Stability of a frame-based maximal weight matching algorithm with transfer speedup
It has been shown that maximal size matching algorithms for input-queued switches are stable under any admissible traffic conditions with a scheduling speedup of 2. However, as link speeds increase, the computational complexity of these algorithms limits their applicability in high port-density swit...
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| Published in: | IEEE communications letters Vol. 9; no. 10; pp. 942 - 944 |
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| Main Authors: | , |
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New York, NY
IEEE
01.10.2005
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 1089-7798, 1558-2558 |
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| Abstract | It has been shown that maximal size matching algorithms for input-queued switches are stable under any admissible traffic conditions with a scheduling speedup of 2. However, as link speeds increase, the computational complexity of these algorithms limits their applicability in high port-density switches and routers. In this letter we describe a Frame-Based Maximal Weight Matching (FMWM) algorithm in which a new scheduling decision is issued once every several cell times. Between scheduling decisions, the configuration of the crossbar switch remains unchanged. We prove that the FMWM algorithm is stable with an internal buffer transfer speedup of 2, thereby significantly relaxing the timing constraints on the scheduling process. Simulation results illustrate the impact of the algorithm on the average cell delay for different traffic scenarios. |
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| AbstractList | It has been shown that maximal size matching algorithms for input-queued switches are stable under any admissible traffic conditions with a scheduling speedup of 2. However, as link speeds increase, the computational complexity of these algorithms limits their applicability in high port-density switches and routers. In this letter we describe a Frame-Based Maximal Weight Matching (FMWM) algorithm in which a new scheduling decision is issued once every several cell times. Between scheduling decisions, the configuration of the crossbar switch remains unchanged. We prove that the FMWM algorithm is stable with an internal buffer transfer speedup of 2, thereby significantly relaxing the timing constraints on the scheduling process. Simulation results illustrate the impact of the algorithm on the average cell delay for different traffic scenarios. |
| Author | Xike Li Elhanany, I. |
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| Copyright | 2005 INIST-CNRS Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2005 |
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| Keywords | Packet switching Lyapunov stability analysis High density Lyapunov method Teletraffic switching architectures Router Scheduling Stability criterion Buffer system Algorithm Computational complexity Packet scheduling algorithms Simulation Queueing system Traffic management Algorithm complexity Traffic control Lyapunov stability Delay time Selector switch Timing |
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| SubjectTerms | Applied sciences Computational complexity Delay Exact sciences and technology Impedance matching Packet switching Processor scheduling Scalability Scheduling algorithm Stability Switches Switching and signalling Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Teletraffic Traffic control |
| Title | Stability of a frame-based maximal weight matching algorithm with transfer speedup |
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