license: apache-2.0
pipeline_tag: reinforcement-learning
tags:
- Deep Reinforcement Learning
- Combinatorial Optimization
- Reinforcement Learning
- Vehicle Routing Problem
✊GreedRL
🏆Award
Introduction
GENERAL
HIGH-PERFORMANCE
USER-FRIENDLY
Architecture design
The entire architecture is divided into three layers:
High-performance Env framework
The constraints and optimization objectives for the problems to be solved are defined in the Reinforcement Learning(RL) Environment(Env). Based on performance and ease of use considerations, the Env framework provides two implementations:one based on pytorch and one based on CUDA C++. To facilitate the definition of problems for developers, the framework abstracts multiple variables to represent the environment's state, which are automatically generated after being declared by the user. When defining constraints and optimization objectives, developers can directly refer to the declared variables.
Currently, various VRP variants such as CVRP, VRPTW and PDPTW, as well as problems such as Batching, are supported.
Pluggable NN components
The framework provides certain neural network(NN) components, and developers can also implement custom neural network components.
High-performance NN operators
In order to achieve the ultimate performance, the framework implements some high-performance operators specifically for Combinatorial Optimization(CO) problems to replace pytorch operators, such as the Masked Addition Attention and Masked Softmax Sampling."
Network design
The neural network adopts the Seq2Seq architecture commonly used in Natural Language Processing(NLP), with the Transformer used in the Encoding part and RNN used in the decoding part, as shown in the diagram below.
Modeling examples
Capacitated Vehicle Routing Problem (CVRP)
CVRP
from greedrl.feature import *
from greedrl.variable import *
from greedrl.function import *
from greedrl import Problem, Solution, Solver
from greedrl import runner
features = [continuous_feature('task_demand'),
continuous_feature('worker_weight_limit'),
continuous_feature('distance_matrix'),
variable_feature('distance_this_to_task'),
variable_feature('distance_task_to_end')]
variables = [task_demand_now('task_demand_now', feature='task_demand'),
task_demand_now('task_demand_this', feature='task_demand', only_this=True),
feature_variable('task_weight'),
worker_variable('worker_weight_limit'),
worker_used_resource('worker_used_weight', task_require='task_weight'),
edge_variable('distance_last_to_this', feature='distance_matrix', last_to_this=True),
edge_variable('distance_this_to_task', feature='distance_matrix', this_to_task=True),
edge_variable('distance_task_to_end', feature='distance_matrix', task_to_end=True)]
class Constraint:
def do_task(self):
return self.task_demand_this
def mask_task(self):
# 已经完成的任务
mask = self.task_demand_now <= 0
# 车辆容量限制
worker_weight_limit = self.worker_weight_limit - self.worker_used_weight
mask |= self.task_demand_now * self.task_weight > worker_weight_limit[:, None]
return mask
def finished(self):
return torch.all(self.task_demand_now <= 0, 1)
class Objective:
def step_worker_end(self):
return self.distance_last_to_this
def step_task(self):
return self.distance_last_to_this
Pickup and Delivery Problem with Time Windows(PDPTW)
PDPTW
from greedrl.model import runner
from greedrl.feature import *
from greedrl.variable import *
from greedrl.function import *
from greedrl import Problem, Solution, Solver
features = [local_category('task_group'),
global_category('task_priority', 2),
variable_feature('distance_this_to_task'),
variable_feature('distance_task_to_end')]
variables = [task_demand_now('task_demand_now', feature='task_demand'),
task_demand_now('task_demand_this', feature='task_demand', only_this=True),
feature_variable('task_weight'),
feature_variable('task_group'),
feature_variable('task_priority'),
feature_variable('task_due_time2', feature='task_due_time'),
task_variable('task_due_time'),
task_variable('task_service_time'),
task_variable('task_due_time_penalty'),
worker_variable('worker_basic_cost'),
worker_variable('worker_distance_cost'),
worker_variable('worker_due_time'),
worker_variable('worker_weight_limit'),
worker_used_resource('worker_used_weight', task_require='task_weight'),
worker_used_resource('worker_used_time', 'distance_matrix', 'task_service_time', 'task_ready_time',
'worker_ready_time'),
edge_variable('distance_last_to_this', feature='distance_matrix', last_to_this=True),
edge_variable('distance_this_to_task', feature='distance_matrix', this_to_task=True),
edge_variable('distance_task_to_end', feature='distance_matrix', task_to_end=True)]
class Constraint:
def do_task(self):
return self.task_demand_this
