\u8be5\u7a0b\u5e8f\u662f\u4e00\u4e2a\u7f13\u5b58\u8c03\u5ea6\u4f18\u5316\u7cfb\u7edf，\u4e13\u95e8\u7528\u4e8e\u89e3\u51b3\u8ba1\u7b97\u56fe\u4e2d\u4efb\u52a1\u6267\u884c\u7684\u7f13\u5b58\u5206\u914d\u95ee\u9898\u3002\u5728\u8ba1\u7b97\u5bc6\u96c6\u578b\u5e94\u7528\u4e2d，\u5f53\u4efb\u52a1\u4e4b\u95f4\u5b58\u5728\u4f9d\u8d56\u5173\u7cfb\u4e14\u9700\u8981\u5171\u4eab\u6709\u9650\u7684\u7f13\u5b58\u8d44\u6e90\u65f6，\u5982\u4f55\u9ad8\u6548\u7ba1\u7406\u7f13\u5b58\u5206\u914d\u6210\u4e3a\u5173\u952e\u6027\u80fd\u74f6\u9888\u3002\u672c\u7a0b\u5e8f\u901a\u8fc7\u667a\u80fd\u7684\u7f13\u5b58\u8c03\u5ea6\u7b97\u6cd5，\u5728\u4fdd\u8bc1\u4efb\u52a1\u6b63\u786e\u6267\u884c\u7684\u524d\u63d0\u4e0b，\u6700\u5c0f\u5316\u56e0\u7f13\u5b58\u4e0d\u8db3\u5bfc\u81f4\u7684\u989d\u5916\u6570\u636e\u642c\u8fd0\u6210\u672c\u3002<\/p>\n
\u7a0b\u5e8f\u4e3b\u8981\u5305\u542b\u4e09\u5927\u529f\u80fd\u6a21\u5757：<\/p>\n
1. \u7f13\u5b58\u7ba1\u7406\u6a21\u5757<\/p>\n
\u52a8\u6001\u5206\u914d\u548c\u91ca\u653eL1\u7f13\u5b58\u7a7a\u95f4<\/p>\n<\/li>\n
\u5904\u7406\u7f13\u5b58\u7a7a\u95f4\u4e0d\u8db3\u65f6\u7684spill（\u6362\u51fa）\u64cd\u4f5c<\/p>\n<\/li>\n
\u8bb0\u5f55\u7f13\u5b58\u4f7f\u7528\u60c5\u51b5\u548cspill\u5386\u53f2<\/p>\n<\/li>\n<\/ul>\n
2. \u4efb\u52a1\u8c03\u5ea6\u6a21\u5757<\/p>\n
\u57fa\u4e8e\u4efb\u52a1\u4f9d\u8d56\u5173\u7cfb\u7684\u62d3\u6251\u6392\u5e8f\u8c03\u5ea6<\/p>\n<\/li>\n
\u5c31\u7eea\u961f\u5217\u7ba1\u7406\u548c\u4efb\u52a1\u6267\u884c\u987a\u5e8f\u4f18\u5316<\/p>\n<\/li>\n
\u5904\u7406\u4efb\u52a1\u56e0\u7f13\u5b58\u4e0d\u8db3\u800c\u63a8\u8fdf\u6267\u884c\u7684\u60c5\u51b5<\/p>\n<\/li>\n<\/ul>\n
3. \u6570\u636e\u52a0\u8f7d\u4e0e\u7ed3\u679c\u5206\u6790\u6a21\u5757<\/p>\n
\u4eceJSON\u6587\u4ef6\u52a0\u8f7d\u8ba1\u7b97\u56fe\u6570\u636e<\/p>\n<\/li>\n
\u6267\u884c\u5b8c\u6574\u7684\u8c03\u5ea6\u6d41\u7a0b<\/p>\n<\/li>\n
\u751f\u6210\u8be6\u7ec6\u7684\u6027\u80fd\u5206\u6790\u62a5\u544a<\/p>\n<\/li>\n<\/ul>\n
class SchedulingSolution:
\n def __init__(self, l1_capacity=65536):
\n self.l1_capacity = l1_capacity # \u7f13\u5b58\u603b\u5bb9\u91cf(64KB)
\n self.l1_used = {} # \u5f53\u524d\u5df2\u5206\u914d\u7f13\u51b2\u533a{\u7f13\u51b2\u533aID: \u5927\u5c0f}
\n self.extra_movement = 0 # \u603b\u989d\u5916\u6570\u636e\u642c\u8fd0\u91cf
\n self.spill_log = [] # Spill\u64cd\u4f5c\u8bb0\u5f55\u5217\u8868
\n self.finished = set() # \u5df2\u5b8c\u6210\u4efb\u52a1\u96c6\u5408<\/p>\n
\u6570\u636e\u7ed3\u6784\u8bbe\u8ba1\u7279\u70b9：<\/p>\n
l1_used\u5b57\u5178：\u91c7\u7528\u54c8\u5e0c\u8868\u5b58\u50a8\u5f53\u524d\u7f13\u5b58\u5206\u914d\u72b6\u6001，\u5b9e\u73b0O(1)\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u67e5\u627e\u548c\u63d2\u5165\u64cd\u4f5c<\/p>\n<\/li>\n
