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-rw-r--r--examples/placement-models-minizinc/5g-placement-scheduling/README10
-rwxr-xr-xexamples/placement-models-minizinc/5g-placement-scheduling/gold-1.dzn116
-rwxr-xr-xexamples/placement-models-minizinc/5g-placement-scheduling/gold-2.dzn116
-rwxr-xr-xexamples/placement-models-minizinc/5g-placement-scheduling/gold-3.dzn116
-rwxr-xr-xexamples/placement-models-minizinc/5g-placement-scheduling/gold-4.dzn116
-rwxr-xr-xexamples/placement-models-minizinc/5g-placement-scheduling/gold.dzn116
-rw-r--r--examples/placement-models-minizinc/5g-placement-scheduling/network-slicing.ipynb77
-rwxr-xr-xexamples/placement-models-minizinc/5g-placement-scheduling/placement.mzn104
8 files changed, 771 insertions, 0 deletions
diff --git a/examples/placement-models-minizinc/5g-placement-scheduling/README b/examples/placement-models-minizinc/5g-placement-scheduling/README
new file mode 100644
index 0000000..210e3e8
--- /dev/null
+++ b/examples/placement-models-minizinc/5g-placement-scheduling/README
@@ -0,0 +1,10 @@
+Build docker image:
+------------------
+sudo docker build --network=host -t placement-example .
+
+Run Jupyter lab demo:
+---------------------
+sudo docker run --name placement-example --network=host -it placement-example /bin/bash -c 'cd /osdf/examples/placement-models-minizinc/vdns-plus-vfw-use-case; jupyter lab --port=<public port> --ip=<public ip> --allow-root placement-minizinc.ipynb'
+
+Usage Example:
+ sudo docker run --name placement-example --network=host -it placement-example /bin/bash -c 'cd /osdf/examples/placement-models-minizinc/vdns-plus-vfw-use-case; jupyter lab --port=8181 --ip=10.172.161.6 --allow-root placement-minizinc.ipynb'
diff --git a/examples/placement-models-minizinc/5g-placement-scheduling/gold-1.dzn b/examples/placement-models-minizinc/5g-placement-scheduling/gold-1.dzn
new file mode 100755
index 0000000..eafacdd
--- /dev/null
+++ b/examples/placement-models-minizinc/5g-placement-scheduling/gold-1.dzn
@@ -0,0 +1,116 @@
+% enum CUST_TYPES = { STANDARD, SILVER, GOLD };
+% enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };
+% enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };
+% enum CLOUD_REGION_CAPACITY = {CPU_CLOUD, MEMORY_CLOUD};
+
+NCR = 8; % e-dc-1,2,3,4,5 core-dc-6,7,8
+N_ATTR = 4;
+N_UTILIZATION_METRICS = 2;
+N_CAPM = 2;
+N_VMS = 3;
+C_ALLOC_THRESHOLD = 0.65;
+CUST_ALLOC_THRESHOLD = 0.95;
+AVG_CPU_UTILIZATION_THRESHOLD = 0.7;
+PEAK_CPU_UTILIZATION_THRESHOLD = 0.95;
+
+cust_type = GOLD;
+N_WL = 5;
+MIN_GUAR_ADDL_WT = 1000;
+
+u_lat = 0;
+u_lon = 0;
+cr_lat = [0, 1, 2, 3, 4, 100, 100, 100];
+cr_lon = [0, 1, 2, 3, 4, 100, 100, 100];
+dist_norm = 1000.0;
+max_dist_ue = 3.0;
+
+% enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };
+w_attr = [0.1, 0.7, 0.1, 0.1];
+capabilities = [| 0, 1, 0, 1 % edge dc 1
+ | 0, 1, 1, 1 % edge dc 2
+ | 0, 1, 0, 0 % edge dc 3