def mask_worker_end(self):
return task_group_split(self.task_group, self.task_demand_now <= 0)
def mask_task(self):
mask = self.task_demand_now <= 0
mask |= task_group_priority(self.task_group, self.task_priority, mask)
worker_used_time = self.worker_used_time[:, None] + self.distance_this_to_task
mask |= (worker_used_time > self.task_due_time2) & (self.task_priority == 0)
# 容量约束
worker_weight_limit = self.worker_weight_limit - self.worker_used_weight
mask |= self.task_demand_now * self.task_weight > worker_weight_limit[:, None]
return mask
def finished(self):
return torch.all(self.task_demand_now <= 0, 1)
class Objective:
def step_worker_start(self):
return self.worker_basic_cost
def step_worker_end(self):
feasible = self.worker_used_time <= self.worker_due_time
return self.distance_last_to_this * self.worker_distance_cost, feasible
def step_task(self):
worker_used_time = self.worker_used_time - self.task_service_time
feasible = worker_used_time <= self.task_due_time
feasible &= worker_used_time <= self.worker_due_time
cost = self.distance_last_to_this * self.worker_distance_cost
return torch.where(feasible, cost, cost + self.task_due_time_penalty), feasible
VRP with Time Windows(VRPTW)
VRPTW
from greedrl import Problem, Solution, Solver
from greedrl.feature import *
from greedrl.variable import *
from greedrl.function import *
from greedrl.model import runner
from greedrl.myenv import VrptwEnv
features = [continuous_feature('worker_weight_limit'),
continuous_feature('worker_ready_time'),
continuous_feature('worker_due_time'),
continuous_feature('worker_basic_cost'),
continuous_feature('worker_distance_cost'),
continuous_feature('task_demand'),
continuous_feature('task_weight'),
continuous_feature('task_ready_time'),
continuous_feature('task_due_time'),
continuous_feature('task_service_time'),
continuous_feature('distance_matrix')]
variables = [task_demand_now('task_demand_now', feature='task_demand'),
task_demand_now('task_demand_this', feature='task_demand', only_this=True),
feature_variable('task_weight'),
feature_variable('task_due_time'),
feature_variable('task_ready_time'),
feature_variable('task_service_time'),
worker_variable('worker_weight_limit'),
worker_variable('worker_due_time'),
worker_variable('worker_basic_cost'),
worker_variable('worker_distance_cost'),
worker_used_resource('worker_used_weight', task_require='task_weight'),
worker_used_resource('worker_used_time', 'distance_matrix', 'task_service_time', 'task_ready_time',
'worker_ready_time'),
edge_variable('distance_last_to_this', feature='distance_matrix', last_to_this=True),
edge_variable('distance_this_to_task', feature='distance_matrix', this_to_task=True),
edge_variable('distance_task_to_end', feature='distance_matrix', task_to_end=True)]
class Constraint:
def do_task(self):
return self.task_demand_this
def mask_task(self):
# 已经完成的任务
mask = self.task_demand_now <= 0
# 车辆容量限制
worker_weight_limit = self.worker_weight_limit - self.worker_used_weight
mask |= self.task_demand_now * self.task_weight > worker_weight_limit[:, None]
worker_used_time = self.worker_used_time[:, None] + self.distance_this_to_task
mask |= worker_used_time > self.task_due_time
worker_used_time = torch.max(worker_used_time, self.task_ready_time)
worker_used_time += self.task_service_time
worker_used_time += self.distance_task_to_end
mask |= worker_used_time > self.worker_due_time[:, None]
return mask
def finished(self):
return torch.all(self.task_demand_now <= 0, 1)
class Objective:
def step_worker_start(self):
return self.worker_basic_cost
def step_worker_end(self):
return self.distance_last_to_this * self.worker_distance_cost
def step_task(self):
return self.distance_last_to_this * self.worker_distance_cost
Travelling Salesman Problem(TSP)
TSP
from greedrl.feature import *
from greedrl.variable import *
from greedrl import Problem
from greedrl import runner
features = [continuous_feature('task_location'),
variable_feature('distance_this_to_task'),
variable_feature('distance_task_to_end')]
variables = [task_demand_now('task_demand_now', feature='task_demand'),
task_demand_now('task_demand_this', feature='task_demand', only_this=True),
edge_variable('distance_last_to_this', feature='distance_matrix', last_to_this=True),
edge_variable('distance_this_to_task', feature='distance_matrix', this_to_task=True),
edge_variable('distance_task_to_end', feature='distance_matrix', task_to_end=True),
edge_variable('distance_last_to_loop', feature='distance_matrix', last_to_loop=True)]
class Constraint:
def do_task(self):
return self.task_demand_this
def mask_task(self):
mask = self.task_demand_now <= 0
return mask
def mask_worker_end(self):
return torch.any(self.task_demand_now > 0, 1)
