设备更新策略动态规划算法 - 4年更新策略优化

"2\u3001\u67d0\u516c\u53f8\u60f3\u4e3a\u5176\u5df2\u6709 3 \u5e74\u52a1\u8f9c\u7684\u4e00\u53f0\u8bbe\u5907\u786e\u5b9a\u5728\u4eca\u540e 4 \u5e74\u5185\u7684\u66f4\u65b0\u7565\u7b56\uff0c\u5df2\u77e5\u8be5\u7c7b\u8bbe\u5907\u82e5\u4f7f\u7528\u6ee1 6 \u5e74\u5fc5\u987b\u66f4\u65b0\uff0c\u5df2\u77e5\u4e00\u53f0\u65b0\u8bbe\u5907\u7684\u4ef7\u683c\u4e3a \u4e07\u5143\uff0c\u4e0b\u8868 2 \u7ed9\u51fa\u4e86\u6709\u5173\u6570\u636e\u3002\u8bd5\u7528\u52a8\u6001\u8ba1\u5212\u65b9\u6cd5\u786e\u5b9a\u8be5\u8bbe\u5907\u7684\u66f4\u65b0\u7565\u7b56\u3002\n\u8868 2\n\u3000\n\u3000\u5185\u5bb9\uff1a\u76f4\u7ebf\u8868\u3000\u3000\u5217\u6807\u9898\uff1a\u5e74\u9650\u3000\u5217\u5185\u5bb9\uff1a\u5e74\u9650\u3000\u5e74\u9650\u3000\u5e74\u9650\u3000\u5e74\u9650\n\u3000\u5217\u6807\u9898\uff1a\u4ef7\u683c\u3000\u5217\u5185\u5bb9\uff1a5\u3000\u5217\u5185\u5bb9\uff1a4\u3000\u5217\u5185\u5bb9\uff1a3\u3000\u5217\u5185\u5bb9\uff1a2\n\n\u8bbe\u5907\u7684\u66f4\u65b0\u7565\u7b56\u662f\u51b3\u5b9a\u5728\u6bcf\u4e00\u5e74\u662f\u5426\u66f4\u65b0\u8bbe\u5907\u3002\u6839\u636e\u9898\u610f\uff0c\u8bbe\u5907\u4f7f\u7528\u6ee1 6 \u5e74\u5fc5\u987b\u66f4\u65b0\uff0c\u5728\u6700\u540e 4 \u5e74\u5185\u5fc5\u987b\u66f4\u65b0\u4e00\u6b21\u3002\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u52a8\u6001\u8ba1\u5212\u6765\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u3002\n\n\u9996\u5148\uff0c\u6211\u4eec\u5b9a\u4e49\u4e00\u4e2a\u4e8c\u7ef4\u6570\u7ec4 dp\uff0c dp[i][j]\u8868\u793a\u5728\u7b2c i \u5e74\uff0c\u8bbe\u5907\u72b6\u6001\u4e3a j\u65f6\u7684\u6700\u5c0f\u603b\u82b1\u8d39\u3002\n\n\u8bbe\u5907\u72b6\u6001 j\u6709\u4e24\u79cd\u60c5\u51b5\uff0c 0 \u8868\u793a\u8bbe\u5907\u4e0d\u66f4\u65b0\uff0c 1 \u8868\u793a\u8bbe\u5907\u66f4\u65b0\u3002\n\n\u6839\u636e\u9898\u610f\uff0c\u521d\u59cb\u72b6\u6001\u4e3a dp[0][0] = 0\uff0c dp[0][1] = 100\uff08\u8868\u793a\u7b2c\u4e00\u5e74\u8d2d\u4e70\u65b0\u8bbe\u5907\u7684\u82b1\u8d39\uff09\u3002\n\n\u7136\u540e\uff0c\u6211\u4eec\u6839\u636e\u8bbe\u5907\u7684\u66f4\u65b0\u89c4\u5219\u6765\u8ba1\u7b97 dp\u6570\u7ec4\u7684\u503c\u3002\n\n\u5bf9\u4e8e\u7b2c i \u5e74\uff0c\u8bbe\u5907\u72b6\u6001\u4e3a 0\u65f6\uff08\u4e0d\u66f4\u65b0\u8bbe\u5907\uff09\uff0c\u6709\u4e24\u79cd\u60c5\u51b5\uff1a\n\n1\u3002\u5982\u679c\u7b2c i-1 \u5e74\u8bbe\u5907\u72b6\u6001\u4e3a 0\uff0c\u5373 dp[i-1][0]\uff0c\u5219\u7b2c i \u5e74\u8bbe\u5907\u72b6\u6001\u4e3a 0\u65f6\u7684\u603b\u82b1\u8d39\u4e3a dp[i][0] = dp[i-1][0] + \u4ef7\u683c[i]\u3002\n\n2\u3002\u5982\u679c\u7b2c i-1 \u5e74\u8bbe\u5907\u72b6\u6001\u4e3a 1\uff0c\u5373 dp[i-1][1]\uff0c\u5219\u7b2c