/** * routing using A* algorithm http://en.wikipedia.org/wiki/A*_search_algorithm * * @param startNode * @param endNode * @param startTime * @param dayIndex * @param pathNodeList return path * @return */ public static double routingAStar( long startNode, long endNode, int startTime, int dayIndex, ArrayList<Long> pathNodeList) { // System.out.println("start finding the path..."); int debug = 0; double totalCost = -1; try { // test store transversal nodes // HashSet<Long> transversalSet = new HashSet<Long>(); if (!OSMData.nodeHashMap.containsKey(startNode) || !OSMData.nodeHashMap.containsKey(endNode)) { System.err.println("cannot find start or end node!"); return -1; } if (startNode == endNode) { System.out.println("start node is the same as end node."); return 0; } HashSet<Long> closedSet = new HashSet<Long>(); HashMap<Long, NodeInfoHelper> nodeHelperCache = new HashMap<Long, NodeInfoHelper>(); PriorityQueue<NodeInfoHelper> openSet = initialStartSet(startNode, endNode, startTime, dayIndex, nodeHelperCache); HashSet<Long> endSet = initialEndSet(endNode); NodeInfoHelper current = null; while (!openSet.isEmpty()) { // remove current from openset current = openSet.poll(); // if(!transversalSet.contains(current.getNodeId())) // transversalSet.add(current.getNodeId()); long nodeId = current.getNodeId(); // add current to closedset closedSet.add(nodeId); if (endSet.contains(nodeId)) { // find the destination current = current.getEndNodeHelper(endNode); totalCost = current.getCost(); break; } // for time dependent routing int timeIndex = startTime + (int) (current.getCost() / OSMParam.SECOND_PER_MINUTE / OSMRouteParam.TIME_INTERVAL); if (timeIndex > OSMRouteParam.TIME_RANGE - 1) // time [6am - 9 pm], we regard times after 9pm as constant edge weights timeIndex = OSMRouteParam.TIME_RANGE - 1; LinkedList<ToNodeInfo> adjNodeList = OSMData.adjListHashMap.get(nodeId); if (adjNodeList == null) continue; // this node cannot go anywhere double arriveTime = current.getCost(); // for each neighbor in neighbor_nodes(current) for (ToNodeInfo toNode : adjNodeList) { debug++; long toNodeId = toNode.getNodeId(); int travelTime; if (toNode.isFix()) // fix time travelTime = toNode.getTravelTime(); else // fetch from time array travelTime = toNode.getSpecificTravelTime(dayIndex, timeIndex); // tentative_g_score := g_score[current] + dist_between(current,neighbor) double costTime = arriveTime + (double) travelTime / OSMParam.MILLI_PER_SECOND; // tentative_f_score := tentative_g_score + heuristic_cost_estimate(neighbor, goal) double heuristicTime = estimateHeuristic(toNodeId, endNode); double totalCostTime = costTime + heuristicTime; // if neighbor in closedset and tentative_f_score >= f_score[neighbor] if (closedSet.contains(toNodeId) && nodeHelperCache.get(toNodeId).getTotalCost() <= totalCostTime) { continue; } NodeInfoHelper node = null; // if neighbor not in openset or tentative_f_score < f_score[neighbor] if (!nodeHelperCache.containsKey(toNodeId)) { // neighbor not in openset node = new NodeInfoHelper(toNodeId); nodeHelperCache.put(node.getNodeId(), node); } else if (nodeHelperCache.get(toNodeId).getTotalCost() > totalCostTime) { // neighbor in openset node = nodeHelperCache.get(toNodeId); if (closedSet.contains(toNodeId)) { // neighbor in closeset closedSet.remove(toNodeId); // remove neighbor form colseset } else { openSet.remove(node); } } // neighbor need update if (node != null) { node.setCost(costTime); node.setHeuristic(heuristicTime); node.setParentId(nodeId); openSet.offer(node); // add neighbor to openset again } } } if (totalCost != -1) { long traceNodeId = current.getNodeId(); pathNodeList.add(traceNodeId); // add end node traceNodeId = current.getParentId(); while (traceNodeId != 0) { pathNodeList.add(traceNodeId); // add node current = nodeHelperCache.get(traceNodeId); traceNodeId = current.getParentId(); } Collections.reverse(pathNodeList); // reverse the path list // System.out.println("find the path successful!"); } else { System.out.println("can not find the path!"); } // OSMOutput.generateTransversalNodeKML(transversalSet, nodeHashMap); } catch (Exception e) { e.printStackTrace(); System.err.println( "tdsp: debug code " + debug + ", start node " + startNode + ", end node " + endNode); } return totalCost; }