def finished(self):
return torch.all(self.task_demand_now <= 0, 1)
class Objective:
def step_worker_end(self):
return self.distance_last_to_loop
def step_task(self):
return self.distance_last_to_this
Split Delivery Vehicle Routing Problem(SDVRP)
SDVRP
from greedrl.feature import *
from greedrl.variable import *
from greedrl import Problem
from greedrl import runner
features = [continuous_feature('task_demand'),
continuous_feature('worker_weight_limit'),
continuous_feature('distance_matrix'),
variable_feature('distance_this_to_task'),
variable_feature('distance_task_to_end')]
variables = [task_demand_now('task_demand'),
task_demand_now('task_demand_this', feature='task_demand', only_this=True),
feature_variable('task_weight'),
task_variable('task_weight_this', feature='task_weight'),
worker_variable('worker_weight_limit'),
worker_used_resource('worker_used_weight', task_require='task_weight'),
edge_variable('distance_last_to_this', feature='distance_matrix', last_to_this=True)]
class Constraint:
def do_task(self):
worker_weight_limit = self.worker_weight_limit - self.worker_used_weight
return torch.min(self.task_demand_this, worker_weight_limit // self.task_weight_this)
def mask_task(self):
mask = self.task_demand <= 0
worker_weight_limit = self.worker_weight_limit - self.worker_used_weight
mask |= self.task_weight > worker_weight_limit[:, None]
return mask
def finished(self):
return torch.all(self.task_demand <= 0, 1)
class Objective:
def step_worker_end(self):
return self.distance_last_to_this
def step_task(self):
return self.distance_last_to_this
Realistic Business Scenario
real-time Dynamic Pickup and Delivery Problem(DPDP)
from greedrl.feature import *
from greedrl.variable import *
from greedrl.function import *
from greedrl import Problem
from greedrl import runner
features = [local_category('task_order'),
global_category('task_type', 2),
global_category('task_new_order', 2),
variable_feature('time_this_to_task'),
continuous_feature('x_time_matrix'),
continuous_feature('task_due_time_x'),
continuous_feature('worker_task_mask')]
variables = [task_demand_now('task_demand_now', feature='task_demand'),
task_demand_now('task_demand_this', feature='task_demand', only_this=True),
task_variable('task_pickup_this', feature='task_pickup'),
task_variable('task_due_time_this', feature='task_due_time'),
feature_variable('task_order', feature='task_order'),
feature_variable('task_type', feature='task_type'),
feature_variable('task_new_pickup', feature='task_new_pickup'),
feature_variable('worker_task_mask', feature='worker_task_mask'),
worker_count_now('worker_count_now', feature='worker_count'),
worker_variable('worker_min_old_task_this', feature='worker_min_old_task'),
worker_variable('worker_max_new_order_this', feature='worker_max_new_order'),
worker_variable('worker_task_mask_this', feature='worker_task_mask'),
worker_used_resource('worker_used_old_task', task_require='task_old'),
worker_used_resource('worker_used_new_order', task_require='task_new_pickup'),
worker_used_resource('worker_used_time', edge_require='time_matrix'),
edge_variable('time_this_to_task', feature='x_time_matrix', this_to_task=True)]
class Constraint:
def do_task(self):
return self.task_demand_this
def mask_worker_start(self):
mask = self.worker_count_now <= 0
finished = self.task_demand_now <= 0
worker_task_mask = self.worker_task_mask | finished[:, None, :]
mask |= torch.all(worker_task_mask, 2)
return mask
def mask_worker_end(self):
mask = self.worker_used_old_task < self.worker_min_old_task_this
mask |= task_group_split(self.task_order, self.task_demand_now <= 0)
return mask
def mask_task(self):
mask = self.task_demand_now <= 0
mask |= task_group_priority(self.task_order, self.task_type, mask)
worker_max_new_order = self.worker_max_new_order_this - self.worker_used_new_order
mask |= self.task_new_pickup > worker_max_new_order[:, None]
mask |= self.worker_task_mask_this
return mask
def finished(self):
worker_mask = self.worker_count_now <= 0
task_mask = self.task_demand_now <= 0
worker_task_mask = worker_mask[:, :, None] | task_mask[:, None, :]
worker_task_mask |= self.worker_task_mask
batch_size = worker_task_mask.size(0)
worker_task_mask = worker_task_mask.view(batch_size, -1)
return worker_task_mask.all(1)
class Objective:
def step_task(self):
over_time = (self.worker_used_time - self.task_due_time_this).clamp(min=0)
pickup_time = self.worker_used_time * self.task_pickup_this
return self.worker_used_time + over_time + pickup_time
def step_finish(self):
return self.task_demand_now.sum(1) * 1000
Order Batching Problem
Batching
from greedrl import Problem, Solver
from greedrl.feature import *
from greedrl.variable import *
from greedrl import runner
