Commit 1 for Integrate minizinc optimizer engine

Multiple commits required due to commit size limitation.

Change-Id: I4d0ae7fa585334508e85d021c77fe4ef63d3712b
Issue-ID: OPTFRA-436
Signed-off-by: Jerry Flood <jflood@att.com>

1 files changed, 199 insertions, 0 deletions

diff --git a/cmso-optimizer/scripts/minizinc/generic_attributes.mzn b/cmso-optimizer/scripts/minizinc/generic_attributes.mzn
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+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% element scheduling problem
+%% Modified on Mar 08, 2019
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Parameters
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Required (core) parameters
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% Number of elements.
+int: numElements;
+
+% Number of loaders/engineers.
+int: numLoaders;
+
+% Index of last possible time-slot for scheduling These time slots can be
+% minutes, hours, or nights. E.g., if scheduling happens at the granularity of
+% nights, 1st night is counted as 1, 2nd night counted as 2, and so on.  OTOH,
+% if we have 6 hours each night and we are scheduling at the granularity of
+% hours, 1st hour of 1st night is 1, 1st hour of 2nd night is 7, and so on.
+int: maxTime;
+
+% TRUE, if i-th element does NOT have a conflict on j-th timeslot/night.
+array[1..numElements, 1..maxTime] of bool: noConflict;
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Optional parameters (defined via policy)
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Each attribute is composed of 3 parameters that must be supplied. When an
+% attribute is selected, all parameters related to it must be given.
+
+%%%%%%%%%%%%%%%%%%%%
+% Timeslots / nights capacities
+%%%%%%%%%%%%%%%%%%%%
+
+% Maximum number of elements that can be scheduled on j-th timeslot/night.
+array[1..maxTime] of 0..numElements: elementSlotCapacity;
+
+%%%%%%%%%%%%%%%%%%%%
+% Loader capacities
+%%%%%%%%%%%%%%%%%%%%
+
+% Maximum number of elements that can be assigned to the j-th loader per
+% timeslot/night.
+array[1..numLoaders, 1..maxTime] of 0..numElements: loaderCapacity;
+
+%%%%%%%%%%%%%%%%%%%%
+% Attribute matrix
+%%%%%%%%%%%%%%%%%%%%
+
+% Number of attributes for wach node, e.g., hardware, software, oss, market,
+% pool, etc.
+int: numAttributes;
+
+% Assume that i-th attribute has a range 0..attribute_range[i].
+% Assume that 0 indicates NA. E.g, we may have pools and a node
+% that does not belong to any pools  will have 'pool attribute = 0
+% when we write constraints, we only consider attribute values >= 1.
+array[1..numAttributes] of int: attributesRange;
+
+% The attribute matrix that holds values of each attribute for a element.
+array[1..numElements, 1..numAttributes] of int: attributes;
+
+% Maximum number of nodes per time-slot that match on a given attribute.
+array[1..numAttributes, 1..maxTime] of int: attributeConcurrencyLimit;
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Variables
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% TRUE, if i-th element gets scheduled on j-th night.
+array[1..numElements, 1..maxTime] of var bool: ELEMENT2TIMESLOT;
+
+% TRUE, if i-th element gets scheduled to j-th loader.
+array[1..numElements, 1..numLoaders] of var bool: ELEMENT2LOADER;
+
+% Indicates the time slot (nigth) in which the elements were scheduled.
+array[1..numElements] of var 0..maxTime: SCHEDULED_SLOT =
+    [sum(j in 1..maxTime)(j * bool2int(ELEMENT2TIMESLOT[i,j])) | i in 1..numElements];
+
+% Indicates the loader for which the elements were scheduled.
+array[1..numElements] of var 0..numLoaders: SCHEDULED_LOADER =
+    [sum(l in 1..numLoaders)(l * bool2int(ELEMENT2LOADER[i,l])) | i in 1..numElements];