+ | 0, 1, 0, 1 % edge dc 4
+ | 0, 1, 0, 1 % edge dc 5
+ | 1, 0, 1, 0 % core dc 6
+ | 1, 0, 0, 0 % core dc 7
+ | 1, 0, 0, 0 |];% core dc 8
+
+% enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };
+w_metrics = [0.9, 0.1];
+cpu_utilization = [| 0.1, 0.5
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.6, 0.8
+ | 0.6, 0.8
+ | 0.6, 0.8 |];
+
+c_alloc_capacity = [| 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 2400, 4800
+ | 2400, 4800
+ | 2400, 4800 |];
+
+c_total_capacity = [| 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 4000, 8000
+ | 4000, 8000
+ | 4000, 8000 |];
+
+c_alloc_capacity_norm = [| 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6 |];
+
+cust_alloc_capacity = [| 60, 120
+ | 60, 120
+ | 60, 120
+ | 60, 120
+ | 60, 120
+ | 240, 480
+ | 240, 480
+ | 240, 480 |];
+
+cust_total_capacity = [| 100, 200
+ | 100, 200
+ | 100, 200
+ | 100, 200
+ | 100, 200
+ | 400, 800
+ | 400, 800
+ | 400, 800 |];
+
+cust_alloc_capacity_norm = [| 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6 |];
+
+vm_reqs = [| 1, 4
+ | 2, 8
+ | 4, 16 |];
+
+%vm_reqs_sums = [ 14, 56 ];
+
+vm_reqs_sums_norm = [| 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.00175, 0.0035
+ | 0.00175, 0.0035
+ | 0.00175, 0.0035 |];
diff --git a/examples/placement-models-minizinc/5g-placement-scheduling/gold-2.dzn b/examples/placement-models-minizinc/5g-placement-scheduling/gold-2.dzn
new file mode 100755
index 0000000..b821a5a
--- /dev/null
+++ b/examples/placement-models-minizinc/5g-placement-scheduling/gold-2.dzn
@@ -0,0 +1,116 @@
+% enum CUST_TYPES = { STANDARD, SILVER, GOLD };
+% enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };
+% enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };
+% enum CLOUD_REGION_CAPACITY = {CPU_CLOUD, MEMORY_CLOUD};
+
+NCR = 8; % e-dc-1,2,3,4,5 core-dc-6,7,8
+N_ATTR = 4;
+N_UTILIZATION_METRICS = 2;
+N_CAPM = 2;
+N_VMS = 3;
+C_ALLOC_THRESHOLD = 0.65;
+CUST_ALLOC_THRESHOLD = 0.95;
+AVG_CPU_UTILIZATION_THRESHOLD = 0.7;
+PEAK_CPU_UTILIZATION_THRESHOLD = 0.95;
+
+cust_type = GOLD;
+N_WL = 5;
+MIN_GUAR_ADDL_WT = 1000;
+
+u_lat = 1;
+u_lon = 1;
+cr_lat = [0, 1, 2, 3, 4, 100, 100, 100];
+cr_lon = [0, 1, 2, 3, 4, 100, 100, 100];
+dist_norm = 1000.0;
+max_dist_ue = 3.0;
+
+% enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };
+w_attr = [0.1, 0.7, 0.1, 0.1];
+capabilities = [| 0, 1, 0, 1 % edge dc 1
+ | 0, 1, 1, 1 % edge dc 2
+ | 0, 1, 0, 0 % edge dc 3
+ | 0, 1, 0, 1 % edge dc 4
+ | 0, 1, 0, 1 % edge dc 5
+ | 1, 0, 1, 0 % core dc 6
+ | 1, 0, 0, 0 % core dc 7
+ | 1, 0, 0, 0 |];% core dc 8
+
+% enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };
+w_metrics = [0.9, 0.1];
+cpu_utilization = [| 0.1, 0.5
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.6, 0.8
+ | 0.6, 0.8
+ | 0.6, 0.8 |];
+
+c_alloc_capacity = [| 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 2400, 4800
+ | 2400, 4800
+ | 2400, 4800 |];
