fix(simulation): Fixed expected age calculation

Signed-off-by: Tuan-Dat Tran <tuan-dat.tran@tudattr.dev>

01_nb_cncf_optimization/02-objective_multi-core_gridsearch.ipynb

@@ -179,7 +179,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 13,
    "id": "bd4536e9-273b-4f49-b06c-2f00605e0f7d",
    "metadata": {},
    "outputs": [],
@@ -200,7 +200,7 @@
     "    # Compute the objective function\n",
     "    objective = objective_function(optimized_hitrates, c_f, c_delta, lambda_vals)\n",
     "\n",
-    "    return (objective, optimized_ttl, db_object_count, cache_size, c_f, c_delta)\n",
+    "    return (objective, optimized_ttl, db_object_count, cache_size, c_f, c_delta, optimized_hitrates)\n",
     "\n",
     "# Perform grid search with parallelization and tqdm progress bar\n",
     "def grid_search(db_object_counts, cache_sizes, c_f_values, c_delta_values):\n",
@@ -219,14 +219,14 @@
     "            results.append(result)\n",
     "    \n",
     "    # Convert the results into a pandas DataFrame\n",
-    "    df = pd.DataFrame(results, columns=[\"Objective\", \"Optimal TTL\", \"db_object_count\", \"cache_size\", \"c_f (Miss Cost)\", \"c_delta (Refresh Cost)\"])\n",
+    "    df = pd.DataFrame(results, columns=[\"Objective\", \"Optimal TTL\", \"db_object_count\", \"cache_size\", \"c_f (Miss Cost)\", \"c_delta (Refresh Cost)\", \"optimized_hitrates\"])\n",
     "    \n",
     "    return df\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 14,
    "id": "a92c6772-6609-41a8-a3d1-4d640b69a864",
    "metadata": {},
    "outputs": [
@@ -235,18 +235,17 @@
      "output_type": "stream",
      "text": [
       "[Parallel(n_jobs=-1)]: Using backend LokyBackend with 12 concurrent workers.\n",
-      "[Parallel(n_jobs=-1)]: Done  26 tasks      | elapsed:    0.7s\n",
-      "[Parallel(n_jobs=-1)]: Done 1420 tasks      | elapsed:    1.3s\n",
-      "[Parallel(n_jobs=-1)]: Done 55524 tasks      | elapsed:  1.2min\n",
-      "[Parallel(n_jobs=-1)]: Done 64152 out of 64152 | elapsed:  2.6min finished\n"
+      "[Parallel(n_jobs=-1)]: Done  26 tasks      | elapsed:    0.4s\n",
+      "[Parallel(n_jobs=-1)]: Done 1420 tasks      | elapsed:    0.7s\n",
+      "[Parallel(n_jobs=-1)]: Done 64152 out of 64152 | elapsed:  1.4min finished\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "CPU times: user 53 s, sys: 1.26 s, total: 54.3 s\n",
-      "Wall time: 3min 24s\n"
+      "CPU times: user 42 s, sys: 731 ms, total: 42.7 s\n",
+      "Wall time: 2min 5s\n"
      ]
     }
    ],
@@ -272,7 +271,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 15,
    "id": "e79e6ed1-d6a5-4b04-a2b2-b3f0984e0fbe",
    "metadata": {},
    "outputs": [
@@ -285,9 +284,10 @@
       "Optimal TTL               [inf, inf, inf, inf, inf, inf, inf, inf, inf, ...\n",
       "db_object_count                                                          10\n",
       "cache_size                                                             10.0\n",
-      "c_f (Miss Cost)                                                         1.5\n",
+      "c_f (Miss Cost)                                                         0.7\n",
       "c_delta (Refresh Cost)                                                 0.01\n",
-      "Name: 2448, dtype: object\n"
+      "optimized_hitrates        [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, ...\n",
+      "Name: 2376, dtype: object\n"
      ]
     }
    ],
@@ -300,10 +300,37 @@
     "print(best_row)"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "id": "95af94b4-05c0-488c-9561-50fc4e7cc3d4",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(0.049999999999999996,\n",
+       " array([inf, inf, inf, inf, inf, inf, inf, inf, inf, inf]),\n",
+       " 10,\n",
+       " 10,\n",
+       " 1.5,\n",
+       " 0.01,\n",
+       " array([1., 1., 1., 1., 1., 1., 1., 1., 1., 1.]))"
+      ]
+     },
+     "execution_count": 16,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "grid_search_task(10, 10, 1.5, 0.01)"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "924fd9c4-6670-4cf4-93a7-b1484111b333",
+   "id": "20c943b4-b32b-4294-949b-0f3abe2fb97a",
    "metadata": {},
    "outputs": [],
    "source": []