spill_log\u5217\u8868：\u987a\u5e8f\u8bb0\u5f55\u6240\u6709spill\u64cd\u4f5c，\u4fbf\u4e8e\u540e\u7eed\u5206\u6790\u548c\u8c03\u8bd5<\/p>\n<\/li>\n
finished\u96c6\u5408：\u5229\u7528\u96c6\u5408\u7684\u552f\u4e00\u6027\u7279\u6027，\u5feb\u901f\u5224\u65ad\u4efb\u52a1\u5b8c\u6210\u72b6\u6001<\/p>\n<\/li>\n<\/ul>\n
{
\n "Id": "\u4efb\u52a1\u552f\u4e00\u6807\u8bc6\u7b26",
\n "BufId": "\u5173\u8054\u7684\u7f13\u51b2\u533aID",
\n "Size": "\u6240\u9700\u7f13\u5b58\u5927\u5c0f",
\n "Op": "\u64cd\u4f5c\u7c7b\u578b(\u5982COPY_IN)"
\n}<\/p>\n
["\u6e90\u4efb\u52a1ID", "\u76ee\u6807\u4efb\u52a1ID"] # \u8868\u793a\u4efb\u52a1\u95f4\u7684\u4f9d\u8d56\u5173\u7cfb<\/p>\n
\u7a0b\u5e8f\u4f7f\u7528\u4e09\u79cd\u6838\u5fc3\u6570\u636e\u7ed3\u6784\u7ba1\u7406\u4efb\u52a1\u4f9d\u8d56：<\/p>\n
\u5165\u5ea6\u8868(indeg)<\/p>\n
\u7c7b\u578b：\u5b57\u5178{\u4efb\u52a1ID: \u5165\u5ea6\u503c}<\/p>\n<\/li>\n
\u529f\u80fd：\u8bb0\u5f55\u6bcf\u4e2a\u4efb\u52a1\u5c1a\u672a\u5b8c\u6210\u7684\u76f4\u63a5\u524d\u9a71\u4efb\u52a1\u6570\u91cf<\/p>\n<\/li>\n
\u4f5c\u7528：\u5feb\u901f\u5224\u65ad\u4efb\u52a1\u662f\u5426\u5c31\u7eea（\u5165\u5ea6\u4e3a0）<\/p>\n<\/li>\n<\/ul>\n
\u5b50\u8282\u70b9\u5173\u7cfb\u8868(children)<\/p>\n
\u7c7b\u578b：\u5b57\u5178{\u4efb\u52a1ID: [\u76f4\u63a5\u540e\u7ee7\u4efb\u52a1\u5217\u8868]}<\/p>\n<\/li>\n
\u529f\u80fd：\u5efa\u7acb\u4efb\u52a1\u5230\u5176\u540e\u7ee7\u4efb\u52a1\u7684\u6620\u5c04<\/p>\n<\/li>\n
\u4f5c\u7528：\u5f53\u524d\u4efb\u52a1\u5b8c\u6210\u540e\u5feb\u901f\u66f4\u65b0\u540e\u7ee7\u4efb\u52a1\u72b6\u6001<\/p>\n<\/li>\n<\/ul>\n
\u5c31\u7eea\u961f\u5217(ready)<\/p>\n
\u7c7b\u578b：collections.deque\u53cc\u7aef\u961f\u5217<\/p>\n<\/li>\n
\u529f\u80fd：\u5b58\u50a8\u5f53\u524d\u53ef\u7acb\u5373\u6267\u884c\u7684\u4efb\u52a1<\/p>\n<\/li>\n
\u7279\u70b9：\u652f\u6301\u9ad8\u6548\u7684\u961f\u9996\u5f39\u51fa\u548c\u961f\u5c3e\u8ffd\u52a0\u64cd\u4f5c<\/p>\n<\/li>\n<\/ul>\n
def schedule_case(case_name, case_json, l1_capacity=65536):
\n # 1. \u521d\u59cb\u5316\u4f9d\u8d56\u5173\u7cfb\u6570\u636e\u7ed3\u6784
\n indeg = {} # \u5165\u5ea6\u8868
\n children = {} # \u5b50\u8282\u70b9\u5173\u7cfb<\/p>\n
# 2. \u6784\u5efa\u8ba1\u7b97\u56fe
\n for n in nodes:
\n indeg[n["Id"]] = 0
\n children[n["Id"]] = []<\/p>\n
for u, v in edges:
\n indeg[v] += 1
\n children[u].append(v)<\/p>\n
# 3. \u521d\u59cb\u5316\u5c31\u7eea\u961f\u5217
\n ready = deque([n for n in nodes if indeg[n["Id"]] == 0])
\n solution = SchedulingSolution(l1_capacity)<\/p>\n
# 4. \u4e3b\u8c03\u5ea6\u5faa\u73af
\n while ready:
\n task = ready.popleft() # \u53d6\u51fa\u961f\u9996\u4efb\u52a1
\n tid = task["Id"]<\/p>\n
# \u5c1d\u8bd5\u5206\u914d\u7f13\u5b58
\n if not solution.allocate_buffer(…):
\n # \u7f13\u5b58\u4e0d\u8db3，\u63a8\u8fdf\u6267\u884c
\n solution._postpone_allocation(task, ready)
\n continue<\/p>\n
