cache: dict = {}
        self._vuln_grid = _build_grid(vuln_index)   # O(M) once; lookups are O(1)

        # Create all 20 agents (mesa.Model tracks them in self.agents automatically)
        self._agent_list = []
        for i, (start_node, entry) in enumerate(zip(start_positions, AGENT_ROSTER)):
            persona = next(p for p in PERSONAS if p["id"] == entry["persona"])
            agent   = ShelterSeekingAgent(self, start_node, persona, entry["gender"])
            self._agent_list.append(agent)

        self._snapshots = [self._snapshot()]

    def get_vuln(self, node_id: str) -> float:
        if node_id not in self._vuln_cache:
            lng, lat = self.nodes[node_id]
            self._vuln_cache[node_id] = _sample_grid(lng, lat, self._vuln_grid)
        return self._vuln_cache[node_id]

    def _snapshot(self) -> list:
        return [
            {
                "id":      a.unique_id,
                "lng":     self.nodes[a.current_node][0],
                "lat":     self.nodes[a.current_node][1],
                "arrived": a.arrived,
                "persona": a.persona["id"],
                "gender":  a.gender,
            }
            for a in self._agent_list
        ]

    def step(self):
        """Simultaneous activation β€” all agents read state from t, write to t+1."""
        for agent in self._agent_list:
            agent.step()

    def run(self) -> dict:
        for s in range(self.MAX_STEPS):
            self.step()
            if (s + 1) % self.SNAPSHOT_EVERY == 0 or s == self.MAX_STEPS - 1:
                self._snapshots.append(self._snapshot())

        arrived = [a for a in self._agent_list if a.arrived]

        breakdown = {}
        for p in PERSONAS:
            pid   = p["id"]
            group = [a for a in self._agent_list if a.persona["id"] == pid]
            breakdown[pid] = {
                "label":   p["label"],
                "total":   len(group),
                "arrived": sum(1 for a in group if a.arrived),
            }

        return {
            "arrived_count":     len(arrived),
            "snapshots":         self._snapshots,
            "persona_breakdown": breakdown,
        }