Analysis of two-station polling queues with setups

Ravi Suman () and Ananth Krishnamurthy ()
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Ravi Suman: University of Wisconsin-Madison
Ananth Krishnamurthy: Indian Institute of Management Bangalore

Annals of Operations Research, 2024, vol. 333, issue 1, No 15, 417-437

Abstract: Abstract 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.

Keywords: Polling queues; Multi-product; Multi-station; Decomposition (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10479-023-05768-7

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