+
+c_total_capacity = [| 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 4000, 8000
+ | 4000, 8000
+ | 4000, 8000 |];
+
+c_alloc_capacity_norm = [| 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6 |];
+
+cust_alloc_capacity = [| 60, 120
+ | 60, 120
+ | 60, 120
+ | 60, 120
+ | 60, 120
+ | 240, 480
+ | 240, 480
+ | 240, 480 |];
+
+cust_total_capacity = [| 100, 200
+ | 100, 200
+ | 100, 200
+ | 100, 200
+ | 100, 200
+ | 400, 800
+ | 400, 800
+ | 400, 800 |];
+
+cust_alloc_capacity_norm = [| 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6 |];
+
+vm_reqs = [| 1, 4
+ | 2, 8
+ | 4, 16 |];
+
+%vm_reqs_sums = [ 14, 56 ];
+
+vm_reqs_sums_norm = [| 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.00175, 0.0035
+ | 0.00175, 0.0035
+ | 0.00175, 0.0035 |];
diff --git a/examples/placement-models-minizinc/5g-placement-scheduling/gold-3.dzn b/examples/placement-models-minizinc/5g-placement-scheduling/gold-3.dzn
new file mode 100755
index 0000000..84af4bc
--- /dev/null
+++ b/examples/placement-models-minizinc/5g-placement-scheduling/gold-3.dzn
@@ -0,0 +1,116 @@
+% enum CUST_TYPES = { STANDARD, SILVER, GOLD };
+% enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };
+% enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };
+% enum CLOUD_REGION_CAPACITY = {CPU_CLOUD, MEMORY_CLOUD};
+
+NCR = 8; % e-dc-1,2,3,4,5 core-dc-6,7,8
+N_ATTR = 4;
+N_UTILIZATION_METRICS = 2;
+N_CAPM = 2;
+N_VMS = 3;
+C_ALLOC_THRESHOLD = 0.65;
+CUST_ALLOC_THRESHOLD = 0.95;
+AVG_CPU_UTILIZATION_THRESHOLD = 0.7;
+PEAK_CPU_UTILIZATION_THRESHOLD = 0.95;
+
+cust_type = GOLD;
+N_WL = 5;
+MIN_GUAR_ADDL_WT = 1000;
+
+u_lat = 3;
+u_lon = 3;
+cr_lat = [0, 1, 2, 3, 4, 100, 100, 100];
+cr_lon = [0, 1, 2, 3, 4, 100, 100, 100];
+dist_norm = 1000.0;
+max_dist_ue = 3.0;
+
+% enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };
+w_attr = [0.1, 0.7, 0.1, 0.1];
+capabilities = [| 0, 1, 0, 1 % edge dc 1
+ | 0, 1, 1, 1 % edge dc 2
+ | 0, 1, 0, 0 % edge dc 3
+ | 0, 1, 0, 1 % edge dc 4
+ | 0, 1, 0, 1 % edge dc 5
+ | 1, 0, 1, 0 % core dc 6
+ | 1, 0, 0, 0 % core dc 7
+ | 1, 0, 0, 0 |];% core dc 8
+
+% enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };
+w_metrics = [0.9, 0.1];
+cpu_utilization = [| 0.1, 0.5
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.6, 0.8
+ | 0.6, 0.8
+ | 0.6, 0.8 |];
+
+c_alloc_capacity = [| 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 2400, 4800
+ | 2400, 4800
+ | 2400, 4800 |];
+
+c_total_capacity = [| 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 4000, 8000
+ | 4000, 8000
+ | 4000, 8000 |];
+
+c_alloc_capacity_norm = [| 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6 |];
+
+cust_alloc_capacity = [| 60, 120
+ | 60, 120
+ | 60, 120
+ | 60, 120
+ | 60, 120
+ | 240, 480
+ | 240, 480
+ | 240, 480 |];
+
+cust_total_capacity = [| 100, 200
+ | 100, 200
+ | 100, 200
+ | 100, 200
+ | 100, 200
+ | 400, 800
+ | 400, 800
+ | 400, 800 |];
