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|
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"int: N_CLOUD_REGIONS; % number of cloud regions\n",
"% set of 1..N_CLOUD_REGIONS: C_REGIONS;\n",
"\n",
"int: N_ATTRIBUTES; % number of capability related attributes\n",
"% set of 1..N_ATTRIBUTES: ATTRIBS;\n",
"array[1..N_ATTRIBUTES] of float: w_attributes; % weights of each attribute\n",
"\n",
"int: N_UTILIZATION_METRICS; % number of dynamic capacity metrics of interest\n",
"% set of 1..N_UTILIZATION_METRICS: U_METRICS;\n",
"array[1..N_UTILIZATION_METRICS] of float: w_metrics; % weights of each capacity metric\n",
"\n",
"int: cust_type; % customer type, 0 = regular, 1 = silver, 2 = gold\n",
"int: N_VMS; % number of VMs in VNF\n",
"int: N_CAPACITY_METRICS; % number of metrics for cloud region capacity check\n",
"\n",
"float: C_ALLOC_THRESHOLD; % allocation threshold for cloud\n",
"float: CUST_ALLOC_THRESHOLD; % allocation threshold for customer in cloud\n",
"float: AVG_CPU_UTILIZATION_THRESHOLD;\n",
"float: PEAK_CPU_UTILIZATION_THRESHOLD;\n",
"\n",
"enum CUST_TYPES = { STANDARD, SILVER, GOLD };\n",
"enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };\n",
"enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };\n",
"enum CLOUD_REGION_CAPACITY = {CPU_CLOUD, MEMORY_CLOUD};\n",
"enum VNFS_TYPES = { VDNS, VFW };\n",
"int: N_VNFS;\n",
"\n",
"% set of 1..N_CAPACITY_METRICS: CAP_METRICS;\n",
"\n",
"% whether a cloud region has the corresponding capability -- data will be customer specific\n",
"% array[1..N_CLOUD_REGIONS, 1..N_CLOUD_REGIONS] of float: c_dist;\n",
"array[1..N_CLOUD_REGIONS, 1..N_ATTRIBUTES] of int: capabilities;\n",
"array[1..N_CLOUD_REGIONS, 1..N_UTILIZATION_METRICS] of float: cpu_utilization; % how much capacity is already dynamically utilized (fraction)\n",
"array[1..N_CLOUD_REGIONS, 1..N_CAPACITY_METRICS] of int: c_alloc_capacity; % how much percent is already allocated in the cloud\n",
"array[1..N_CLOUD_REGIONS, 1..N_CAPACITY_METRICS] of int: c_total_capacity; % total cloud capacity\n",
"array[1..N_CLOUD_REGIONS, 1..N_CAPACITY_METRICS] of float: c_alloc_capacity_norm;\n",
"array[1..N_CLOUD_REGIONS, 1..N_CAPACITY_METRICS] of int: cust_alloc_capacity; % how much percent is already allocated in the cloud for the customer\n",
"array[1..N_CLOUD_REGIONS, 1..N_CAPACITY_METRICS] of int: cust_total_capacity; % total cloud capacity for customer\n",
"array[1..N_CLOUD_REGIONS, 1..N_CAPACITY_METRICS] of float: cust_alloc_capacity_norm;\n",
"\n",
"% VM requirements for each type of capacity (vm cpu, memory, etc.)\n",
"% TODO: establish a standard for units (MB RAM, GB disk, N virtual cores, etc.)\n",
"array[1..N_VMS, 1..N_CAPACITY_METRICS] of int: vm_reqs;\n",
"array[1..N_CAPACITY_METRICS] of int: vm_reqs_sums = [ sum(k in 1..N_VMS) (vm_reqs[k,j]) | j in 1..N_CAPACITY_METRICS ];\n",
