@article {26182, title = {Double-sided Queues with Marked Markovian Arrival Processes and Abandonment}, journal = {Stochastic Models}, year = {2020}, abstract = {In this paper, we study a double-sided queueing model with marked Markovian arrival processes and finite discrete abandonment times. We apply the theory of multi-layer Markov modulated fluid flow (MMFF) processes to analyze the queueing model. First, we define three age processes for the queueing system and convert them into a multi-layer\ MMFF\ process. Then we analyze the multi-layer\ MMFF\ process to find queueing performance measures related to the age processes, matching rates/probabilities, waiting times, and queue lengths for both sides of the queueing system. We obtain a number of aggregate quantities as well as quantities for individual types of inputs, which can be useful for the analysis and design of, for examples, passenger-taxi service systems and organ transplantation systems.}, url = {https://www.tandfonline.com/doi/full/10.1080/15326349.2020.1794898}, author = {Haoran Wu and Qi-Ming He} }