# \u6267\u884c\u4efb\u52a1\u5e76\u66f4\u65b0\u72b6\u6001
\n solution.finished.add(tid)
\n solution.release_buffer(…)<\/p>\n
# \u66f4\u65b0\u540e\u7ee7\u4efb\u52a1\u72b6\u6001
\n for v in children[tid]:
\n indeg[v] -= 1
\n if indeg[v] == 0:
\n next_node = next(n for n in nodes if n["Id"] == v)
\n ready.append(next_node)<\/p>\n
return solution.summary()<\/p>\n
\u7b97\u6cd5\u590d\u6742\u5ea6\u5206\u6790：<\/p>\n
\u65f6\u95f4\u590d\u6742\u5ea6：O(V + E)，\u5176\u4e2dV\u4e3a\u8282\u70b9\u6570，E\u4e3a\u8fb9\u6570<\/p>\n<\/li>\n
\u7a7a\u95f4\u590d\u6742\u5ea6：O(V + E)，\u7528\u4e8e\u5b58\u50a8\u56fe\u7ed3\u6784\u548c\u5404\u79cd\u8f85\u52a9\u6570\u636e\u7ed3\u6784<\/p>\n<\/li>\n<\/ul>\n
def allocate_buffer(self, buf_id, size, is_copyin=False):
\n # \u68c0\u67e5\u662f\u5426\u5df2\u5206\u914d
\n if buf_id in self.l1_used:
\n return True<\/p>\n
# \u68c0\u67e5\u76f4\u63a5\u5206\u914d\u53ef\u80fd\u6027
\n current_usage = self._current_usage()
\n if current_usage + size <= self.l1_capacity:
\n self.l1_used[buf_id] = size
\n return True<\/p>\n
# \u9700\u8981spill\u64cd\u4f5c
\n if self._try_spill(size):
\n self.l1_used[buf_id] = size
\n return True<\/p>\n
return False # \u5206\u914d\u5931\u8d25<\/p>\n
\u7f13\u5b58\u5206\u914d\u7b56\u7565\u7279\u70b9：<\/p>\n
\u60f0\u6027\u5206\u914d：\u53ea\u6709\u5728\u771f\u6b63\u9700\u8981\u65f6\u624d\u5206\u914d\u7f13\u5b58<\/p>\n<\/li>\n
\u907f\u514d\u91cd\u590d\u5206\u914d：\u901a\u8fc7\u68c0\u67e5l1_used\u5b57\u5178\u9632\u6b62\u540c\u4e00\u7f13\u51b2\u533a\u7684\u91cd\u590d\u5206\u914d<\/p>\n<\/li>\n
\u6e10\u8fdb\u5f0fspill：\u5f53\u76f4\u63a5\u5206\u914d\u5931\u8d25\u65f6，\u5c1d\u8bd5\u901a\u8fc7spill\u817e\u51fa\u7a7a\u95f4<\/p>\n<\/li>\n
def _try_spill(self, required_size):
\n freed = 0
\n # \u5faa\u73af\u76f4\u5230\u6ee1\u8db3\u7a7a\u95f4\u9700\u6c42\u6216\u65e0\u53efspill\u7684\u7f13\u51b2\u533a
\n while (self._current_usage() + required_size > self.l1_capacity
\n and self.l1_used):
\n # \u9009\u62e9\u6700\u5927\u7684\u7f13\u51b2\u533a\u4f5c\u4e3a\u727a\u7272\u8005
\n victim = max(self.l1_used.items(), key=lambda x: x[1])
\n buf_id, sz = victim<\/p>\n
# \u8bb0\u5f55spill\u64cd\u4f5c
\n self.spill_log.append((buf_id, sz))
\n self.extra_movement += 2 * sz # \u8ba1\u7b97\u989d\u5916\u5f00\u9500<\/p>\n
# \u6267\u884cspill
\n del self.l1_used[buf_id]
\n freed += sz<\/p>\n
return self._current_usage() + required_size <= self.l1_capacity<\/p>\n
Spill\u7b56\u7565\u5206\u6790：<\/p>\n
\u8d2a\u5fc3\u9009\u62e9\u7b56\u7565：\u6bcf\u6b21\u9009\u62e9\u5c3a\u5bf8\u6700\u5927\u7684\u7f13\u51b2\u533a\u8fdb\u884cspill<\/p>\n<\/li>\n
\u6210\u672c\u8ba1\u7b97\u6a21\u578b：\u6bcf\u6b21spill\u4ea7\u751f2\u500d\u5927\u5c0f\u7684\u6570\u636e\u642c\u8fd0\u6210\u672c（\u5199\u51fa+\u8bfb\u56de）<\/p>\n<\/li>\n