"array[1..N_CLOUD_REGIONS, 1..N_CAPACITY_METRICS] of float: vm_reqs_sums_norm;\n",
"%forall(i in 1..N_CLOUD_REGIONS, j in 1..N_CAPACITY_METRICS) (\n",
"% vm_reqs_sums_norm[i, j] = vm_reqs_sums[j]/c_total_capacity[i, j]\n",
"%)\n",
"%array[1..N_CLOUD_REGIONS, 1..N_CAPACITY_METRICS] of float: vm_reqs_sums_norm = [ ((vm_reqs_sums[j]/c_total_capacity[i,j]) | j in 1..N_CAPACITY_METRICS) | i in 1..N_CLOUD_REGIONS ];\n",
"\n",
"array[1..N_VNFS] of var int: s_regions; % target cloud regions (solution to the problem)\n",
"\n",
"% custom constraints\n",
"constraint forall (s in s_regions) (\n",
" cpu_utilization[s, AVG_CPU_UTILIZATION] <= AVG_CPU_UTILIZATION_THRESHOLD /\\ % hard constraint: need some capacity available\n",
" cpu_utilization[s, PEAK_CPU_UTILIZATION] <= PEAK_CPU_UTILIZATION_THRESHOLD /\\ % hard constraint: need some capacity available\n",
" cust_alloc_capacity[s, CPU_CLOUD] <= (CUST_ALLOC_THRESHOLD*(cust_total_capacity[s, CPU_CLOUD])) - (vm_reqs_sums[CPU_CLOUD]) /\\\n",
" cust_alloc_capacity[s, MEMORY_CLOUD] <= (CUST_ALLOC_THRESHOLD*(cust_total_capacity[s, MEMORY_CLOUD])) - (vm_reqs_sums[MEMORY_CLOUD]) /\\\n",
" c_alloc_capacity[s, CPU_CLOUD] <= (C_ALLOC_THRESHOLD*(c_total_capacity[s, CPU_CLOUD])) - (vm_reqs_sums[CPU_CLOUD]) /\\\n",
" c_alloc_capacity[s, MEMORY_CLOUD] <= (C_ALLOC_THRESHOLD*(c_total_capacity[s, MEMORY_CLOUD])) - (vm_reqs_sums[MEMORY_CLOUD])\n",
");\n",
"\n",
"% specific constraints based on the VNF\n",
"constraint capabilities[s_regions[VDNS], CORE_DC] = 1; % hard constraint for vDNS: has to be placed in CORE DC\n",
"\n",
"% custom soft constraint for gold customers -- give a large weight to direct connection\n",
"var float: additional_obj = sum(s in s_regions) (bool2int(cust_type = GOLD) * capabilities[s, MIN_GUARANTEE] * 1000);\n",
"\n",
"% TODO: global constraints (such as data validation)\n",
"\n",
"% Objective for utilization\n",
"var float: obj_c_capacity = sum(k in 1..N_CAPACITY_METRICS, s in s_regions) (\n",
"\t\t (1 - c_alloc_capacity_norm[s, k] - vm_reqs_sums_norm[s, k]) +\n",
" (1 - cust_alloc_capacity_norm[s, k] - vm_reqs_sums_norm[s, k]));\n",
"\n",
"% Objective for utilization\n",
"var float: obj_utilization = sum(k in 1..N_UTILIZATION_METRICS, s in s_regions) ( w_metrics[k] * (1 - cpu_utilization[s, k]) );\n",
"\n",
"% Objective for capabilities\n",
"var float: obj_capabilities = sum(k in 1..N_ATTRIBUTES, s in s_regions) ( w_attributes[k] * capabilities[s, k] );\n",
"\n",
"% Overall objective function\n",
"var float: obj = obj_c_capacity + obj_utilization + obj_capabilities + additional_obj;\n",
"\n",
"solve maximize obj;\n",
"\n",
"output [ \"Solution: \\nCloud Region for vDNS = \", show(s_regions[VDNS]) ] \n",
"++ [ if N_VNFS = 2 then \"\\nCloud Region for vFW = \" ++ show(s_regions[VFW]) ++ \"\\n\" else \"\\n\" endif ]\n",
