2022/02/21 by Ravi Suman, Suman, Ravi, Ananth Krishnamurthy +1
Business, Management and Accounting · Computer Science · Decision Sciences · #Advanced Queuing Theory Analysis #FOS: Computer and information sciences #FOS: Mathematics #Performance (cs.PF) #Petri Nets in System Modeling #Probability (math.PR) #Simulation Techniques and Applications
paper · pdf · doi:10.48550/arxiv.2202.10045
openalex publication_date 2022/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper analyzes the performance of tandem network of polling queue with setups. For a system with two-products and two-stations, we propose a new approach based on a partially-collapsible state-space characterization to reduce state-space complexity. In this approach, the size of the state-space is varied depending on the information needed to determine buffer levels and waiting times. We evaluate system performance under different system setting and comment on the numerical accuracy of the approach as well as provide managerial insights. Numerical results show that approach yields reliable estimates of the performance measures. We also show how product and station asymmetry significantly affect the systems performance.