5 papers
The Lie algebra of polynomial vector fields on the affine space with constant divergence is -generated
Ivan Beldiev, Gleb Pogudin
A Lie algebra is said to be -generated if every nonzero element can be completed to a two-element generating set. We prove that the Lie algebra of polynomial vector fields wit…
A Graph Neural Network--Guided Genetic Algorithm for Physical Internet Supply Chain Optimization under Cost Uncertainty
Faezeh Ardali, Gerald M. Knapp
Inventory and distribution planning in Physical Internet networks requires coordinating factory-hub assignments, factory supply, lateral transshipment among collaborative hubs, ret…
A Deep Reinforcement Learning (DRL)-Based Transformer Method for Solving the Open Shop Scheduling Problem
Faezeh Ardali, Mwembezi A. Nyelele, Gerald M. Knapp
The open shop scheduling problem (OSSP) arises in many industrial and service settings but remains computationally challenging as the number of jobs and machines increases. While e…
Event-Driven Deep RL Dispatcher for Post-Storm Distribution System Restoration
Farshad Amani, Faezeh Ardali, Amin Kargarian
Natural hazards such as hurricanes and floods damage power grid equipment, forcing operators to replan restoration repeatedly as new information becomes available. This paper devel…
Learning Optimal Crew Dispatch for Grid Restoration Following an Earthquake
Farshad Amani, Faezeh Ardali, Amin Kargarian
Post-disaster crew dispatch is a critical but computationally intensive task. Traditional mixed-integer linear programming methods often require minutes to several hours to compute…