"++ [ \"Objective function value: \", show(obj), \"\\n\", \"Customer type: \", show(cust_type), \"\\n\"];\n"
]
}
],
"source": [
"!cat placement.mzn"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"% enum CUST_TYPES = { STANDARD, SILVER, GOLD };\n",
"% enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };\n",
"% enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };\n",
"% enum CLOUD_REGION_CAPACITY = {CPU_CLOUD, MEMORY_CLOUD};\n",
"\n",
"N_CLOUD_REGIONS = 3; % e-dc-1, core-dc-1, core-dc-2\n",
"N_ATTRIBUTES = 4;\n",
"N_UTILIZATION_METRICS = 2;\n",
"N_CAPACITY_METRICS = 2;\n",
"N_VMS = 3;\n",
"C_ALLOC_THRESHOLD = 0.65;\n",
"CUST_ALLOC_THRESHOLD = 0.95;\n",
"AVG_CPU_UTILIZATION_THRESHOLD = 0.7;\n",
"PEAK_CPU_UTILIZATION_THRESHOLD = 0.95;\n",
"\n",
"cust_type = GOLD;\n",
"N_VNFS = 1;\n",
"\n",
"w_metrics = [0.9, 0.1];\n",
"w_attributes = [0.1, 0.9, 0.05, 0.05]; \n",
"\n",
"capabilities = [| 0, 1, 1, 1\n",
" | 1, 0, 1, 1\n",
" | 1, 1, 0, 1 |];\n",
"\n",
"cpu_utilization = [| 0.05, 0.9\n",
" | 0.1, 0.5\n",
" | 0.6, 0.8 |];\n",
"\n",
"c_alloc_capacity = [| 600, 1200\n",
" | 1200, 2400\n",
" | 2400, 4800 |];\n",
"\n",
"c_total_capacity = [| 1000, 2000\n",
" | 2000, 4000\n",
" | 4000, 8000 |];\n",
"\n",
"c_alloc_capacity_norm = [| 0.6, 0.6\n",
" | 0.6, 0.6\n",
" | 0.6, 0.6 |];\n",
"\n",
"cust_alloc_capacity = [| 60, 120\n",
" | 120, 240\n",
" | 240, 480 |];\n",
"\n",
"cust_total_capacity = [| 100, 200\n",
" | 200, 400\n",
" | 400, 800 |];\n",
"\n",
"cust_alloc_capacity_norm = [| 0.6, 0.6\n",
" | 0.6, 0.6\n",
" | 0.6, 0.6 |];\n",
"\n",
"vm_reqs = [| 1, 4\n",
" | 2, 8\n",
" | 4, 16 |];\n",
"\n",
"%vm_reqs_sums = [ 14, 56 ];\n",
"\n",
"vm_reqs_sums_norm = [| 0.007, 0.014\n",
" | 0.0035, 0.007\n",
" | 0.00175, 0.0035 |];\n"
]
}
],
"source": [
"!cat gold.dzn"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"23c23\n",
"< | 1, 0, 1, 1\n",
"---\n",
"> | 1, 0, 0, 1\n"
]
}
],
"source": [
"!diff gold.dzn gold-no-min-guarantee.dzn"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"23c23\n",
"< | 1, 0, 1, 1\n",
"---\n",
"> | 1, 0, 0, 1\n"
]
}
],
"source": [
"!diff gold.dzn gold-no-min-guarantee.dzn"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"% enum CUST_TYPES = { STANDARD, SILVER, GOLD };\n",
"% enum ATTRIBUTES = { CORE_DC, DIRECT_CONN, MIN_GUARANTEE, SRIOV };\n",
"% enum METRICS = { AVG_CPU_UTILIZATION, PEAK_CPU_UTILIZATION };\n",
"% enum CLOUD_REGION_CAPACITY = {CPU_CLOUD, MEMORY_CLOUD};\n",
"\n",
"N_CLOUD_REGIONS = 3; % e-dc-1, core-dc-1, core-dc-2\n",
"N_ATTRIBUTES = 4;\n",
"N_UTILIZATION_METRICS = 2;\n",
"N_CAPACITY_METRICS = 2;\n",
"N_VMS = 3;\n",
"C_ALLOC_THRESHOLD = 0.65;\n",
"CUST_ALLOC_THRESHOLD = 0.95;\n",
"AVG_CPU_UTILIZATION_THRESHOLD = 0.7;\n",
"PEAK_CPU_UTILIZATION_THRESHOLD = 0.95;\n",
"\n",
"cust_type = SILVER;\n",
"N_VNFS = 2;\n",
"\n",
"w_metrics = [0.9, 0.1];\n",
"w_attributes = [0.1, 0.9, 0.05, 0.05]; \n",
