diff options
Diffstat (limited to 'apps/pci/optimizers/solver/min_confusion_inl.mzn')
-rw-r--r-- | apps/pci/optimizers/solver/min_confusion_inl.mzn | 140 |
1 files changed, 140 insertions, 0 deletions
diff --git a/apps/pci/optimizers/solver/min_confusion_inl.mzn b/apps/pci/optimizers/solver/min_confusion_inl.mzn new file mode 100644 index 0000000..0f0fc91 --- /dev/null +++ b/apps/pci/optimizers/solver/min_confusion_inl.mzn @@ -0,0 +1,140 @@ +% ------------------------------------------------------------------------- +% Copyright (c) 2018 AT&T Intellectual Property +% +% Licensed under the Apache License, Version 2.0 (the "License"); +% you may not use this file except in compliance with the License. +% You may obtain a copy of the License at +% +% http://www.apache.org/licenses/LICENSE-2.0 +% +% Unless required by applicable law or agreed to in writing, software +% distributed under the License is distributed on an "AS IS" BASIS, +% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +% See the License for the specific language governing permissions and +% limitations under the License. +% +% ------------------------------------------------------------------------- +% + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Parameters and its assertions +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% Number of cells/radios. +int: NUM_NODES; + +% Maximum number of Physical Cell Identifiers to be assigned to the nodes. +int: NUM_PCIS; + +% Number of edges between neighbor nodes. There is a edge (i,j) if and only +% if nodes i and j are neighbors, i.e., an user equipment (UE) can make +% handoff between i and j. Such edges are used to avoid **COLLISION**, i.e., +% to guarantee that nodes i and j have different PCIs. +int: NUM_NEIGHBORS; + +% Each line represents an edge between direct neighbors as defined before. +array[1..NUM_NEIGHBORS, 1..2] of int: NEIGHBORS; + +% Number of undirect neighbor pairs (j, k) such that both j and k are direct +% neighbors of node i, i.e., (j, k) exits if and only if exists (i, j) and +% (i, k). Nodes (i, k) can generate "confunsions" in the network if they have +% the same PCI. Such edges are used to avoid/minimize **CONFUSIONS**. +int: NUM_SECOND_LEVEL_NEIGHBORS; + +% Each line represents an edge between undirect neighbors as defined before. +array[1..NUM_SECOND_LEVEL_NEIGHBORS, 1..2] of int: SECOND_LEVEL_NEIGHBORS; + +% Number of ignorable neighbor links. Such links can be ignored during +% optimization if needed. +int: NUM_IGNORABLE_NEIGHBOR_LINKS; + +% The links that can be ignored if needed. Each line represents the two ends +% of the links, like the previous structures. +array[1..NUM_IGNORABLE_NEIGHBOR_LINKS, 1..2] of int: IGNORABLE_NEIGHBOR_LINKS; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Decision variables +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% Defines the PCI for each node. +array[0..NUM_NODES-1] of var 0..NUM_PCIS-1: pci; + +array[1..NUM_IGNORABLE_NEIGHBOR_LINKS] of var 0..1: used_ignorables; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Constraints +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% Direct neighbors must have different PCIs for avoid **COLLISION**. +% Forced links. +constraint +forall(i in 1..NUM_NEIGHBORS, j in 1..NUM_IGNORABLE_NEIGHBOR_LINKS + where + NEIGHBORS[i, 1] != IGNORABLE_NEIGHBOR_LINKS[j, 1] \/ + NEIGHBORS[i, 2] != IGNORABLE_NEIGHBOR_LINKS[j, 2] +)( + pci[NEIGHBORS[i, 1]] != pci[NEIGHBORS[i, 2]] +); + + +% Ignorable links. +constraint +forall(i in 1..NUM_NEIGHBORS, j in 1..NUM_IGNORABLE_NEIGHBOR_LINKS + where + NEIGHBORS[i, 1] == IGNORABLE_NEIGHBOR_LINKS[j, 1] /\ + NEIGHBORS[i, 2] == IGNORABLE_NEIGHBOR_LINKS[j, 2] +)( + used_ignorables[j] >= bool2int(pci[NEIGHBORS[i, 1]] == pci[NEIGHBORS[i, 2]]) +); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Objective function +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% Total number of confusions. +var int: total_confusions = + sum([bool2int(pci[SECOND_LEVEL_NEIGHBORS[i, 1]] == + pci[SECOND_LEVEL_NEIGHBORS[i, 2]]) + | i in 1..NUM_SECOND_LEVEL_NEIGHBORS]); + +% Total number of used ignorables links. +var int: total_used_ignorables = sum(used_ignorables); + +solve :: int_search(pci, smallest, indomain_min, complete) + +% Minimize the total number of confusions. +%minimize total_confusions; + +% Minimize the total number of confusions first, +% then the number of used ignorables links. +minimize (2 * NUM_IGNORABLE_NEIGHBOR_LINKS * total_confusions) + + total_used_ignorables; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Output +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +output +["PCI assigment"] ++ +["\nnode,pci"] ++ +[ + "\n" ++ show(node) ++ "," ++ show(pci[node]) +| node in 0..NUM_NODES-1 +] ++ +["\n\nTotal used ignorables links: " ++ show(total_used_ignorables)] ++ +["\nUsed ignorables links: "] ++ +[ + "\n" ++ show(IGNORABLE_NEIGHBOR_LINKS[i, 1]) ++ + "," ++ show(IGNORABLE_NEIGHBOR_LINKS[i, 2]) + | i in 1..NUM_IGNORABLE_NEIGHBOR_LINKS where fix(used_ignorables[i] > 0) +] ++ +["\n\nConfusions"] ++ +["\nTotal confusions: " ++ show(total_confusions)] ++ +["\nConfusion pairs"] ++ +[ + "\n" ++ show(SECOND_LEVEL_NEIGHBORS[i, 1]) ++ "," ++ + show(SECOND_LEVEL_NEIGHBORS[i, 2]) + | i in 1..NUM_SECOND_LEVEL_NEIGHBORS where + fix(pci[SECOND_LEVEL_NEIGHBORS[i, 1]] == pci[SECOND_LEVEL_NEIGHBORS[i, 2]]) +] + |