no code implementations • 6 Sep 2020 • Heng-Li Liu, Quan-Lin Li, Chi Zhang
In this paper, we discuss an interesting but challenging bilateral stochastically matching problem: A more general matched queue with matching batch pair (m, n) and two types (i. e., types A and B) of impatient customers, where the arrivals of A- and B-customers are both Poisson processes, m A-customers and n B-customers are matched as a group which leaves the system immediately, and the customers' impatient behavior is to guarantee the stability of the system.
no code implementations • 25 Aug 2019 • Quan-Lin Li, Yi-Meng Li, Jing-Yu Ma, Heng-Li Liu
In this paper, we study a stock-rationing queue with two demand classes by means of the sensitivity-based optimization, and develop a complete algebraic solution to the optimal dynamic rationing policy.
Optimization and Control Computational Engineering, Finance, and Science Systems and Control Systems and Control 90B05, 90B22, 90B30, 60J27, 90C40, 93E20