+
+cust_alloc_capacity_norm = [| 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6 |];
+
+vm_reqs = [| 1, 4
+ | 2, 8
+ | 4, 16 |];
+
+%vm_reqs_sums = [ 14, 56 ];
+
+vm_reqs_sums_norm = [| 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.00175, 0.0035
+ | 0.00175, 0.0035
+ | 0.00175, 0.0035 |];
diff --git a/examples/placement-models-minizinc/5g-placement-scheduling/gold-4.dzn b/examples/placement-models-minizinc/5g-placement-scheduling/gold-4.dzn
new file mode 100755
index 0000000..172766b
--- /dev/null
+++ b/examples/placement-models-minizinc/5g-placement-scheduling/gold-4.dzn
@@ -0,0 +1,116 @@
+% enum CUST_TYPES = { STANDARD, SILVER, GOLD };
+% enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };
+% enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };
+% enum CLOUD_REGION_CAPACITY = {CPU_CLOUD, MEMORY_CLOUD};
+
+NCR = 8; % e-dc-1,2,3,4,5 core-dc-6,7,8
+N_ATTR = 4;
+N_UTILIZATION_METRICS = 2;
+N_CAPM = 2;
+N_VMS = 3;
+C_ALLOC_THRESHOLD = 0.65;
+CUST_ALLOC_THRESHOLD = 0.95;
+AVG_CPU_UTILIZATION_THRESHOLD = 0.7;
+PEAK_CPU_UTILIZATION_THRESHOLD = 0.95;
+
+cust_type = GOLD;
+N_WL = 5;
+MIN_GUAR_ADDL_WT = 1000;
+
+u_lat = 3;
+u_lon = 3;
+cr_lat = [0, 1, 2, 3, 4, 100, 100, 100];
+cr_lon = [0, 1, 2, 3, 4, 100, 100, 100];
+dist_norm = 1000.0;
+max_dist_ue = 3.0;
+
+% enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };
+w_attr = [0.1, 0.7, 0.1, 0.1];
+capabilities = [| 0, 1, 0, 1 % edge dc 1
+ | 0, 1, 1, 1 % edge dc 2
+ | 0, 1, 0, 0 % edge dc 3
+ | 0, 1, 0, 1 % edge dc 4
+ | 0, 1, 0, 1 % edge dc 5
+ | 1, 0, 1, 0 % core dc 6
+ | 1, 0, 0, 0 % core dc 7
+ | 1, 0, 0, 0 |];% core dc 8
+
+% enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };
+w_metrics = [0.9, 0.1];
+cpu_utilization = [| 0.1, 0.5
+ | 0.1, 0.96
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.6, 0.8
+ | 0.6, 0.8
+ | 0.6, 0.8 |];
+
+c_alloc_capacity = [| 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 2400, 4800
+ | 2400, 4800
+ | 2400, 4800 |];
+
+c_total_capacity = [| 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 4000, 8000
+ | 4000, 8000
+ | 4000, 8000 |];
+
+c_alloc_capacity_norm = [| 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6 |];
+
+cust_alloc_capacity = [| 60, 120
+ | 60, 120
+ | 60, 120
+ | 60, 120
+ | 60, 120
+ | 240, 480
+ | 240, 480
+ | 240, 480 |];
+
+cust_total_capacity = [| 100, 200
+ | 100, 200
+ | 100, 200
+ | 100, 200
+ | 100, 200
+ | 400, 800
+ | 400, 800
+ | 400, 800 |];
+
+cust_alloc_capacity_norm = [| 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6 |];
+
+vm_reqs = [| 1, 4
+ | 2, 8
+ | 4, 16 |];
+
+%vm_reqs_sums = [ 14, 56 ];
+
+vm_reqs_sums_norm = [| 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.00175, 0.0035
+ | 0.00175, 0.0035
+ | 0.00175, 0.0035 |];
diff --git a/examples/placement-models-minizinc/5g-placement-scheduling/gold.dzn b/examples/placement-models-minizinc/5g-placement-scheduling/gold.dzn
