Approach to, given a process model in Petri net or BPMN format, compute the state of ongoing cases in constant time.
The approach consists of, in design time, given a maximum size n, create an index that associates each
n-gram -- i.e., execution of n consecutive activities -- with the state(s) they lead to in the process model.
Then, at runtime, the state of an ongoing process case can be computed in constant time by searching for the last n
executed activities in the index.
For example, for an ongoing case A-B-F-T-W-S-G-T-D
, after building the 5-gram index, the state would be computed
by searching in the index with the sequence [W, S, G, T, D]
.
This approach has been submitted as a publication to IEEE Transactions on Services Computing under the title "Efficient Online Computation of Business Process State From Trace Prefixes via N-Gram Indexing", by David Chapela-Campa and Marlon Dumas.
Package available in PyPI: https://pypi.org/project/ongoing-process-state/. Install it with:
pip install ongoing-process-state
- Python v3.9.5+
- PIP v23.0+
- Python dependencies: all packages listed in pyproject.toml
Given a process model in BPMN or Petri net format, first compute the reachability graph and build an n-gram index. Then, given an instance of an N-gram index, compute the state given an n-gram prefix.
from pathlib import Path
from ongoing_process_state.n_gram_index import NGramIndex
from ongoing_process_state.utils import read_bpmn_model
# Read BPMN model
bpmn_model_path = Path("./inputs/synthetic/synthetic_and_k5.bpmn")
bpmn_model = read_bpmn_model(bpmn_model_path)
# Compute reachability graph
reachability_graph = bpmn_model.get_reachability_graph()
# Build n-gram index
n_gram_index = NGramIndex(reachability_graph, n_gram_size_limit=5)
n_gram_index.build()
from pathlib import Path
from ongoing_process_state.n_gram_index import NGramIndex
from ongoing_process_state.utils import read_petri_net
# Read BPMN model
petri_net_path = Path("./inputs/synthetic/synthetic_and_k5.bpmn")
petri_net = read_petri_net(petri_net_path)
# Compute reachability graph
reachability_graph = petri_net.get_reachability_graph()
# Build n-gram index
n_gram_index = NGramIndex(reachability_graph, n_gram_size_limit=5)
n_gram_index.build()
from ongoing_process_state.n_gram_index import NGramIndex
# Compute the state of an ongoing case
n_gram = ["B", "E", "F", "C", "G"]
ongoing_state = n_gram_index.get_best_marking_state_for(n_gram)
# Compute the state of an ongoing case with less than N recorded events
n_gram = [NGramIndex.TRACE_START, "A", "B", "F"]
ongoing_state = n_gram_index.get_best_marking_state_for(n_gram)
The following code can be used to store/load the reachability graph in/from a file:
from pathlib import Path
from ongoing_process_state.reachability_graph import ReachabilityGraph
# Store reachability graph for future re-use
reachability_graph_path = Path("./outputs/synthetic_and_k5.tgf")
with open(reachability_graph_path, 'w') as output_file:
output_file.write(reachability_graph.to_tgf_format())
# Load reachability graph from file
with open(reachability_graph_path, 'r') as reachability_graph_file:
reachability_graph = ReachabilityGraph.from_tgf_format(reachability_graph_file.read())
We recommend to store the n-gram index in an indexed database, as the size of the map may be too big to comfortably work with it through files. However, we provide a simple functionality to store/load an n-gram index in/from a file.
from pathlib import Path
from ongoing_process_state.n_gram_index import NGramIndex
# Store n-gram index for future re-use
n_gram_index_path = Path("./outputs/synthetic_and_k5.txt")
n_gram_index.to_self_contained_map_file(n_gram_index_path)
# Lead n-gram index from file
n_gram_index = NGramIndex.from_self_contained_map_file(n_gram_index_path, reachability_graph)