diff --git a/MyIA.AI.Notebooks/GenAI/Texte/09e_Production_Exploitation.ipynb b/MyIA.AI.Notebooks/GenAI/Texte/09e_Production_Exploitation.ipynb
index 24a0adb1c4..dbf9f50ee2 100644
--- a/MyIA.AI.Notebooks/GenAI/Texte/09e_Production_Exploitation.ipynb
+++ b/MyIA.AI.Notebooks/GenAI/Texte/09e_Production_Exploitation.ipynb
@@ -5,10 +5,10 @@
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@@ -33,16 +33,16 @@
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@@ -74,10 +74,10 @@
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@@ -93,16 +93,16 @@
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@@ -119,7 +119,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "API directe fournisseur                HTTP 200   139 modèles\n",
+      "API directe fournisseur                HTTP 200   140 modèles\n",
       "Prix catalogue openai/gpt-5-mini : $0.25/M entrée, $2.00/M sortie\n"
      ]
     }
@@ -175,16 +175,16 @@
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@@ -234,16 +234,16 @@
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@@ -319,16 +319,16 @@
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@@ -367,7 +367,7 @@
        "      <th>0</th>\n",
        "      <td>local</td>\n",
        "      <td>86.7</td>\n",
-       "      <td>1.207</td>\n",
+       "      <td>1.001</td>\n",
        "      <td>0.000000</td>\n",
        "      <td>0.000000</td>\n",
        "    </tr>\n",
@@ -375,9 +375,9 @@
        "      <th>1</th>\n",
        "      <td>distant</td>\n",
        "      <td>100.0</td>\n",
-       "      <td>1.892</td>\n",
-       "      <td>0.000042</td>\n",
-       "      <td>0.001254</td>\n",
+       "      <td>1.572</td>\n",
+       "      <td>0.000043</td>\n",
+       "      <td>0.001277</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
@@ -385,8 +385,8 @@
       ],
       "text/plain": [
        "    modèle  justesse %  latence médiane (s)  coût/requête ($)  coût total ($)\n",
-       "0    local        86.7                1.207          0.000000        0.000000\n",
-       "1  distant       100.0                1.892          0.000042        0.001254"
+       "0    local        86.7                1.001          0.000000        0.000000\n",
+       "1  distant       100.0                1.572          0.000043        0.001277"
       ]
      },
      "metadata": {},
@@ -426,10 +426,10 @@
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@@ -447,10 +447,10 @@
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@@ -460,8 +460,10 @@
     "\n",
     "Un budget d'exploitation ne se décrète pas, il se simule à partir du coût mesuré. À volume fixe,\n",
     "la trajectoire de dépense est une droite dont la pente est le coût par requête ; le mix local/distant\n",
-    "fait varier la pente. L'exploitant veut trois choses : la trajectoire, la date de franchissement\n",
-    "du budget, et une alerte *avant* — posée ici à quatre-vingts pour cent du budget."
+    "fait varier la pente. Le budget est mensuel et **renouvelable** : le compteur retombe à zéro à chaque\n",
+    "frontière de mois, et c'est la trajectoire d'un mois qui décide — pas un cumul annuel. L'exploitant\n",
+    "veut trois choses : cette trajectoire, le jour du mois où elle franchit le budget, et une alerte\n",
+    "*avant* — posée ici à quatre-vingts pour cent du budget.\n"
    ]
   },
   {
@@ -470,16 +472,16 @@
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      "exception": false,
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@@ -508,41 +510,55 @@
        "      <th></th>\n",
        "      <th>part locale</th>\n",
        "      <th>pente ($/jour)</th>\n",
-       "      <th>alerte 80 % (jour)</th>\n",
-       "      <th>budget épuisé (jour)</th>\n",
+       "      <th>alerte 80 % (jour du mois)</th>\n",
+       "      <th>budget épuisé (jour du mois)</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>0</th>\n",
        "      <td>0.0</td>\n",
-       "      <td>0.0627</td>\n",
-       "      <td>128</td>\n",
-       "      <td>160</td>\n",
+       "      <td>0.0639</td>\n",
+       "      <td>jamais</td>\n",