features = [local_feature('task_area'),
local_feature('task_roadway'),
local_feature('task_area_group'),
sparse_local_feature('task_item_id', 'task_item_num'),
sparse_local_feature('task_item_owner_id', 'task_item_num'),
variable_feature('worker_task_item'),
variable_feature('worker_used_roadway'),
variable_feature('worker_used_area')]
variables = [task_demand_now('task_demand_now', feature='task_demand'),
task_demand_now('task_demand_this', feature='task_demand', only_this=True),
feature_variable('task_item_id'),
feature_variable('task_item_num'),
feature_variable('task_item_owner_id'),
feature_variable('task_area'),
feature_variable('task_area_group'),
feature_variable('task_load'),
feature_variable('task_group'),
worker_variable('worker_load_limit'),
worker_variable('worker_area_limit'),
worker_variable('worker_area_group_limit'),
worker_task_item('worker_task_item', item_id='task_item_id', item_num='task_item_num'),
worker_task_item('worker_task_item_owner', item_id='task_item_owner_id', item_num='task_item_num'),
worker_used_resource('worker_used_load', task_require='task_load'),
worker_used_resource('worker_used_area', task_require='task_area'),
worker_used_resource('worker_used_roadway', task_require='task_roadway'),
worker_used_resource('worker_used_area_group', task_require='task_area_group')]
class Constraint:
def do_task(self):
return self.task_demand_this
def mask_worker_end(self):
return self.worker_used_load < self.worker_load_limit
def mask_task(self):
# completed tasks
mask = self.task_demand_now <= 0
# mask |= task_group_priority(self.task_group, self.task_out_stock_time, mask)
NT = self.task_item_id.size(1)
worker_task_item = self.worker_task_item[:, None, :]
worker_task_item = worker_task_item.expand(-1, NT, -1)
task_item_in_worker = worker_task_item.gather(2, self.task_item_id.long())
task_item_in_worker = (task_item_in_worker > 0) & (self.task_item_num > 0)
worker_task_item_owner = self.worker_task_item_owner[:, None, :]
worker_task_item_owner = worker_task_item_owner.expand(-1, NT, -1)
task_item_owner_in_worker = worker_task_item_owner.gather(2, self.task_item_owner_id.long())
task_item_owner_in_worker = (task_item_owner_in_worker > 0) & (self.task_item_num > 0)
#
mask |= torch.any(task_item_in_worker & ~task_item_owner_in_worker, 2)
worker_load_limit = self.worker_load_limit - self.worker_used_load
mask |= (self.task_load > worker_load_limit[:, None])
task_area = self.task_area + self.worker_used_area[:, None, :]
task_area_num = task_area.clamp(0, 1).sum(2, dtype=torch.int32)
mask |= (task_area_num > self.worker_area_limit[:, None])
tak_area_group = self.task_area_group + self.worker_used_area_group[:, None, :]
tak_area_group_num = tak_area_group.clamp(0, 1).sum(2, dtype=torch.int32)
mask |= (tak_area_group_num > self.worker_area_group_limit[:, None])
return mask
def finished(self):
return torch.all(self.task_demand_now <= 0, 1)
class Objective:
def step_worker_end(self):
area_num = self.worker_used_area.clamp(0, 1).sum(1)
roadway_num = self.worker_used_roadway.clamp(0, 1).sum(1)
item_num = self.worker_task_item.clamp(0, 1).sum(1)
penalty = (self.worker_load_limit - self.worker_used_load) * 10
return area_num * 100 + roadway_num * 10 + item_num + penalty
🤠GreedRL-CVRP-pretrained model
Model description
Intended uses & limitations
You can use these model for solving the vehicle routing problems (VRPs) with reinforcement learning (RL).
How to use
Requirements
This library requires Python == 3.8. Miniconda / Anaconda is our recommended Python distribution.
pip install torch==1.12.1+cu113 torchvision==0.13.1+cu113 torchaudio==0.12.1 --extra-index-url https://download.pytorch.org/whl/cu113
You need to compile first and add the resulting library greedrl_c
to the PYTHONPATH
python setup.py build
export PYTHONPATH={root_path}/greedrl/build/lib.linux-x86_64-cpython-38/:$PYTHONPATH
Training
We provide example of Capacitated VRP(CVRP) for training and inference.
- Training data
We use the generated data for the training phase, the customers and depot locations are randomly generated in the unit square [0,1] X [0,1].
For the CVRP, we assume that the demand of each node is a discrete number in {1,...,9}, chosen uniformly at random.
- Start training
cd examples/cvrp
python train.py --model_filename cvrp_5000.pt --problem_size 5000
Evaluation
We provide some pretrained models for different CVRP problem sizes, such as cvrp_100
, cvrp_1000
, cvrp_2000
and cvrp_5000
, that you can directly use for inference.
cd examples/cvrp
python solve.py --device cuda --model_name cvrp_5000.pt --problem_size 5000
Support
For commercial enquiries, please contact us.
About GreedRL
- Website: https://greedrl.github.io/