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Diffstat (limited to 'osdf/optimizers/pciopt/solver/min_confusion.mzn')
-rw-r--r-- | osdf/optimizers/pciopt/solver/min_confusion.mzn | 95 |
1 files changed, 95 insertions, 0 deletions
diff --git a/osdf/optimizers/pciopt/solver/min_confusion.mzn b/osdf/optimizers/pciopt/solver/min_confusion.mzn new file mode 100644 index 0000000..803f914 --- /dev/null +++ b/osdf/optimizers/pciopt/solver/min_confusion.mzn @@ -0,0 +1,95 @@ +% ------------------------------------------------------------------------- +% 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 **CONFLICTS**, i.e., +% to guarantee that nodes i and j have different PCIs. +int: NUM_CONFLICT_EDGES; + +% Each line represents an edge between direct neighbors as defined before. +array[1..NUM_CONFLICT_EDGES, 1..2] of int: CONFLICT_EDGES; + +% 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_CONFUSION_EDGES; + +% Each line represents an edge between undirect neighbors as defined before. +array[1..NUM_CONFUSION_EDGES, 1..2] of int: CONFUSION_EDGES; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Decision variables +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% Defines the PCI for each node. +array[0..NUM_NODES-1] of var 0..NUM_PCIS-1: pci; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Constraints +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% Direct neighbors must have different PCIs for avoid **CONFLICTS**. +constraint +forall(i in 1..NUM_CONFLICT_EDGES)( + pci[CONFLICT_EDGES[i, 1]] != pci[CONFLICT_EDGES[i, 2]] +); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Objective function +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% Total number of confusions. +var int: total_confusions = + sum([bool2int(pci[CONFUSION_EDGES[i, 1]] == pci[CONFUSION_EDGES[i, 2]]) + | i in 1..NUM_CONFUSION_EDGES]); + +% Minimize the total number of confusions. +solve :: int_search(pci, smallest, indomain_min, complete) +minimize total_confusions; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Output +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +output +["PCI assigment"] ++ +["\nnode,pci"] ++ +[ + "\n" ++ show(node) ++ "," ++ show(pci[node]) +| node in 0..NUM_NODES-1 +] ++ + +["\n\nConfusions"] ++ +["\nTotal confusions: " ++ show(total_confusions)] ++ +["\nConfusion pairs"] ++ +[ + "\n" ++ show(CONFUSION_EDGES[i, 1]) ++ "," ++ show(CONFUSION_EDGES[i, 2]) +| i in 1..NUM_CONFUSION_EDGES where + fix(pci[CONFUSION_EDGES[i, 1]] == pci[CONFUSION_EDGES[i, 2]]) +] |