@Override public void run() { // TODO Auto-generated method stub PriorityQueue<NodeInfoHelper> openSet = new PriorityQueue<NodeInfoHelper>( 10000, new Comparator<NodeInfoHelper>() { public int compare(NodeInfoHelper n1, NodeInfoHelper n2) { return (int) (n1.getTotalCost() - n2.getTotalCost()); } }); HashSet<Long> closedSet = new HashSet<Long>(); initialEndSet(startNode, endNode, openSet, nodeHelperCache); NodeInfoHelper current = null; // HashSet<Long> transversalSet = new HashSet<Long>(); while (!openSet.isEmpty()) { // remove current from openset current = openSet.poll(); long nodeId = current.getNodeId(); // transversalSet.add(nodeId); // add current to closedset closedSet.add(nodeId); // check if forward searching finish if (sharingData.isSearchingFinish()) break; // add to reverse cover nodes, only add the nodes on the highway if (current.getCurrentLevel() == 1) sharingData.addReverseNode(nodeId); NodeInfo fromNodeInfo = OSMData.nodeHashMap.get(nodeId); LinkedList<ToNodeInfo> adjNodeList = adjListHashMap.get(nodeId); if (adjNodeList == null) continue; // this node cannot go anywhere double arriveTime = current.getCost(); // for each neighbor in neighbor_nodes(current) for (ToNodeInfo toNode : adjNodeList) { long toNodeId = toNode.getNodeId(); NodeInfo toNodeInfo = OSMData.nodeHashMap.get(toNodeId); EdgeInfo edgeInfo = fromNodeInfo.getEdgeFromNodes(toNodeInfo); // check if "highway" not found in param, add it // String highway = edgeInfo.getHighway(); int level = 10; if (OSMData.hierarchyHashMap.containsKey(edgeInfo.getHighway())) level = OSMData.hierarchyHashMap.get(edgeInfo.getHighway()); // 1) always level up, e.g. currently in primary, never go secondary // if(level > current.getCurrentLevel()) { // do not level down // continue; // } // 2) keep on highway if (current.getCurrentLevel() == 1 && level > 1) { continue; } int travelTime = toNode.getMinTravelTime(); // tentative_g_score := g_score[current] + dist_between(current,neighbor) double costTime = arriveTime + (double) travelTime / OSMParam.MILLI_PER_SECOND; // tentative_f_score := tentative_g_score + heuristic_cost_estimate(neighbor, goal) double heuristicTime = OSMRouting.estimateHeuristic(toNodeId, endNode); double totalCostTime = costTime + heuristicTime; // if neighbor in closedset and tentative_f_score >= f_score[neighbor] if (closedSet.contains(toNodeId) && nodeHelperCache.get(toNodeId).getTotalCost() <= totalCostTime) { continue; } NodeInfoHelper node = null; // if neighbor not in openset or tentative_f_score < f_score[neighbor] if (!nodeHelperCache.containsKey(toNodeId)) { // neighbor not in openset node = new NodeInfoHelper(toNodeId); nodeHelperCache.put(node.getNodeId(), node); } else if (nodeHelperCache.get(toNodeId).getTotalCost() > totalCostTime) { // neighbor in openset node = nodeHelperCache.get(toNodeId); if (closedSet.contains(toNodeId)) { // neighbor in closeset closedSet.remove(toNodeId); // remove neighbor form colseset } else { openSet.remove(node); } } // neighbor need update if (node != null) { node.setCost(costTime); node.setHeuristic(heuristicTime); node.setCurrentLevel(level); node.setParentId(nodeId); openSet.offer(node); // add neighbor to openset again } } } // OSMOutput.generateTransversalNodeKML(transversalSet, nodeHashMap, "reverse_transversal"); }
// TODO : if start or end is already in the highway, will occur the problem, need to fix public static double routingHierarchy( long startNode, long endNode, int startTime, int dayIndex, ArrayList<Long> pathNodeList) { // System.out.println("start finding the path..."); int debug = 0; try { if (!OSMData.nodeHashMap.containsKey(startNode) || !OSMData.nodeHashMap.containsKey(endNode)) { System.err.println("cannot find start or end node!"); return -1; } if (startNode == endNode) { System.out.println("start node is the same as end node."); return 0; } NodeInfo start = OSMData.nodeHashMap.get(startNode); NodeInfo end = OSMData.nodeHashMap.get(endNode); double minDistance = Geometry.calculateDistance(start.getLocation(), end.getLocation()); if (minDistance < 5) { // use normal A* algorithm to calculate small distance return routingAStar( start.getNodeId(), end.getNodeId(), OSMRouteParam.START_TIME, OSMRouteParam.DAY_INDEX, pathNodeList); } SearchingSharing sharingData = new SearchingSharing(); HashMap<Long, NodeInfoHelper> nodeForwardCache = new HashMap<Long, NodeInfoHelper>(); HashMap<Long, NodeInfoHelper> nodeReverseCache = new HashMap<Long, NodeInfoHelper>(); ForwardSearching forwardSearching = new ForwardSearching( startNode, endNode, startTime, dayIndex, sharingData, nodeForwardCache); ReverseSearching reverseSearching = new ReverseSearching(endNode, startNode, sharingData, nodeReverseCache); // two thread run simultaneously Thread forwardThread = new Thread(forwardSearching); Thread reverseThread = new Thread(reverseSearching); // search forward forwardThread.start(); // let forward searching for a while // Thread.sleep(100); // search reverse reverseThread.start(); // waiting for thread finish forwardThread.join(); reverseThread.join(); // get the searching intersects ArrayList<Long> intersectList = sharingData.getIntersectList(); // pick the least cost one according to time-dependent double minCost = Double.MAX_VALUE; ArrayList<Long> minCostPath = new ArrayList<Long>(); for (long intersect : intersectList) { NodeInfoHelper current = nodeForwardCache.get(intersect); // cost from source to intersect double cost = current.getCost(); current = nodeReverseCache.get(intersect); // update the reverse cost as forward cost current.setCost(cost); ArrayList<Long> reversePath = new ArrayList<Long>(); double totalCost = Double.MAX_VALUE; // recalculate from intersect to destination while (true) { long nodeId = current.getNodeId(); int timeIndex = startTime + (int) (current.getCost() / OSMParam.SECOND_PER_MINUTE / OSMRouteParam.TIME_INTERVAL); if (timeIndex > OSMRouteParam.TIME_RANGE - 1) // time [6am - 9 pm], we regard times after 9pm as constant edge weights timeIndex = OSMRouteParam.TIME_RANGE - 1; long nextNodeId = current.getParentId(); double arriveTime = current.getCost(); // arrive end if (nextNodeId == 0) { totalCost = arriveTime; break; } // add node reversePath.add(nextNodeId); // calculate cost according adjlist LinkedList<ToNodeInfo> adjNodeList = OSMData.adjListHashMap.get(nodeId); double costTime = 0; for (ToNodeInfo toNode : adjNodeList) { if (toNode.getNodeId() == nextNodeId) { int travelTime; // forward searching is time dependent if (toNode.isFix()) // fix time travelTime = toNode.getTravelTime(); else // fetch from time array travelTime = toNode.getSpecificTravelTime(dayIndex, timeIndex); costTime = arriveTime + (double) travelTime / OSMParam.MILLI_PER_SECOND; break; } } current = nodeReverseCache.get(nextNodeId); if (costTime == 0) System.err.println("cost time cannot be zero!"); else current.setCost(costTime); } // process the left nodes to real destination long lastNode = reversePath.get(reversePath.size() - 1); if (lastNode != endNode) { NodeInfo last = OSMData.nodeHashMap.get(lastNode); NodeInfo dest = OSMData.nodeHashMap.get(endNode); EdgeInfo onEdge = last.getEdgeFromNodes(dest); current = nodeReverseCache.get(lastNode); int totalDistance = onEdge.getDistance(); int distance; long toNodeId; if (onEdge.getStartNode() == lastNode) { // from start to middle distance = onEdge.getStartDistance(endNode); toNodeId = onEdge.getEndNode(); } else { // from end to middle distance = onEdge.getEndDistance(endNode); toNodeId = onEdge.getStartNode(); } LinkedList<ToNodeInfo> adjNodeList = OSMData.adjListHashMap.get(lastNode); double costTime = 0; int timeIndex = startTime + (int) (totalCost / OSMParam.SECOND_PER_MINUTE / OSMRouteParam.TIME_INTERVAL); if (timeIndex > OSMRouteParam.TIME_RANGE - 1) // time [6am - 9 pm], we regard times after 9pm as constant edge weights timeIndex = OSMRouteParam.TIME_RANGE - 1; for (ToNodeInfo toNode : adjNodeList) { if (toNode.getNodeId() == toNodeId) { int travelTime; // forward searching is time dependent if (toNode.isFix()) // fix time travelTime = toNode.getTravelTime(); else // fetch from time array travelTime = toNode.getSpecificTravelTime(dayIndex, timeIndex); costTime = (double) travelTime / OSMParam.MILLI_PER_SECOND; break; } } if (costTime != 0) { costTime *= (double) distance / totalDistance; } totalCost += costTime; // add cost reversePath.add(endNode); // add dest } // if found less cost path, build forward path if (totalCost < minCost) { ArrayList<Long> forwardPath = new ArrayList<Long>(); minCost = totalCost; current = nodeForwardCache.get(intersect); long traceNodeId = current.getParentId(); while (traceNodeId != 0) { forwardPath.add(traceNodeId); // add node current = nodeForwardCache.get(traceNodeId); traceNodeId = current.getParentId(); } Collections.reverse(forwardPath); // reverse the path list // record min-cost path, combine forward path and reverse path minCostPath = new ArrayList<Long>(); minCostPath.addAll(forwardPath); minCostPath.add(intersect); minCostPath.addAll(reversePath); // output kml // OSMOutput.generatePathKML(nodeHashMap, pathNodeList, "path_" + intersect); // ArrayList<Long> intersectNode = new ArrayList<Long>(); // intersectNode.add(intersect); // OSMOutput.generatePathNodeKML(nodeHashMap, intersectNode, "intersect_" + intersect); } } pathNodeList.addAll(minCostPath); return minCost; } catch (Exception e) { e.printStackTrace(); System.err.println("routingHierarchy: debug code " + debug); } return 0; }
@Override public void run() { HashSet<Long> closedSet = new HashSet<Long>(); PriorityQueue<NodeInfoHelper> openSet = OSMRouting.initialStartSet(startNode, endNode, startTime, dayIndex, nodeHelperCache); NodeInfoHelper current = null; // test // HashSet<Long> transversalSet = new HashSet<Long>(); while (!openSet.isEmpty()) { // remove current from openset current = openSet.poll(); long nodeId = current.getNodeId(); // transversalSet.add(nodeId); // add current to closedset closedSet.add(nodeId); // check reverse searching covering nodes if (sharingData.isNodeInReverseSet(nodeId)) { // we found a path, stop here sharingData.addIntersect(nodeId); if (sharingData.isSearchingFinish()) break; else continue; } NodeInfo fromNodeInfo = OSMData.nodeHashMap.get(nodeId); // for time dependent routing in forwarding search int timeIndex = startTime + (int) (current.getCost() / OSMParam.SECOND_PER_MINUTE / OSMRouteParam.TIME_INTERVAL); if (timeIndex > OSMRouteParam.TIME_RANGE - 1) // time [6am - 9 pm], we regard times after 9pm as constant edge weights timeIndex = OSMRouteParam.TIME_RANGE - 1; LinkedList<ToNodeInfo> adjNodeList = adjListHashMap.get(nodeId); if (adjNodeList == null) continue; // this node cannot go anywhere double arriveTime = current.getCost(); // for each neighbor in neighbor_nodes(current) for (ToNodeInfo toNode : adjNodeList) { long toNodeId = toNode.getNodeId(); NodeInfo toNodeInfo = OSMData.nodeHashMap.get(toNodeId); EdgeInfo edgeInfo = fromNodeInfo.getEdgeFromNodes(toNodeInfo); // check if "highway" not found in param, add it // String highway = edgeInfo.getHighway(); int level = 10; if (OSMData.hierarchyHashMap.containsKey(edgeInfo.getHighway())) level = OSMData.hierarchyHashMap.get(edgeInfo.getHighway()); // 1) always level up, e.g. currently in primary, never go secondary // if(level > current.getCurrentLevel()) { // do not level down // continue; // } // 2) keep on highway if (current.getCurrentLevel() == 1 && level > 1) { continue; } int travelTime; // forward searching is time dependent if (toNode.isFix()) // fix time travelTime = toNode.getTravelTime(); else // fetch from time array travelTime = toNode.getSpecificTravelTime(dayIndex, timeIndex); // tentative_g_score := g_score[current] + dist_between(current,neighbor) double costTime = arriveTime + (double) travelTime / OSMParam.MILLI_PER_SECOND; // tentative_f_score := tentative_g_score + heuristic_cost_estimate(neighbor, goal) double heuristicTime = OSMRouting.estimateHeuristic(toNodeId, endNode); double totalCostTime = costTime + heuristicTime; // if neighbor in closedset and tentative_f_score >= f_score[neighbor] if (closedSet.contains(toNodeId) && nodeHelperCache.get(toNodeId).getTotalCost() <= totalCostTime) { continue; } NodeInfoHelper node = null; // if neighbor not in openset or tentative_f_score < f_score[neighbor] if (!nodeHelperCache.containsKey(toNodeId)) { // neighbor not in openset node = new NodeInfoHelper(toNodeId); nodeHelperCache.put(node.getNodeId(), node); } else if (nodeHelperCache.get(toNodeId).getTotalCost() > totalCostTime) { // neighbor in openset node = nodeHelperCache.get(toNodeId); if (closedSet.contains(toNodeId)) { // neighbor in closeset closedSet.remove(toNodeId); // remove neighbor form colseset } else { openSet.remove(node); } } // neighbor need update if (node != null) { node.setCost(costTime); node.setHeuristic(heuristicTime); node.setCurrentLevel(level); node.setParentId(nodeId); openSet.offer(node); // add neighbor to openset again } } } // test // OSMOutput.generateTransversalNodeKML(transversalSet, "forward_transversal"); }