Novel Hierarchical Markov Decision Process Framework to Enable Ridesharing in On-Demand Air Service Operations

2021 ◽  
Author(s):  
Apoorv Maheshwari ◽  
Dan DeLaurentis
2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Jianxiong Wan ◽  
Limin Liu ◽  
Jianwei Guo

We investigate the request routing problem in the CDN-based Video-on-Demand system. We model the system as a controlled queueing system including a dispatcher and several edge servers. The system is formulated as a Markov decision process (MDP). Since the MDP formulation suffers from the so-called “the curse of dimensionality” problem, we then develop a greedy heuristic algorithm, which is simple and can be implemented online, to approximately solve the MDP model. However, we do not know how far it deviates from the optimal solution. To address this problem, we further aggregate the state space of the original MDP model and use the bounded-parameter MDP (BMDP) to reformulate the system. This allows us to obtain a suboptimal solution with a known performance bound. The effectiveness of two approaches is evaluated in a simulation study.


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