\u7ec8\u6b62\u6761\u4ef6：\u6ee1\u8db3\u7a7a\u95f4\u9700\u6c42\u6216\u65e0\u53efspill\u7684\u7f13\u51b2\u533a<\/p>\n<\/li>\n<\/ul>\n
def _postpone_allocation(self, task, ready_queue):
\n ready_queue.append(task) # \u7b80\u5355\u5730\u5c06\u4efb\u52a1\u653e\u56de\u961f\u5217\u672b\u5c3e<\/p>\n
\u63a8\u8fdf\u7b56\u7565\u5206\u6790：<\/p>\n
\u5b9e\u73b0\u7b80\u5355：\u4ec5\u5c06\u4efb\u52a1\u91cd\u65b0\u653e\u5165\u5c31\u7eea\u961f\u5217<\/p>\n<\/li>\n
\u6f5c\u5728\u95ee\u9898：\u53ef\u80fd\u4ea7\u751f\u9965\u997f\u73b0\u8c61，\u9700\u8981\u7ed3\u5408\u5b9e\u9645\u573a\u666f\u4f18\u5316<\/p>\n<\/li>\n
\u6539\u8fdb\u7a7a\u95f4：\u53ef\u5f15\u5165\u4f18\u5148\u7ea7\u673a\u5236\u6216\u65f6\u95f4\u6233\u907f\u514d\u65e0\u9650\u63a8\u8fdf<\/p>\n<\/li>\n<\/ul>\n
\u7a0b\u5e8f\u901a\u8fc7\u4ee5\u4e0b\u7b56\u7565\u4f18\u5316\u7f13\u5b58\u4f7f\u7528：<\/p>\n
1. \u52a8\u6001\u7a7a\u95f4\u7ba1\u7406<\/p>\n
\u5b9e\u65f6\u76d1\u63a7\u7f13\u5b58\u4f7f\u7528\u7387：_current_usage()\u65b9\u6cd5<\/p>\n<\/li>\n
\u6309\u9700\u5206\u914d\u548c\u91ca\u653e，\u907f\u514d\u9759\u6001\u5206\u914d\u7684\u7a7a\u95f4\u6d6a\u8d39<\/p>\n<\/li>\n<\/ul>\n
2. \u667a\u80fdspill\u89e6\u53d1\u673a\u5236<\/p>\n
\u4ec5\u5728\u5fc5\u8981\u65f6\u89e6\u53d1spill\u64cd\u4f5c<\/p>\n<\/li>\n
\u901a\u8fc7\u7cbe\u786e\u7684\u7a7a\u95f4\u8ba1\u7b97\u907f\u514d\u4e0d\u5fc5\u8981\u7684spill<\/p>\n<\/li>\n<\/ul>\n
\u6570\u636e\u7ed3\u6784\u9009\u62e9\u4f18\u5316：<\/p>\n
\u4f7f\u7528\u5b57\u5178\u5b58\u50a8\u7f13\u5b58\u5206\u914d\u72b6\u6001：O(1)\u7684\u67e5\u627e\u548c\u63d2\u5165<\/p>\n<\/li>\n
\u4f7f\u7528\u53cc\u7aef\u961f\u5217\u7ba1\u7406\u5c31\u7eea\u4efb\u52a1：O(1)\u7684\u5165\u961f\u548c\u51fa\u961f\u64cd\u4f5c<\/p>\n<\/li>\n
\u4f7f\u7528\u96c6\u5408\u8bb0\u5f55\u5b8c\u6210\u72b6\u6001：O(1)\u7684\u6210\u5458\u68c0\u67e5<\/p>\n<\/li>\n<\/ul>\n
\u7b97\u6cd5\u6d41\u7a0b\u4f18\u5316：<\/p>\n
\u62d3\u6251\u6392\u5e8f\u907f\u514d\u91cd\u590d\u8ba1\u7b97\u4f9d\u8d56\u5173\u7cfb<\/p>\n<\/li>\n
\u589e\u91cf\u5f0f\u66f4\u65b0\u540e\u7ee7\u4efb\u52a1\u72b6\u6001<\/p>\n<\/li>\n
\u5c40\u90e8\u6027\u4f18\u5316\u7684\u4efb\u52a1\u8c03\u5ea6\u987a\u5e8f<\/p>\n<\/li>\n<\/ul>\n
\u4e3b\u8981\u7a7a\u95f4\u5f00\u9500\u6765\u6e90：<\/p>\n
\u8ba1\u7b97\u56fe\u5b58\u50a8：O(V + E)<\/p>\n<\/li>\n
\u4f9d\u8d56\u5173\u7cfb\u6570\u636e\u7ed3\u6784：O(V + E)<\/p>\n<\/li>\n
\u7f13\u5b58\u72b6\u6001\u8ddf\u8e2a：O(V)\u6700\u574f\u60c5\u51b5<\/p>\n<\/li>\n
\u8f85\u52a9\u8bb0\u5f55\u7ed3\u6784：O(V)\u91cf\u7ea7<\/p>\n<\/li>\n
\u603b\u7a7a\u95f4\u590d\u6742\u5ea6：\u200b O(V + E)，\u4e0e\u95ee\u9898\u89c4\u6a21\u7ebf\u6027\u76f8\u5173<\/p>\n
1. \u795e\u7ecf\u7f51\u7edc\u63a8\u7406\u4f18\u5316<\/p>\n
\u9002\u7528\u4e8e\u8ba1\u7b97\u56fe\u5f62\u5f0f\u7684\u795e\u7ecf\u7f51\u7edc\u6a21\u578b<\/p>\n<\/li>\n
\u4f18\u5316\u4e2d\u95f4\u7279\u5f81\u56fe\u7684\u7f13\u5b58\u4f7f\u7528<\/p>\n<\/li>\n
