2024/10/29 by Olya Mandelshtam, Mandelshtam, Olya, Travis Scrimshaw +1 · 1 citation
Business, Management and Accounting · Computer Science · Decision Sciences · #Advanced Queuing Theory Analysis #Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR) #Real-Time Systems Scheduling #Simulation Techniques and Applications
paper · pdf · doi:10.48550/arxiv.2410.21781
openalex publication_date 2024/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define an algorithm on fermionic and bosonic twisted multiline queues that projects to the multispecies totally asymmetric simple exclusion process (TASEP) and the totally asymmetric zero range process (TAZRP) on a ring, respectively. Our algorithm on fermionic multiline queues generalizes the Ferrari-Martin algorithm for TASEP, and we show it is equivalent to the algorithm of Arita-Ayyer-Mallick-Prolhac (2011). Our algorithm on bosonic multiline queues is novel and generalizes the corresponding algorithm of Kuniba-Maruyama-Okado (2016) for the TAZRP. We also define a Markov process on bosonic twisted multiline queues that projects to the TAZRP and intertwines with the symmetric group action on the rows of the multiline queues.