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@@ -84,14 +84,14 @@ |
84 | 84 |
/// algorithm. By default, it is \ref CapacityScalingDefaultTraits |
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/// "CapacityScalingDefaultTraits<GR, V, C>". |
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/// In most cases, this parameter should not be set directly, |
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/// consider to use the named template parameters instead. |
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/// |
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/// \warning Both \c V and \c C must be signed number types. |
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/// \warning All input data (capacities, supply values, and costs) must |
|
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/// be integer. |
|
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/// \warning Capacity bounds and supply values must be integer, but |
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/// arc costs can be arbitrary real numbers. |
|
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/// \warning This algorithm does not support negative costs for |
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/// arcs having infinite upper bound. |
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#ifdef DOXYGEN |
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template <typename GR, typename V, typename C, typename TR> |
96 | 96 |
#else |
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template < typename GR, typename V = int, typename C = V, |
... | ... |
@@ -119,20 +119,23 @@ |
119 | 119 |
|
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/// \brief Constants for selecting the pivot rule. |
121 | 121 |
/// |
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/// Enum type containing constants for selecting the pivot rule for |
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/// the \ref run() function. |
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/// |
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/// \ref NetworkSimplex provides five different pivot rule |
|
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/// implementations that significantly affect the running time |
|
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/// \ref NetworkSimplex provides five different implementations for |
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/// the pivot strategy that significantly affects the running time |
|
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/// of the algorithm. |
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/// By default, \ref BLOCK_SEARCH "Block Search" is used, which |
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/// turend out to be the most efficient and the most robust on various |
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/// test inputs. |
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/// However, another pivot rule can be selected using the \ref run() |
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/// |
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/// According to experimental tests conducted on various problem |
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/// instances, \ref BLOCK_SEARCH "Block Search" and |
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/// \ref ALTERING_LIST "Altering Candidate List" rules turned out |
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/// to be the most efficient. |
|
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/// Since \ref BLOCK_SEARCH "Block Search" is a simpler strategy that |
|
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/// seemed to be slightly more robust, it is used by default. |
|
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/// However, another pivot rule can easily be selected using the |
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/// \ref run() function with the proper parameter. |
|
133 | 136 |
enum PivotRule { |
134 | 137 |
|
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/// The \e First \e Eligible pivot rule. |
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/// The next eligible arc is selected in a wraparound fashion |
137 | 140 |
/// in every iteration. |
138 | 141 |
FIRST_ELIGIBLE, |
... | ... |
@@ -152,13 +155,13 @@ |
152 | 155 |
/// in a wraparound fashion and in the following minor iterations |
153 | 156 |
/// the best eligible arc is selected from this list. |
154 | 157 |
CANDIDATE_LIST, |
155 | 158 |
|
156 | 159 |
/// The \e Altering \e Candidate \e List pivot rule. |
157 | 160 |
/// It is a modified version of the Candidate List method. |
158 |
/// It keeps only |
|
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/// It keeps only a few of the best eligible arcs from the former |
|
159 | 162 |
/// candidate list and extends this list in every iteration. |
160 | 163 |
ALTERING_LIST |
161 | 164 |
}; |
162 | 165 |
|
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private: |
164 | 167 |
|
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@@ -535,13 +538,13 @@ |
535 | 538 |
{ |
536 | 539 |
private: |
537 | 540 |
const CostVector &_map; |
538 | 541 |
public: |
539 | 542 |
SortFunc(const CostVector &map) : _map(map) {} |
540 | 543 |
bool operator()(int left, int right) { |
541 |
return _map[left] |
|
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return _map[left] < _map[right]; |
|
542 | 545 |
} |
543 | 546 |
}; |
544 | 547 |
|
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SortFunc _sort_func; |
546 | 549 |
|
547 | 550 |
public: |
... | ... |
@@ -553,13 +556,13 @@ |
553 | 556 |
_in_arc(ns.in_arc), _search_arc_num(ns._search_arc_num), |
554 | 557 |
_next_arc(0), _cand_cost(ns._search_arc_num), _sort_func(_cand_cost) |
555 | 558 |
{ |
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// The main parameters of the pivot rule |
557 | 560 |
const double BLOCK_SIZE_FACTOR = 1.0; |
558 | 561 |
const int MIN_BLOCK_SIZE = 10; |
559 |
const double HEAD_LENGTH_FACTOR = 0. |
|
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const double HEAD_LENGTH_FACTOR = 0.01; |
|
560 | 563 |
const int MIN_HEAD_LENGTH = 3; |
561 | 564 |
|
562 | 565 |
_block_size = std::max( int(BLOCK_SIZE_FACTOR * |
563 | 566 |
std::sqrt(double(_search_arc_num))), |
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MIN_BLOCK_SIZE ); |
565 | 568 |
_head_length = std::max( int(HEAD_LENGTH_FACTOR * _block_size), |
... | ... |
@@ -597,37 +600,37 @@ |
597 | 600 |
if (_curr_length > limit) goto search_end; |
598 | 601 |
limit = 0; |
599 | 602 |
cnt = _block_size; |
600 | 603 |
} |
601 | 604 |
} |
602 | 605 |
for (e = 0; e != _next_arc; ++e) { |
603 |
_cand_cost[e] = _state[e] * |
|
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(_cost[e] + _pi[_source[e]] - _pi[_target[e]]); |
|
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|
|
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c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]); |
|
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if (c < 0) { |
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_cand_cost[e] = c; |
|
606 | 609 |
_candidates[_curr_length++] = e; |
607 | 610 |
} |
608 | 611 |
if (--cnt == 0) { |
609 | 612 |
if (_curr_length > limit) goto search_end; |
610 | 613 |
limit = 0; |
611 | 614 |
cnt = _block_size; |
612 | 615 |
} |
613 | 616 |
} |
614 | 617 |
if (_curr_length == 0) return false; |
615 | 618 |
|
616 | 619 |
search_end: |
617 | 620 |
|
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// Make heap of the candidate list (approximating a partial sort) |
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make_heap( _candidates.begin(), _candidates.begin() + _curr_length, |
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|
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// Perform partial sort operation on the candidate list |
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int new_length = std::min(_head_length + 1, _curr_length); |
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std::partial_sort(_candidates.begin(), _candidates.begin() + new_length, |
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_candidates.begin() + _curr_length, _sort_func); |
|
621 | 625 |
|
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// |
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// Select the entering arc and remove it from the list |
|
623 | 627 |
_in_arc = _candidates[0]; |
624 | 628 |
_next_arc = e; |
625 |
pop_heap( _candidates.begin(), _candidates.begin() + _curr_length, |
|
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_sort_func ); |
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|
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_candidates[0] = _candidates[new_length - 1]; |
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_curr_length = new_length - 1; |
|
628 | 631 |
return true; |
629 | 632 |
} |
630 | 633 |
|
631 | 634 |
}; //class AlteringListPivotRule |
632 | 635 |
|
633 | 636 |
public: |
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