\u51cf\u5c11GPU\/TPU\u7b49\u52a0\u901f\u5668\u7684\u5185\u5b58\u4ea4\u6362\u5f00\u9500<\/p>\n<\/li>\n<\/ul>\n
2. \u6d41\u5f0f\u8ba1\u7b97\u7cfb\u7edf<\/p>\n
\u6570\u636e\u5904\u7406\u6d41\u6c34\u7ebf\u7684\u8d44\u6e90\u4f18\u5316<\/p>\n<\/li>\n
\u6709\u9650\u5185\u5b58\u6761\u4ef6\u4e0b\u7684\u4efb\u52a1\u8c03\u5ea6<\/p>\n<\/li>\n
\u5b9e\u65f6\u7cfb\u7edf\u7684\u6027\u80fd\u4fdd\u969c<\/p>\n<\/li>\n<\/ul>\n
3. \u7f16\u8bd1\u5668\u4f18\u5316<\/p>\n
\u9759\u6001\u5185\u5b58\u5206\u914d\u4f18\u5316<\/p>\n<\/li>\n
\u5faa\u73af\u5d4c\u5957\u7684\u6570\u636e\u5c40\u90e8\u6027\u4f18\u5316<\/p>\n<\/li>\n
\u81ea\u52a8\u5185\u5b58\u7ba1\u7406\u7b56\u7565\u751f\u6210<\/p>\n<\/li>\n<\/ul>\n
\u53ef\u6269\u5c55\u7684\u6539\u8fdb\u65b9\u5411：<\/p>\n
1. \u9ad8\u7ea7spill\u7b56\u7565<\/p>\n
# \u66ff\u4ee3\u73b0\u6709\u7684\u6700\u5927\u5c3a\u5bf8\u4f18\u5148\u7b56\u7565
\ndef _advanced_spill_strategy(self, required_size):
\n # \u57fa\u4e8e\u8bbf\u95ee\u9891\u7387\u7684spill
\n # \u57fa\u4e8e\u672a\u6765\u4f7f\u7528\u9884\u6d4b\u7684spill
\n # \u591a\u76ee\u6807\u4f18\u5316\u7684spill\u51b3\u7b56
\n pass<\/p>\n
2. \u4f18\u5148\u7ea7\u8c03\u5ea6\u673a\u5236<\/p>\n
def prioritize_tasks(self, ready_queue):
\n # \u57fa\u4e8e\u4efb\u52a1\u5173\u952e\u8def\u5f84\u7684\u4f18\u5148\u7ea7
\n # \u57fa\u4e8e\u7f13\u5b58\u9700\u6c42\u7684\u7d27\u8feb\u6027\u4f18\u5148\u7ea7
\n # \u52a8\u6001\u8c03\u6574\u7684\u4f18\u5148\u7ea7\u7b56\u7565
\n pass<\/p>\n
3. \u5206\u5e03\u5f0f\u7f13\u5b58\u652f\u6301<\/p>\n
class DistributedSchedulingSolution(SchedulingSolution):
\n def __init__(self, l1_capacities, network_cost_model):
\n # \u591a\u7ea7\u7f13\u5b58\u5c42\u6b21\u652f\u6301
\n # \u7f51\u7edc\u4f20\u8f93\u6210\u672c\u5efa\u6a21
\n # \u534f\u540c\u7f13\u5b58\u7ba1\u7406
\n pass<\/p>\n
\u7a0b\u5e8f\u4e3b\u8981\u5173\u6ce8\u4ee5\u4e0b\u6027\u80fd\u6307\u6807：<\/p>\n
1. \u989d\u5916\u6570\u636e\u642c\u8fd0\u91cf(extra_movement)<\/p>\n
\u76f4\u63a5\u53cd\u6620\u7b97\u6cd5\u4f18\u5316\u6548\u679c<\/p>\n<\/li>\n
\u4e0e\u7cfb\u7edf\u80fd\u8017\u548c\u5ef6\u8fdf\u6b63\u76f8\u5173<\/p>\n<\/li>\n
\u4e3b\u8981\u4f18\u5316\u76ee\u6807<\/p>\n<\/li>\n<\/ul>\n
2. Spill\u64cd\u4f5c\u6b21\u6570\u548c\u89c4\u6a21<\/p>\n
\u53cd\u6620\u7f13\u5b58\u51b2\u7a81\u7684\u4e25\u91cd\u7a0b\u5ea6<\/p>\n<\/li>\n
\u6307\u5bfc\u7f13\u5b58\u5bb9\u91cf\u89c4\u5212<\/p>\n<\/li>\n
\u7b97\u6cd5\u8c03\u4f18\u7684\u91cd\u8981\u53c2\u8003<\/p>\n<\/li>\n<\/ul>\n
\u57fa\u4e8e\u7b97\u6cd5\u8bbe\u8ba1，\u9884\u671f\u5728\u4ee5\u4e0b\u65b9\u9762\u4ea7\u751f\u4f18\u5316\u6548\u679c：<\/p>\n
1. \u7f13\u5b58\u547d\u4e2d\u7387\u63d0\u5347<\/p>\n
\u901a\u8fc7\u667a\u80fdspill\u51cf\u5c11\u4e0d\u5fc5\u8981\u7684\u7f13\u5b58\u4ea4\u6362<\/p>\n<\/li>\n