new file mode 100755
index 0000000..eafacdd
--- /dev/null
+++ b/examples/placement-models-minizinc/5g-placement-scheduling/gold.dzn
@@ -0,0 +1,116 @@
+% enum CUST_TYPES = { STANDARD, SILVER, GOLD };
+% enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };
+% enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };
+% enum CLOUD_REGION_CAPACITY = {CPU_CLOUD, MEMORY_CLOUD};
+
+NCR = 8; % e-dc-1,2,3,4,5 core-dc-6,7,8
+N_ATTR = 4;
+N_UTILIZATION_METRICS = 2;
+N_CAPM = 2;
+N_VMS = 3;
+C_ALLOC_THRESHOLD = 0.65;
+CUST_ALLOC_THRESHOLD = 0.95;
+AVG_CPU_UTILIZATION_THRESHOLD = 0.7;
+PEAK_CPU_UTILIZATION_THRESHOLD = 0.95;
+
+cust_type = GOLD;
+N_WL = 5;
+MIN_GUAR_ADDL_WT = 1000;
+
+u_lat = 0;
+u_lon = 0;
+cr_lat = [0, 1, 2, 3, 4, 100, 100, 100];
+cr_lon = [0, 1, 2, 3, 4, 100, 100, 100];
+dist_norm = 1000.0;
+max_dist_ue = 3.0;
+
+% enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };
+w_attr = [0.1, 0.7, 0.1, 0.1];
+capabilities = [| 0, 1, 0, 1 % edge dc 1
+ | 0, 1, 1, 1 % edge dc 2
+ | 0, 1, 0, 0 % edge dc 3
+ | 0, 1, 0, 1 % edge dc 4
+ | 0, 1, 0, 1 % edge dc 5
+ | 1, 0, 1, 0 % core dc 6
+ | 1, 0, 0, 0 % core dc 7
+ | 1, 0, 0, 0 |];% core dc 8
+
+% enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };
+w_metrics = [0.9, 0.1];
+cpu_utilization = [| 0.1, 0.5
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.1, 0.5
+ | 0.6, 0.8
+ | 0.6, 0.8
+ | 0.6, 0.8 |];
+
+c_alloc_capacity = [| 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 600, 1200
+ | 2400, 4800
+ | 2400, 4800
+ | 2400, 4800 |];
+
+c_total_capacity = [| 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 1000, 2000
+ | 4000, 8000
+ | 4000, 8000
+ | 4000, 8000 |];
+
+c_alloc_capacity_norm = [| 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6 |];
+
+cust_alloc_capacity = [| 60, 120
+ | 60, 120
+ | 60, 120
+ | 60, 120
+ | 60, 120
+ | 240, 480
+ | 240, 480
+ | 240, 480 |];
+
+cust_total_capacity = [| 100, 200
+ | 100, 200
+ | 100, 200
+ | 100, 200
+ | 100, 200
+ | 400, 800
+ | 400, 800
+ | 400, 800 |];
+
+cust_alloc_capacity_norm = [| 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6
+ | 0.6, 0.6 |];
+
+vm_reqs = [| 1, 4
+ | 2, 8
+ | 4, 16 |];
+
+%vm_reqs_sums = [ 14, 56 ];
+
+vm_reqs_sums_norm = [| 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.007, 0.014
+ | 0.00175, 0.0035
+ | 0.00175, 0.0035
+ | 0.00175, 0.0035 |];
diff --git a/examples/placement-models-minizinc/5g-placement-scheduling/network-slicing.ipynb b/examples/placement-models-minizinc/5g-placement-scheduling/network-slicing.ipynb
new file mode 100644
index 0000000..4518603
--- /dev/null
+++ b/examples/placement-models-minizinc/5g-placement-scheduling/network-slicing.ipynb