i \u5e74\u8bbe\u5907\u72b6\u6001\u4e3a 0\u65f6\u7684\u603b\u82b1\u8d39\u4e3a dp[i][0] = dp[i-1][1] + \u4ef7\u683c[i]\u3002\n\n\u5bf9\u4e8e\u7b2c i \u5e74\uff0c\u8bbe\u5907\u72b6\u6001\u4e3a 1\u65f6\uff08\u66f4\u65b0\u8bbe\u5907\uff09\uff0c\u6709\u4e24\u79cd\u60c5\u51b5\uff1a\n\n1\u3002\u5982\u679c\u7b2c i-1 \u5e74\u8bbe\u5907\u72b6\u6001\u4e3a 0\uff0c\u5373 dp[i-1][0]\uff0c\u5219\u7b2c i \u5e74\u8bbe\u5907\u72b6\u6001\u4e3a 1\u65f6\u7684\u603b\u82b1\u8d39\u4e3a dp[i][1] = dp[i-1][0] + 100 + \u4ef7\u683c[i]\u3002\n\n2\u3002\u5982\u679c\u7b2c i-1 \u5e74\u8bbe\u5907\u72b6\u6001\u4e3a 1\uff0c\u5373 dp[i-1][1]\uff0c\u5219\u7b2c i \u5e74\u8bbe\u5907\u72b6\u6001\u4e3a 1\u65f6\u7684\u603b\u82b1\u8d39\u4e3a dp[i][1] = dp[i-1][1] + \u4ef7\u683c[i]\u3002\n\n\u6700\u540e\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230 dp\u6570\u7ec4\u7684\u6700\u540e\u4e00\u884c\u7684\u6700\u5c0f\u503c\uff0c\u5373\u4e3a\u8bbe\u5907\u7684\u6700\u5c0f\u603b\u82b1\u8d39\u3002\n\n\u4e0b\u9762\u662f\u5177\u4f53\u7684\u8ba1\u7b97\u8fc7\u7a0b\uff1a\n\n\u76f4\u7ebf\u8868\u3000\u5217\u6807\u9898\uff1a\u5e74\u9650\u3000\u5217\u5185\u5bb9\uff1a\u7b2c 1 \u5e74 \u3000\u5217\u5185\u5bb9\uff1a\u7b2c 2 \u5e74 \u3000\u5217\u5185\u5bb9\uff1a\u7b2c 3 \u5e74 \u3000\u5217\u5185\u5bb9\uff1a\u7b2c 4 \u5e74 \n\u76f4\u7ebf\u8868\u3000\u5217\u6807\u9898\uff1a\u4ef7\u683c\u3000\u5217\u5185\u5bb9\uff1a5 \u3000\u5217\u5185\u5bb9\uff1a4 \u3000\u5217\u5185\u5bb9\uff1a3 \u3000\u5217\u5185\u5bb9\uff1a2 \n\u3000\u5217\u5185\u5bb9\uff1a\u3000dp[0][0] = 0 | dp[1][0] = dp[0][0] + 5 = 5 | dp[2][0] = dp[1][0] + 4 = 9 | dp[3][0] = dp[2][0] + 3 = 12 \n\u3000\u5217\u5185\u5bb9\uff1a\u3000dp[0][1] = 100 | dp[1][1] = dp[0][1] + 100 + 4 = 204 | dp[2][1] = dp[1][1] + 4 + 3 = 211 | dp[3][1] = dp[2][1] + 3 + 2 = 219 \n\u3000\u5217\u5185\u5bb9\uff1a\u6700\u5c0f\u503c\u3000min(dp[3][0], dp[3][1]) = 12 | min(dp[3][0], dp[3][1]) = 12 | min(dp[3][0], dp[3][1]) = 12 | min(dp[3][0], dp[3][1]) = 12 \n\n\u6839\u636e\u8ba1\u7b97\u7ed3\u679c\uff0c\u8bbe\u5907\u7684\u6700\u5c0f\u603b\u82b1\u8d39\u4e3a 12\u4e07\u5143\u3002\u6839\u636e dp\u6570\u7ec4\u7684\u503c\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u8bbe\u5907\u7684\u66f4\u65b0\u7565\u7b56\uff1a\n\n\u7b2c 1 \u5e74\uff1a\u4e0d\u66f4\u65b0\u8bbe\u5907\n\u7b2c 2 \u5e74\uff1a\u4e0d\u66f4\u65b0\u8bbe\u5907\n\u7b2c 3 \u5e74\uff1a\u4e0d\u66f4\u65b0\u8bbe\u5907\n\u7b2c 4 \u5e74\uff1a\u4e0d\u66f4\u65b0\u8bbe\u5907\n\n\u56e0\u6b64\uff0c\u8bbe\u5907\u7684\u66f4\u65b0\u7565\u7b56\u662f\u5728\u63a5\u4e0b\u6765\u7684 4 \u5e74\u5185\u90fd\u4e0d\u66f4\u65b0\u8bbe\u5907\u3002\n\