\u5229\u7528\u4efb\u52a1\u4f9d\u8d56\u5173\u7cfb\u4f18\u5316\u6570\u636e\u5c40\u90e8\u6027<\/p>\n<\/li>\n<\/ul>\n
2. \u7cfb\u7edf\u541e\u5410\u91cf\u6539\u5584<\/p>\n
\u51cf\u5c11\u6570\u636e\u642c\u8fd0\u7b49\u5f85\u65f6\u95f4<\/p>\n<\/li>\n
\u63d0\u9ad8\u8ba1\u7b97\u8d44\u6e90\u5229\u7528\u7387<\/p>\n<\/li>\n<\/ul>\n
3. \u80fd\u8017\u4f18\u5316<\/p>\n
\u964d\u4f4e\u5185\u5b58\u8bbf\u95ee\u9891\u6b21<\/p>\n<\/li>\n
\u51cf\u5c11\u6570\u636e\u4f20\u8f93\u80fd\u8017<\/p>\n<\/li>\n<\/ul>\n
\u672c\u7a0b\u5e8f\u5b9e\u73b0\u4e86\u4e00\u4e2a\u5b8c\u6574\u7684\u7f13\u5b58\u8c03\u5ea6\u4f18\u5316\u7cfb\u7edf，\u901a\u8fc7\u7cbe\u5999\u7684\u6570\u636e\u7ed3\u6784\u8bbe\u8ba1\u548c\u9ad8\u6548\u7684\u7b97\u6cd5\u5b9e\u73b0，\u89e3\u51b3\u4e86\u6709\u9650\u7f13\u5b58\u6761\u4ef6\u4e0b\u7684\u4efb\u52a1\u8c03\u5ea6\u95ee\u9898\u3002\u7a0b\u5e8f\u7684\u6838\u5fc3\u4ef7\u503c\u5728\u4e8e：<\/p>\n
\u5b9e\u7528\u7684\u7f13\u5b58\u7ba1\u7406\u6846\u67b6：\u4e3a\u7c7b\u4f3c\u95ee\u9898\u63d0\u4f9b\u4e86\u53ef\u590d\u7528\u7684\u89e3\u51b3\u65b9\u6848\u6a21\u677f<\/p>\n<\/li>\n
\u9ad8\u6548\u7684\u56fe\u7b97\u6cd5\u5e94\u7528：\u5c06\u62d3\u6251\u6392\u5e8f\u4e0e\u8d44\u6e90\u7ea6\u675f\u8c03\u5ea6\u6709\u673a\u7ed3\u5408<\/p>\n<\/li>\n
\u53ef\u6269\u5c55\u7684\u67b6\u6784\u8bbe\u8ba1：\u4e3a\u540e\u7eed\u7b97\u6cd5\u6539\u8fdb\u7559\u6709\u5145\u5206\u63a5\u53e3<\/p>\n<\/li>\n
\u8be5\u7a0b\u5e8f\u4e0d\u4ec5\u5177\u6709\u7406\u8bba\u610f\u4e49，\u5728\u5b9e\u9645\u5de5\u7a0b\u5e94\u7528\u4e2d\u4e5f\u6709\u91cd\u8981\u4ef7\u503c\u3002\u7279\u522b\u662f\u5728\u8fb9\u7f18\u8ba1\u7b97\u3001\u79fb\u52a8\u8bbe\u5907\u7b49\u8d44\u6e90\u53d7\u9650\u73af\u5883\u4e2d，\u7c7b\u4f3c\u7684\u7f13\u5b58\u4f18\u5316\u6280\u672f\u80fd\u591f\u663e\u8457\u63d0\u5347\u7cfb\u7edf\u6027\u80fd\u3002<\/p>\n
\u672a\u6765\u53ef\u4ee5\u4ece\u591a\u4e2a\u7ef4\u5ea6\u7ee7\u7eed\u6df1\u5316\u8be5\u7814\u7a76：<\/p>\n
\u673a\u5668\u5b66\u4e60\u589e\u5f3a：\u5229\u7528\u5f3a\u5316\u5b66\u4e60\u4f18\u5316spill\u51b3\u7b56<\/p>\n<\/li>\n
\u591a\u76ee\u6807\u4f18\u5316：\u540c\u65f6\u8003\u8651\u6027\u80fd\u3001\u80fd\u8017\u3001\u6e29\u5ea6\u7b49\u591a\u4e2a\u4f18\u5316\u76ee\u6807<\/p>\n<\/li>\n
\u81ea\u9002\u5e94\u53c2\u6570\u8c03\u6574：\u6839\u636e\u5de5\u4f5c\u8d1f\u8f7d\u7279\u5f81\u52a8\u6001\u8c03\u6574\u7b97\u6cd5\u53c2\u6570<\/p>\n<\/li>\n
\u672c\u7a0b\u5e8f\u4f5c\u4e3a\u4e00\u4e2a\u57fa\u7840\u6846\u67b6，\u4e3a\u540e\u7eed\u66f4\u590d\u6742\u7684\u7f13\u5b58\u4f18\u5316\u7814\u7a76\u5960\u5b9a\u4e86\u575a\u5b9e\u7684\u6280\u672f\u57fa\u7840\u3002<\/p>\n
#!\/usr\/bin\/env python3
\n# -*- coding: utf-8 -*-<\/p>\n
import os
\nimport json
\nfrom collections import deque<\/p>\n
class SchedulingSolution:
\n def __init__(self, l1_capacity=65536):
\n # \u7f13\u5b58\u5bb9\u91cf
\n self.l1_capacity = l1_capacity