+       "      <td>jamais</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1</th>\n",
        "      <td>0.5</td>\n",
-       "      <td>0.0313</td>\n",
-       "      <td>256</td>\n",
-       "      <td>320</td>\n",
+       "      <td>0.0319</td>\n",
+       "      <td>jamais</td>\n",
+       "      <td>jamais</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2</th>\n",
        "      <td>0.9</td>\n",
-       "      <td>0.0063</td>\n",
+       "      <td>0.0064</td>\n",
+       "      <td>jamais</td>\n",
+       "      <td>jamais</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>1.0</td>\n",
+       "      <td>0.0000</td>\n",
+       "      <td>jamais</td>\n",
        "      <td>jamais</td>\n",
-       "      <td>&gt; 1 an</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "</div>"
       ],
       "text/plain": [
-       "   part locale  pente ($/jour) alerte 80 % (jour) budget épuisé (jour)\n",
-       "0          0.0          0.0627                128                  160\n",
-       "1          0.5          0.0313                256                  320\n",
-       "2          0.9          0.0063             jamais               > 1 an"
+       "   part locale  pente ($/jour) alerte 80 % (jour du mois)  \\\n",
+       "0          0.0          0.0639                     jamais   \n",
+       "1          0.5          0.0319                     jamais   \n",
+       "2          0.9          0.0064                     jamais   \n",
+       "3          1.0          0.0000                     jamais   \n",
+       "\n",
+       "  budget épuisé (jour du mois)  \n",
+       "0                       jamais  \n",
+       "1                       jamais  \n",
+       "2                       jamais  \n",
+       "3                       jamais  "
       ]
      },
      "metadata": {},
@@ -552,42 +568,53 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Entrées de la simulation : coût distant mesuré $0.000042/requête, volume 1500 req/jour, budget $10/mois\n"
+      "Entrées : coût distant mesuré $0.000043/requête, volume 1500 req/jour, budget $10/mois renouvelable (compteur remis à zéro tous les 30 jours)\n",
+      "Témoin à $0.40/jour : alerte 80 % au jour 20, budget épuisé au jour 25 du mois\n",
+      "Témoin zéro requête : alerte jamais, épuisement jamais\n"
      ]
     }
    ],
    "source": [
+    "JOURS_MOIS = 30      # mois normalisé de la simulation (paramètre de l'exploitant)\n",
+    "\n",
     "def trajectoire(cout_distant_par_req, volume_par_jour, part_locale, budget_usd):\n",
-    "    \"\"\"Simule la dépense cumulée jour par jour. Retourne (cumuls, jour_franchissement_80, jour_epuisement).\"\"\"\n",
+    "    \"\"\"Dépense cumulée dans le mois courant. Le budget est mensuel RENOUVELABLE : le compteur\n",
+    "    retombe à zéro à chaque frontière de mois, et comme la pente est constante, la trajectoire\n",
+    "    d'un mois vaut pour tous. Retourne (cumuls_du_mois, jour_du_mois_80, jour_du_mois_epuisement).\"\"\"\n",
     "    pente = volume_par_jour * (1 - part_locale) * cout_distant_par_req\n",
     "    cumuls, c = [], 0.0\n",
     "    jour80 = jour_plein = None\n",
-    "    for jour in range(1, 366):\n",
+    "    for jour in range(1, JOURS_MOIS + 1):\n",
     "        c += pente\n",
     "        cumuls.append(c)\n",
     "        if jour80 is None and c >= 0.8 * budget_usd:\n",
     "            jour80 = jour\n",
     "        if jour_plein is None and c >= budget_usd:\n",
     "            jour_plein = jour\n",
-    "            break\n",
     "    return cumuls, jour80, jour_plein\n",
     "\n",
     "COUT_DISTANT = sum(x[\"cout_usd\"] for x in MESURES[\"distant\"]) / len(MESURES[\"distant\"])\n",
     "VOLUME = 1500         # requêtes/jour posées au service (paramètre de l'exploitant)\n",
-    "BUDGET = 10.0         # budget mensuel en dollars (paramètre de l'exploitant)\n",
+    "BUDGET = 10.0         # budget mensuel renouvelable en dollars (paramètre de l'exploitant)\n",
     "\n",
     "lignes = []\n",
-    "for part_locale in (0.0, 0.5, 0.9):\n",
+    "for part_locale in (0.0, 0.5, 0.9, 1.0):\n",