"\n",
"capabilities = [| 0, 1, 1, 1\n",
" | 1, 0, 1, 1\n",
" | 1, 1, 0, 1 |];\n",
"\n",
"cpu_utilization = [| 0.05, 0.9\n",
" | 0.1, 0.5\n",
" | 0.6, 0.8 |];\n",
"\n",
"c_alloc_capacity = [| 600, 1200\n",
" | 1200, 2400\n",
" | 2400, 4800 |];\n",
"\n",
"c_total_capacity = [| 1000, 2000\n",
" | 2000, 4000\n",
" | 4000, 8000 |];\n",
"\n",
"c_alloc_capacity_norm = [| 0.6, 0.6\n",
" | 0.6, 0.6\n",
" | 0.6, 0.6 |];\n",
"\n",
"cust_alloc_capacity = [| 60, 120\n",
" | 120, 240\n",
" | 240, 480 |];\n",
"\n",
"cust_total_capacity = [| 100, 200\n",
" | 200, 400\n",
" | 400, 800 |];\n",
"\n",
"cust_alloc_capacity_norm = [| 0.6, 0.6\n",
" | 0.6, 0.6\n",
" | 0.6, 0.6 |];\n",
"\n",
"vm_reqs = [| 1, 4\n",
" | 2, 8\n",
" | 4, 16 |];\n",
"\n",
"%vm_reqs_sums = [ 14, 56 ];\n",
"\n",
"vm_reqs_sums_norm = [| 0.007, 0.014\n",
" | 0.0035, 0.007\n",
" | 0.00175, 0.0035 |];\n"
]
}
],
"source": [
"!cat silver.dzn"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"26c26\n",
"< cpu_utilization = [| 0.05, 0.9\n",
"---\n",
"> cpu_utilization = [| 0.05, 0.96\n"
]
}
],
"source": [
"!diff silver.dzn silver-high-edge-load.dzn"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Solution: \n",
"Cloud Region for vDNS = 2\n",
"Objective function value: 1002.639\n",
"Customer type: 3\n",
"----------\n",
"==========\n"
]
}
],
"source": [
"!mzn-gecode -a placement.mzn gold.dzn"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Solution: \n",
"Cloud Region for vDNS = 2\n",
"Objective function value: 2.589\n",
"Customer type: 3\n",
"----------\n",
"Solution: \n",
"Cloud Region for vDNS = 3\n",
"Objective function value: 3.0195\n",
"Customer type: 3\n",
"----------\n",
"==========\n"
]
}
],
"source": [
"!mzn-gecode -a placement.mzn gold-no-min-guarantee.dzn"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Solution: \n",
"Cloud Region for vDNS = 2\n",
"Cloud Region for vFW = 1\n",
"Objective function value: 6.062\n",
"Customer type: 2\n",
"----------\n",
"Solution: \n",
"Cloud Region for vDNS = 3\n",
"Cloud Region for vFW = 1\n",
"Objective function value: 6.4425\n",
"Customer type: 2\n",
"----------\n",
"==========\n"
]
}
],
"source": [
"!mzn-gecode -a placement.mzn silver.dzn"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Solution: \n",
"Cloud Region for vDNS = 2\n",
"Cloud Region for vFW = 2\n",
"Objective function value: 5.278\n",
"Customer type: 2\n",
"----------\n",
"Solution: \n",
"Cloud Region for vDNS = 3\n",
"Cloud Region for vFW = 2\n",
"Objective function value: 5.6585\n",
"Customer type: 2\n",
"----------\n",
"Solution: \n",
"Cloud Region for vDNS = 3\n",
"Cloud Region for vFW = 3\n",
"Objective function value: 6.039\n",
"Customer type: 2\n",
"----------\n",
"==========\n"
]
}
],
"source": [
"!mzn-gecode -a placement.mzn silver-high-edge-load.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
}
|