\n # \u5f53\u524d\u5df2\u5206\u914d\u7684\u7f13\u51b2\u533a {buf_id: size}
\n self.l1_used = {}
\n # \u603b\u642c\u8fd0\u91cf
\n self.extra_movement = 0
\n # spill \u8bb0\u5f55
\n self.spill_log = []
\n # \u5df2\u5b8c\u6210\u7684\u4efb\u52a1
\n self.finished = set()<\/p>\n
def _current_usage(self):
\n return sum(self.l1_used.values())<\/p>\n
def allocate_buffer(self, buf_id, size, is_copyin=False):
\n """
\n \u4e3a buf_id \u5206\u914d L1 \u7f13\u5b58，\u5982\u679c\u7a7a\u95f4\u4e0d\u8db3\u5219 spill\u3002
\n """
\n if buf_id in self.l1_used:
\n return True # \u5df2\u7ecf\u5206\u914d\u8fc7<\/p>\n
# \u5982\u679c\u76f4\u63a5\u80fd\u653e\u4e0b
\n if self._current_usage() + size <= self.l1_capacity:
\n self.l1_used[buf_id] = size
\n return True<\/p>\n
# \u5c1d\u8bd5 spill
\n if self._try_spill(size):
\n self.l1_used[buf_id] = size
\n return True<\/p>\n
return False # spill \u540e\u4ecd\u7136\u653e\u4e0d\u4e0b<\/p>\n
def _try_spill(self, required_size):
\n """
\n \u5c1d\u8bd5\u6362\u51fa\u4e00\u4e9b\u7f13\u51b2\u533a，\u817e\u51fa\u7a7a\u95f4\u3002
\n \u7b56\u7565：\u4f18\u5148\u6362\u51fa\u6700\u5927\u7684\u3002
\n """
\n freed = 0
\n while self._current_usage() + required_size > self.l1_capacity and self.l1_used:
\n # \u627e\u5230\u4e00\u4e2a\u6700\u5927\u7684 buf \u6362\u51fa
\n victim = max(self.l1_used.items(), key=lambda x: x[1])
\n buf_id, sz = victim
\n self.spill_log.append((buf_id, sz))
\n self.extra_movement += 2 * sz # spill + reload
\n del self.l1_used[buf_id]
\n freed += sz<\/p>\n
return self._current_usage() + required_size <= self.l1_capacity<\/p>\n
def release_buffer(self, buf_id):
\n """\u91ca\u653e\u5df2\u5b8c\u6210\u4efb\u52a1\u5360\u7528\u7684\u7f13\u5b58"""
\n if buf_id in self.l1_used:
\n del self.l1_used[buf_id]<\/p>\n
def _postpone_allocation(self, task, ready_queue):
\n """
\n \u987a\u5e8f\u8c03\u6574：\u628a\u5f53\u524d task \u63a8\u5230\u961f\u5c3e，\u5ef6\u8fdf\u6267\u884c
\n """
\n ready_queue.append(task)<\/p>\n
def summary(self):
\n return {
\n "extra_movement": self.extra_movement,
\n "spill_log": self.spill_log
\n }<\/p>\n
def load_case(json_path):
\n """\u8bfb\u53d6\u8ba1\u7b97\u56fe json"""
\n with open(json_path, "r", encoding="utf-8") as f:
\n return json.load(f)<\/p>\n
def schedule_case(case_name, case_json, l1_capacity=65536):
\n """
\n \u8c03\u5ea6\u4e00\u4e2a case，\u8fd4\u56de\u7ed3\u679c
\n """
\n nodes = case_json["Nodes"]
\n edges = case_json["Edges"]<\/p>\n
# \u6784\u5efa\u4f9d\u8d56\u5173\u7cfb
\n indeg = {}
\n children = {}
\n for n in nodes:
\n indeg[n["Id"]] = 0
\n children[n["Id"]] = []<\/p>\n
for u, v in edges:
\n indeg[v] += 1
\n children[u].append(v)<\/p>\n
# \u5c31\u7eea\u961f\u5217
\n ready = deque([n for n in nodes if indeg[n["Id"]] == 0])
\n solution = SchedulingSolution(l1_capacity)<\/p>\n