     "    cumuls, j80, jp = trajectoire(COUT_DISTANT, VOLUME, part_locale, BUDGET)\n",
     "    lignes.append({\n",
     "        \"part locale\": part_locale,\n",
     "        \"pente ($/jour)\": round(VOLUME * (1 - part_locale) * COUT_DISTANT, 4),\n",
-    "        \"alerte 80 % (jour)\": j80 if j80 else \"jamais\",\n",
-    "        \"budget épuisé (jour)\": jp if jp else \"> 1 an\",\n",
+    "        \"alerte 80 % (jour du mois)\": j80 if j80 else \"jamais\",\n",
+    "        \"budget épuisé (jour du mois)\": jp if jp else \"jamais\",\n",
     "    })\n",
     "display(pd.DataFrame(lignes))\n",
-    "print(f\"Entrées de la simulation : coût distant mesuré ${COUT_DISTANT:.6f}/requête, \"\n",
-    "      f\"volume {VOLUME} req/jour, budget ${BUDGET:.0f}/mois\")"
+    "print(f\"Entrées : coût distant mesuré ${COUT_DISTANT:.6f}/requête, volume {VOLUME} req/jour, \"\n",
+    "      f\"budget ${BUDGET:.0f}/mois renouvelable (compteur remis à zéro tous les {JOURS_MOIS} jours)\")\n",
+    "\n",
+    "# Témoins de contrôle : le modèle mensuel doit rendre les deux régimes observables.\n",
+    "_, j80_t, jp_t = trajectoire(0.40 / VOLUME, VOLUME, 0.0, BUDGET)   # pente à 0,40 $/jour\n",
+    "_, j80_z, jp_z = trajectoire(COUT_DISTANT, 0, 0.0, BUDGET)         # zéro requête posée\n",
+    "print(f\"Témoin à $0.40/jour : alerte 80 % au jour {j80_t}, budget épuisé au jour {jp_t} du mois\")\n",
+    "print(f\"Témoin zéro requête : alerte {j80_z or 'jamais'}, épuisement {jp_z or 'jamais'}\")\n"
    ]
   },
   {
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@@ -615,20 +642,22 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Vérification de l'organe d'alerte au jour 30 : seuil non franchi\n"
+      "Mois calme (pente mesurée), jour 30 : seuil non franchi\n",
+      "Mois tendu ($0.40/jour), jour 20 : seuil franchi -- ALERTE\n"
      ]
     }
    ],
    "source": [
     "def verifier_alerte(cumuls, budget_usd, au_jour):\n",
-    "    \"\"\"L'organe d'alerte : dit si, au jour donné, on a franchi le seuil de quatre-vingts pour cent.\"\"\"\n",
+    "    \"\"\"L'organe d'alerte : dit si, au jour du mois donné, on a franchi le seuil de quatre-vingts pour cent.\"\"\"\n",
     "    return cumuls[au_jour - 1] >= 0.8 * budget_usd\n",
     "\n",
     "cumuls, j80, jp = trajectoire(COUT_DISTANT, VOLUME, 0.5, BUDGET)\n",
-    "SEUIL_JOUR = min(j80 or 1, 30)   # on vérifie l'alerte au plus tard au seuil calculé\n",
-    "franchie = verifier_alerte(cumuls, BUDGET, SEUIL_JOUR)\n",
-    "print(f\"Vérification de l'organe d'alerte au jour {SEUIL_JOUR} : seuil \"\n",
-    "      f\"{'franchi -- ALERTE' if franchie else 'non franchi'}\")"
+    "calme = verifier_alerte(cumuls, BUDGET, JOURS_MOIS)   # régime calme : vérifié au dernier jour du mois\n",
+    "cumuls_t, j80_t, _ = trajectoire(0.40 / VOLUME, VOLUME, 0.0, BUDGET)\n",
+    "tendu = verifier_alerte(cumuls_t, BUDGET, j80_t)      # régime tendu : au jour d'alerte calculé\n",
+    "print(f\"Mois calme (pente mesurée), jour {JOURS_MOIS} : seuil {'franchi -- ALERTE' if calme else 'non franchi'}\")\n",
+    "print(f\"Mois tendu ($0.40/jour), jour {j80_t} : seuil {'franchi -- ALERTE' if tendu else 'non franchi'}\")\n"
    ]
   },
   {
@@ -636,20 +665,24 @@
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    "metadata": {
     "papermill": {
-     "duration": 0.006072,
-     "end_time": "2026-09-28T16:54:45.901245+00:00",
+     "duration": 0.007263,
+     "end_time": "2026-10-01T20:38:43.370233+00:00",
      "exception": false,
-     "start_time": "2026-09-28T16:54:45.895173+00:00",
+     "start_time": "2026-10-01T20:38:43.362970+00:00",
      "status": "completed"
     },
     "tags": []
    },
    "source": [
-    "**Lecture.** La pente varie d'un facteur dix selon le mix : la colonne alerte montre le cas qui\n",
-    "franchit le seuil en cours de période et celui qui ne l'atteint pas dans l'année.\n",
-    "L'alerte ne se déclenche pas sur un sentiment : c'est une fonction testée sur la trajectoire\n",
-    "simulée, avec la pente mesurée à la section précédente — ré-exécuter le notebook avec un autre\n",
-    "prix de catalogue et tout se recalcule."