@@ -0,0 +1,77 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "!mzn-gecode placement.mzn gold-1.dzn"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "!mzn-gecode placement.mzn gold-2.dzn"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "!mzn-gecode placement.mzn gold-3.dzn"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "!mzn-gecode placement.mzn gold-4.dzn"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "!mzn-gecode placement.mzn gold-5.dzn"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.6.4"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/examples/placement-models-minizinc/5g-placement-scheduling/placement.mzn b/examples/placement-models-minizinc/5g-placement-scheduling/placement.mzn
new file mode 100755
index 0000000..dc41f0c
--- /dev/null
+++ b/examples/placement-models-minizinc/5g-placement-scheduling/placement.mzn
@@ -0,0 +1,104 @@
+include "globals.mzn";
+
+int: NCR; % number of cloud regions
+int: N_ATTR; % number of capability related attributes
+array[1..N_ATTR] of float: w_attr; % weights of each attribute
+
+int: N_UTILIZATION_METRICS; % number of dynamic capacity metrics of interest
+% set of 1..N_UTILIZATION_METRICS: U_METRICS;
+array[1..N_UTILIZATION_METRICS] of float: w_metrics; % weights of each capacity metric
+
+int: cust_type; % customer type, 0 = regular, 1 = silver, 2 = gold
+int: N_VMS; % number of VMs in VNF
+int: N_CAPM; % number of metrics for cloud region capacity check
+int: MIN_GUAR_ADDL_WT; % additional weight for min guarantee capability
+
+float: C_ALLOC_THRESHOLD; % allocation threshold for cloud
+float: CUST_ALLOC_THRESHOLD; % allocation threshold for customer in cloud
+float: AVG_CPU_UTILIZATION_THRESHOLD;
+float: PEAK_CPU_UTILIZATION_THRESHOLD;
+
+int: u_lat;
+int: u_lon;
+float: dist_norm;
+float: max_dist_ue;
+array[1..NCR] of int: cr_lat;
+array[1..NCR] of int: cr_lon;
+
+enum CUST_TYPES = { STANDARD, SILVER, GOLD };
+enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };
+enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };
+enum CLOUD_REGION_CAPACITY = {CPU_CLOUD, MEMORY_CLOUD};
+enum WL_TYPES = { W1, W2, W3, W4, W5 };
+int: N_WL;
+
+% set of 1..N_CAPM: CAP_METRICS;
+
+% whether a cloud region has the corresponding capability -- data will be customer specific
+array[1..NCR, 1..N_ATTR] of int: capabilities;
+array[1..NCR, 1..N_UTILIZATION_METRICS] of float: cpu_utilization; % how much capacity is already dynamically utilized (fraction)
+array[1..NCR, 1..N_CAPM] of int: c_alloc_capacity; % how much percent is already allocated in the cloud
+array[1..NCR, 1..N_CAPM] of int: c_total_capacity; % total cloud capacity
+array[1..NCR, 1..N_CAPM] of float: c_alloc_capacity_norm;
+array[1..NCR, 1..N_CAPM] of int: cust_alloc_capacity; % how much percent is already allocated in the cloud for the customer
+array[1..NCR, 1..N_CAPM] of int: cust_total_capacity; % total cloud capacity for customer
+array[1..NCR, 1..N_CAPM] of float: cust_alloc_capacity_norm;
+
+% VM requirements for each type of capacity (vm cpu, memory, etc.)
+% TODO: establish a standard for units (MB RAM, GB disk, N virtual cores, etc.)
