Performance optimization of queueing systems with perturbation realization |
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Authors: | Li Xia |
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Institution: | a Division of Mathematical and Computer Sciences & Engineering, King Abdullah University of Science and Technology, Thuwal, Saudi Arabia b Antai College of Business and School of Electronic Engineering, Shanghai Jiaotong University, China c Institute for Advanced Study, The Hong Kong University of Science and Technology, Hong Kong, China |
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Abstract: | After the intensive studies of queueing theory in the past decades, many excellent results in performance analysis have been obtained, and successful examples abound. However, exploring special features of queueing systems directly in performance optimization still seems to be a territory not very well cultivated. Recent progresses of perturbation analysis (PA) and sensitivity-based optimization provide a new perspective of performance optimization of queueing systems. PA utilizes the structural information of queueing systems to efficiently extract the performance sensitivity information from a sample path of system. This paper gives a brief review of PA and performance optimization of queueing systems, focusing on a fundamental concept called perturbation realization factors, which captures the special dynamic feature of a queueing system. With the perturbation realization factors as building blocks, the performance derivative formula and performance difference formula can be obtained. With performance derivatives, gradient-based optimization can be derived, while with performance difference, policy iteration and optimality equations can be derived. These two fundamental formulas provide a foundation for performance optimization of queueing systems from a sensitivity-based point of view. We hope this survey may provide some inspirations on this promising research topic. |
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Keywords: | Queueing Perturbation analysis Perturbation realization factors Performance potential Sensitivity-based optimization |
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