diff --git a/src/utility/shortestPaths.cpp b/src/utility/shortestPaths.cpp
index 15039a4c3..ffd3730f1 100644
--- a/src/utility/shortestPaths.cpp
+++ b/src/utility/shortestPaths.cpp
@@ -7,15 +7,12 @@ namespace storm {
     namespace utility {
         namespace ksp {
             template <typename T>
-            ShortestPathsGenerator<T>::ShortestPathsGenerator(std::shared_ptr<models::sparse::Model<T>> model,
-                    state_list_t const& targets) : transitionMatrix(model->getTransitionMatrix()),
-                                                   numStates(model->getNumberOfStates() + 1), // one more for meta-target
-                                                   metaTarget(model->getNumberOfStates()), // first unused state number
-                                                   initialStates(model->getInitialStates()),
-                                                   targets(targets) {
-                for (state_t target : targets) {
-                    targetProbMap.emplace(target, one<T>());
-                }
+            ShortestPathsGenerator<T>::ShortestPathsGenerator(storage::SparseMatrix<T> transitionMatrix, std::unordered_map<state_t, T> targetProbMap, BitVector initialStates) :
+                    transitionMatrix(transitionMatrix),
+                    numStates(transitionMatrix.getColumnCount() + 1), // one more for meta-target
+                    metaTarget(transitionMatrix.getColumnCount()), // first unused state index
+                    initialStates(initialStates),
+                    targetProbMap(targetProbMap) {
 
                 computePredecessors();
 
@@ -30,6 +27,8 @@ namespace storm {
                 candidatePaths.resize(numStates);
             }
 
+            // TODO: probTargetVector [!] to probTargetMap ctor
+
             // extracts the relevant info from the model and delegates to ctor above
             template <typename T>
             ShortestPathsGenerator<T>::ShortestPathsGenerator(std::shared_ptr<models::sparse::Model<T>> model, BitVector const& targetBV)
@@ -108,14 +107,16 @@ namespace storm {
                     for (auto const& transition : transitionMatrix.getRowGroup(i)) {
                         // to avoid non-minimal paths, the target states are
                         // *not* predecessors of any state but the meta-target
-                        if (std::find(targets.begin(), targets.end(), i) == targets.end()) {
+                        if (!isTargetState(i)) {
                             graphPredecessors[transition.getColumn()].push_back(i);
                         }
                     }
                 }
 
                 // meta-target has exactly the target states as predecessors
-                graphPredecessors[metaTarget] = targets;
+                for (auto targetProbPair : targetProbMap) { // FIXME
+                    graphPredecessors[metaTarget].push_back(targetProbPair.first);
+                }
             }
 
             template <typename T>
@@ -141,7 +142,7 @@ namespace storm {
                     state_t currentNode = (*dijkstraQueue.begin()).second;
                     dijkstraQueue.erase(dijkstraQueue.begin());
 
-                    if (targetProbMap.count(currentNode) == 0) {
+                    if (!isTargetState(currentNode)) {
                         // non-target node, treated normally
                         for (auto const& transition : transitionMatrix.getRowGroup(currentNode)) {
                             state_t otherNode = transition.getColumn();
@@ -157,7 +158,7 @@ namespace storm {
                     } else {
                         // target node has only "virtual edge" (with prob 1) to meta-target
                         // no multiplication necessary
-                        T alternateDistance = shortestPathDistances[currentNode];
+                        T alternateDistance = shortestPathDistances[currentNode]; // FIXME
                         if (alternateDistance > shortestPathDistances[metaTarget]) {
                             shortestPathDistances[metaTarget] = alternateDistance;
                             shortestPathPredecessors[metaTarget] = boost::optional<state_t>(currentNode);
@@ -231,7 +232,7 @@ namespace storm {
                 } else {
                     // edge must be "virtual edge" from target state to meta-target
                     assert(targetProbMap.count(tailNode) == 1);
-                    return utility::one<T>();
+                    return one<T>();
                 }
             }
 
diff --git a/src/utility/shortestPaths.h b/src/utility/shortestPaths.h
index 402fb31f6..400485997 100644
--- a/src/utility/shortestPaths.h
+++ b/src/utility/shortestPaths.h
@@ -69,6 +69,7 @@ namespace storm {
                 // vector from SamplingModel);
                 // in this case separately specifying a target makes no sense
                 //ShortestPathsGenerator(storm::storage::SparseMatrix<T> maybeTransitionMatrix, std::vector<T> targetProbVector);
+                ShortestPathsGenerator(storm::storage::SparseMatrix<T> maybeTransitionMatrix, std::unordered_map<state_t, T> targetProbMap, BitVector initialStates);
 
                 inline ~ShortestPathsGenerator(){}
 
@@ -99,7 +100,6 @@ namespace storm {
                 storage::SparseMatrix<T> transitionMatrix;
                 state_t numStates; // includes meta-target, i.e. states in model + 1
                 state_t metaTarget;
-                state_list_t targets;
                 BitVector initialStates;
                 std::unordered_map<state_t, T> targetProbMap;
 
@@ -167,12 +167,19 @@ namespace storm {
                     return find(initialStates.begin(), initialStates.end(), node) != initialStates.end();
                 }
 
-                inline state_list_t bitvectorToList(storage::BitVector const& bv) const {
-                    state_list_t list;
-                    for (state_t state : bv) {
-                        list.push_back(state);
+                inline bool isTargetState(state_t node) const {
+                    return targetProbMap.count(node) == 1;
+                }
+
+                /**
+                 * Returns a map where each state of the input BitVector is mapped to 1 (`one<T>`).
+                 */
+                inline std::unordered_map<state_t, T> allProbOneMap(BitVector bitVector) const& {
+                    std::unordered_map<state_t, T> stateProbMap;
+                    for (state_t node : bitVector) {
+                        stateProbMap.emplace(node, one<T>());
                     }
-                    return list;
+                    return stateProbMap;
                 }
                 // -----------------------
             };