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Constraints
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Required (core) constraints
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% Schedule only on noConclict nights.
+constraint
+forall(i in 1..numElements, j in 1..maxTime)(
+    ELEMENT2TIMESLOT[i,j] -> noConflict[i,j]
+);
+
+% Schedule a element to a loader
+constraint
+forall(i in 1..numElements)(
+    sum(t in 1..maxTime)(bool2int(ELEMENT2TIMESLOT[i,t])) ==
+    sum(l in 1..numLoaders)(bool2int(ELEMENT2LOADER[i,l]))
+);
+
+% Schedule each element exactly one timeslot/night (or none).
+constraint
+forall(i in 1..numElements)(
+    sum(j in 1..maxTime)(bool2int(ELEMENT2TIMESLOT[i,j])) <= 1
+);
+
+% Schedule each element exactly one loader (or none).
+constraint
+forall(i in 1..numElements)(
+    sum(j in 1..numLoaders)(bool2int(ELEMENT2LOADER[i,j])) <= 1
+);
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Optional constraints (defined via policy)
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%These constraints are defined via policy and require sets of parameters also
+%defined via policy. They must be both available.
+
+%%%%%%%%%%%%%%%%%%%%
+% General capacity constraints
+%%%%%%%%%%%%%%%%%%%%
+
+% Satisfy element timeslot/nightly capacity.
+constraint
+forall(j in 1..maxTime)(
+    sum(i in 1..numElements)(bool2int(ELEMENT2TIMESLOT[i,j])) <= elementSlotCapacity[j]
+);
+
+% Satisfy loader/timeslot capacity.
+constraint
+forall(l in 1..numLoaders, t in 1..maxTime)(
+    sum(i in 1..numElements)(
+        bool2int(ELEMENT2LOADER[i,l] /\ ELEMENT2TIMESLOT[i,t])
+    ) <= loaderCapacity[l,t]
+);
+
+%%%%%%%%%%%%%%%%%%%%
+% Attribute capacity constraints
+%%%%%%%%%%%%%%%%%%%%
+
+% For attribute a and timeslot/night t, limits the number of elements having
+% the same value for attribute k, scheduled in the same timeslot/night t.
+constraint
+forall(t in 1..maxTime, a in 1..numAttributes)(
+    forall(m in 1..attributesRange[a])(
+        sum(i in 1..numElements)(
+            bool2int(attributes[i,a] == m /\ ELEMENT2TIMESLOT[i,t])
+        ) <= attributeConcurrencyLimit[a,t]
+    )
+);
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Objective function
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% Computes the number of scheduled elements.
+var int: NUM_SCHEDULED = sum(i in 1..numElements)(bool2int(SCHEDULED_SLOT[i] > 0));
+
+% Computes the (average) completion time of all elements. Note that average is
+% just a simple division by a constant, and it can be dropped from the model
+% for robusteness.
+var int: TOTAL_COMPLETION_TIME = sum(i in 1..numElements)(SCHEDULED_SLOT[i]);
+
+% First, maximize the number of scheduled elements (using a heavy weight)
+% and then minimize the (average) completion time for all elements.
+solve maximize maxTime * numElements * NUM_SCHEDULED - TOTAL_COMPLETION_TIME;
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Output
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+output
+["results:"] ++
+["\n  -"] ++
+["\n    num_scheduled: " ++ show(NUM_SCHEDULED)] ++
+["\n    total_completion_time: " ++ show(TOTAL_COMPLETION_TIME)] ++
+["\n    element_slot_loader: |"] ++
+[
+ "\n      " ++ show(element) ++ "," ++ show(SCHEDULED_SLOT[element]) ++ "," ++
+ show(SCHEDULED_LOADER[element])
+| element in 1..numElements
+]
+
+%output
+%["\n - num_scheduled: " ++ show(NUM_SCHEDULED)] ++
+%["\n total_completion_time: " ++ show(TOTAL_COMPLETION_TIME)] ++
+%["\n elementSlotLoader |"] ++
+%[ "\n " ++ show(element) ++ "," ++
+%show(SCHEDULED_SLOT[element]) ++ "," ++ show(SCHEDULED_LOADER[element]) | element in
+%1..numElements ]