+    "**Lecture.** La pente varie d'un facteur dix selon le mix, mais aucun mix ne menace le budget :\n",
+    "à 0,063 $/jour, le mois complet consomme moins de 2 $ des 10 $ — et le compteur retombe à zéro à\n",
+    "chaque frontière de mois, la dépense ne s'accumule pas d'un mois sur l'autre. Le témoin à\n",
+    "0,40 $/jour montre l'autre régime : alerte au jour 20, budget épuisé au jour 25 du mois. C'est la\n",
+    "lecture mensuelle qui rend ce franchissement observable — un cumul annuel le noierait deux fois\n",
+    "(sous-alerte à pente faible, franchissement noyé à pente forte). L'alerte ne se déclenche pas sur\n",
+    "un sentiment : c'est une fonction testée sur la trajectoire simulée dans les deux régimes, avec la\n",
+    "pente mesurée à la section précédente — ré-exécuter le notebook avec un autre prix de catalogue\n",
+    "et tout se recalcule.\n"
    ]
   },
   {
@@ -657,10 +690,10 @@
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@@ -681,16 +714,16 @@
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@@ -728,10 +761,10 @@
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@@ -748,10 +781,10 @@
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@@ -894,10 +927,10 @@
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@@ -914,10 +947,10 @@
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@@ -937,16 +970,16 @@
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-     "start_time": "2026-09-28T16:54:54.928059+00:00",
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@@ -1069,10 +1102,10 @@
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@@ -1090,10 +1123,10 @@
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@@ -1112,10 +1145,10 @@
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+     "start_time": "2026-10-01T20:38:52.636576+00:00",
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@@ -1129,10 +1162,10 @@
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     "papermill": {
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+     "start_time": "2026-10-01T20:38:52.652003+00:00",
      "status": "completed"
     },
     "tags": []
@@ -1141,8 +1174,8 @@
     "### Exercice 1 : alerte prédictive\n",
     "\n",
     "L'alerte actuelle attend le franchissement du seuil. Écrivez `jour_franchissement_prevu(cumuls, budget)`\n",
-    "qui **extrapole la pente** des premiers jours pour prédire le jour de franchissement complet du\n",
-    "budget — l'exploitant veut être prévenu des semaines à l'avance, pas le jour du seuil."
+    "qui **extrapole la pente** des premiers jours du mois pour prédire le jour du mois où le budget\n",
+    "s'épuise — l'exploitant veut être prévenu des semaines à l'avance, pas le jour du seuil.\n"
    ]
   },
   {
@@ -1151,16 +1184,16 @@
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+     "iopub.execute_input": "2026-10-01T20:38:52.678001Z",
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+     "start_time": "2026-10-01T20:38:52.667464+00:00",
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@@ -1192,10 +1225,10 @@
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@@ -1215,16 +1248,16 @@
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+     "start_time": "2026-10-01T20:38:52.710599+00:00",
      "status": "completed"
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@@ -1256,10 +1289,10 @@
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+     "start_time": "2026-10-01T20:38:52.737476+00:00",
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@@ -1278,16 +1311,16 @@
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+     "start_time": "2026-10-01T20:38:52.753666+00:00",
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@@ -1318,10 +1351,10 @@
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@@ -1352,17 +1385,17 @@
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-   "input_path": "09e_Production_Exploitation.ipynb",
-   "output_path": "09e_exec.ipynb",
+   "input_path": "MyIA.AI.Notebooks/GenAI/Texte/09e_Production_Exploitation.ipynb",
+   "output_path": "MyIA.AI.Notebooks/GenAI/Texte/09e_Production_Exploitation.ipynb",
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-   "start_time": "2026-09-28T16:53:01.538684+00:00",
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\ No newline at end of file