while ready:
\n task = ready.popleft()
\n tid = task["Id"]
\n buf_id = task.get("BufId", tid)
\n size = task.get("Size", 0)
\n is_copyin = task["Op"].upper().startswith("COPY_IN")<\/p>\n
ok = solution.allocate_buffer(buf_id, size, is_copyin=is_copyin)
\n if not ok:
\n # \u987a\u5e8f\u8c03\u6574：\u63a8\u8fdf\u6267\u884c
\n solution._postpone_allocation(task, ready)
\n continue<\/p>\n
# \u6807\u8bb0\u5b8c\u6210
\n solution.finished.add(tid)
\n solution.release_buffer(buf_id)<\/p>\n
# \u66f4\u65b0\u540e\u7ee7\u4efb\u52a1
\n for v in children[tid]:
\n indeg[v] -= 1
\n if indeg[v] == 0:
\n # \u627e\u5230\u5bf9\u5e94\u8282\u70b9
\n next_node = next(n for n in nodes if n["Id"] == v)
\n ready.append(next_node)<\/p>\n
return solution.summary()<\/p>\n
def main():
\n json_dir = ".\/shuju"
\n cases = [f for f in os.listdir(json_dir) if f.endswith(".json")]<\/p>\n
for case_file in cases:
\n case_name = os.path.splitext(case_file)[0]
\n case_json = load_case(os.path.join(json_dir, case_file))<\/p>\n
result = schedule_case(case_name, case_json, l1_capacity=65536)
\n print(f"\\\\nCase {case_name}:")
\n print(" \u603b\u989d\u5916\u6570\u636e\u642c\u8fd0\u91cf:", result["extra_movement"])
\n print(" Spill \u8bb0\u5f55:", result["spill_log"])<\/p>\n
if __name__ == "__main__":
\n main()<\/p>\n","protected":false},"excerpt":{"rendered":"
\u4e00\u3001\u7a0b\u5e8f\u6982\u8ff0\u4e0e\u529f\u80fd\u5206\u67901.1 \u7a0b\u5e8f\u80cc\u666f\u4e0e\u5b9a\u4f4d\u8be5\u7a0b\u5e8f\u662f\u4e00\u4e2a\u7f13\u5b58\u8c03\u5ea6\u4f18\u5316\u7cfb\u7edf，\u4e13\u95e8\u7528\u4e8e\u89e3\u51b3\u8ba1\u7b97\u56fe\u4e2d\u4efb\u52a1\u6267\u884c\u7684\u7f13\u5b58\u5206\u914d\u95ee\u9898\u3002\u5728\u8ba1\u7b97\u5bc6\u96c6\u578b\u5e94\u7528\u4e2d，\u5f53\u4efb\u52a1\u4e4b\u95f4\u5b58\u5728\u4f9d\u8d56\u5173\u7cfb\u4e14\u9700\u8981\u5171\u4eab\u6709\u9650\u7684\u7f13\u5b58\u8d44\u6e90\u65f6，\u5982\u4f55\u9ad8\u6548\u7ba1\u7406\u7f13\u5b58\u5206\u914d\u6210\u4e3a\u5173\u952e\u6027\u80fd\u74f6\u9888\u3002\u672c\u7a0b\u5e8f\u901a\u8fc7\u667a\u80fd\u7684\u7f13\u5b58\u8c03\u5ea6\u7b97\u6cd5，\u5728\u4fdd\u8bc1\u4efb\u52a1\u6b63\u786e\u6267\u884c\u7684\u524d\u63d0\u4e0b，\u6700\u5c0f\u5316\u56e0\u7f13\u5b58\u4e0d\u8db3\u5bfc\u81f4\u7684\u989d\u5916\u6570\u636e\u642c\u8fd0\u6210\u672c\u30021.2 \u6838\u5fc3\u529f\u80fd\u6a21\u5757\u7a0b\u5e8f\u4e3b\u8981\u5305\u542b\u4e09\u5927\u529f\u80fd\u6a21\u5757：1. \u7f13\u5b58\u7ba1\u7406\u6a21\u5757\u52a8\u6001\u5206\u914d<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[6580,6581,6579,6582,81,190,1813],"topic":[],"class_list":["post-62073","post","type-post","status-publish","format-standard","hentry","category-server","tag-6580","tag-6581","tag-6579","tag-6582","tag-python","tag-190","tag-1813"],"yoast_head":"\n