+array[1..N_VMS, 1..N_CAPM] of int: vm_reqs;
+array[1..N_CAPM] of int: vm_reqs_sums = [ sum(k in 1..N_VMS) (vm_reqs[k,j]) | j in 1..N_CAPM ];
+array[1..NCR, 1..N_CAPM] of float: vm_reqs_sums_norm;
+%forall(i in 1..NCR, j in 1..N_CAPM) (
+% vm_reqs_sums_norm[i, j] = vm_reqs_sums[j]/c_total_capacity[i, j]
+%)
+%array[1..NCR, 1..N_CAPM] of float: vm_reqs_sums_norm = [ ((vm_reqs_sums[j]/c_total_capacity[i,j]) | j in 1..N_CAPM) | i in 1..NCR ];
+
+array[1..N_WL] of var int: s_regions; % target cloud regions (solution to the problem)
+
+function var float: dist(var int: x1, var int: y1, var int: x2, var int: y2) = (sqrt(pow((x1-x2),2) + pow((y1-y2),2)))/dist_norm;
+
+% custom constraints
+constraint forall (s in s_regions) (
+ cpu_utilization[s, AVG_CPU_UTILIZATION] <= AVG_CPU_UTILIZATION_THRESHOLD /\ % hard constraint: need some capacity available
+ cpu_utilization[s, PEAK_CPU_UTILIZATION] <= PEAK_CPU_UTILIZATION_THRESHOLD /\ % hard constraint: need some capacity available
+ cust_alloc_capacity[s, CPU_CLOUD] <= (CUST_ALLOC_THRESHOLD*(cust_total_capacity[s, CPU_CLOUD])) - (vm_reqs_sums[CPU_CLOUD]) /\
+ cust_alloc_capacity[s, MEMORY_CLOUD] <= (CUST_ALLOC_THRESHOLD*(cust_total_capacity[s, MEMORY_CLOUD])) - (vm_reqs_sums[MEMORY_CLOUD]) /\
+ c_alloc_capacity[s, CPU_CLOUD] <= (C_ALLOC_THRESHOLD*(c_total_capacity[s, CPU_CLOUD])) - (vm_reqs_sums[CPU_CLOUD]) /\
+ c_alloc_capacity[s, MEMORY_CLOUD] <= (C_ALLOC_THRESHOLD*(c_total_capacity[s, MEMORY_CLOUD])) - (vm_reqs_sums[MEMORY_CLOUD])
+);
+
+% specific constraints based on the workload
+constraint [capabilities[s_regions[x], CORE_DC] | x in WL_TYPES] = [1, 1, 0, 0, 0];
+
+constraint forall (x in [W3, W4, W5])
+(dist(u_lat, u_lon, cr_lat[s_regions[x]], cr_lon[s_regions[x]]) < max_dist_ue/dist_norm);
+
+constraint all_different([s_regions[x] | x in WL_TYPES]);
+
+% custom soft constraint for gold customers -- give a large weight to Minimum Guarantee
+var float: additional_obj = sum(s in s_regions) (bool2int(cust_type = GOLD) * capabilities[s, MIN_GUARANTEE] * MIN_GUAR_ADDL_WT);
+
+% TODO: global constraints (such as data validation)
+
+% Objective for utilization
+var float: obj_c_capacity = sum(k in 1..N_CAPM, s in s_regions) (
+ (1 - c_alloc_capacity_norm[s, k] - vm_reqs_sums_norm[s, k]) +
+% (1 - cust_alloc_capacity_norm[s, k] - vm_reqs_sums_norm[s, k]));
+ (1 - cust_alloc_capacity_norm[s, k] - vm_reqs_sums_norm[s, k]) +
+ (1 - dist(u_lat, u_lon,cr_lat[s], cr_lon[s])));
+
+% Objective for utilization
+var float: obj_utilization = sum(k in 1..N_UTILIZATION_METRICS, s in s_regions) ( w_metrics[k] * (1 - cpu_utilization[s, k]) );
+
+% Objective for capabilities
+var float: obj_capabilities = sum(k in 1..N_ATTR, s in s_regions) ( w_attr[k] * capabilities[s, k] );
+
+% Overall objective function
+var float: obj = obj_c_capacity + obj_utilization + obj_capabilities + additional_obj;
+
+solve maximize obj;
+
+output [ "Solution: \n"
+ ++ concat(["Cloud Region for W" ++ format(x) ++ " = " ++ format(s_regions[x]) ++ "\n" | x in 1..N_WL]) ]
+ ++ [ "Objective function value: ", show(obj), "\n", "Customer type: ", show(cust_type), "\n"];