SEMICONDUCTOR INTEGRATED CIRCUITS

Delay-area trade-off for MPRM circuits based on hybrid discrete particle swarm optimization

Zhidi Jiang, Zhenhai Wang and Pengjun Wang

+ Author Affiliations

 Corresponding author: Wang Pengjun, Email:wangpengjun@nbu.edu.cn

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Abstract: Polarity optimization for mixed polarity Reed-Muller (MPRM) circuits is a combinatorial issue. Based on the study on discrete particle swarm optimization (DPSO) and mixed polarity, the corresponding relation between particle and mixed polarity is established, and the delay-area trade-off of large-scale MPRM circuits is proposed. Firstly, mutation operation and elitist strategy in genetic algorithm are incorporated into DPSO to further develop a hybrid DPSO (HDPSO). Then the best polarity for delay and area trade-off is searched for large-scale MPRM circuits by combining the HDPSO and a delay estimation model. Finally, the proposed algorithm is testified by MCNC Benchmarks. Experimental results show that HDPSO achieves a better convergence than DPSO in terms of search capability for large-scale MPRM circuits.

Key words: hybrid discrete particle swarm optimizationMPRM circuitsdelay-areatrade-off



[1]
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[2]
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[4]
Zhang Huihong, Wang Pengjun, Gu Xingsheng. Area optimization of fixed-polarity Reed-Muller circuits based on niche genetic algorithm. Chinese Journal of Electronics, 2011, 20(1):27 doi: 10.1007%2FBF01271287.pdf
[5]
Liao C J, Tseng C T, Luarn P. A discrete version of particle swarm optimization for flowshop scheduling problems. Computers and Operations Research, 2007, 34(10):3099 doi: 10.1016/j.cor.2005.11.017
[6]
Sandesh S, Shankar K. Application of a hybrid of particle swarm and genetic algorithm for structural damage detection. Inverse Problems in Science and Engineering, 2010, 18(7):997 doi: 10.1080/17415977.2010.500381
[7]
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[8]
Wang Pengjun, Li Hui. Low power mapping for AND/XOR circuits and its application in searching the best mixed-polarity. Journal of Semiconductors, 2011, 32(2):025007 doi: 10.1088/1674-4926/32/2/025007
[9]
Cortadella J. Timing-driven logic bi-decomposition. IEEE Trans Computer-Aided Design of Integrated Circuits and Systems, 2003, 22(6):675 doi: 10.1109/TCAD.2003.811447
[10]
Hrynkiewicz E, Koldzińki S. An Ashenhurst disjoint and non-disjoint decomposition of logic functions in Reed-Muller spectral domain. Proceedings of Mixed Design of Integrated Circuits and Systems, Wroclaw, 2010:200 https://projecteuclid.org/euclid.jam/1439816408
[11]
Pourjafari E, Mojallali H. Predictive control for voltage collapse avoidance using a modified discrete multi-valued PSO algorithm. ISA Transactions, 2011, 50(2):195 doi: 10.1016/j.isatra.2010.12.006
[12]
Kuo R J, Han Y S. A hybrid of genetic algorithm and particle swarm optimization for solving bi-level linear programming problem——a case study on supply chain model. Applied Mathematical Modelling, 2011, 35(8):3905 doi: 10.1016/j.apm.2011.02.008
Fig. 1.  Diagram of delay-area trade-off for MRPM circuits.

Fig. 2.  Statistic delay value versus generations.

Fig. 3.  Statistic area value versus generations.

Table 1.   Comparison of results gained from DPSO and HDPSO.

[1]
Habib M K. A new approach to generate fixed-polarity Reed-Muller expansions for completely and incompletely specified functions. International Journal of Electronics, 2002, 89(11):845 doi: 10.1080/0020721031000093129
[2]
Younes A, Miller J F. Representation of Boolean quantum circuits as reed-Muller expansions. 2004, 91(7): 431
[3]
Al Jassani B A, Urquhart N, Almaini A E A. Manipulation and optimisation techniques for Boolean logic. IET Computers and Digital Techniques, 2010, 4(3):227 doi: 10.1049/iet-cdt.2009.0007
[4]
Zhang Huihong, Wang Pengjun, Gu Xingsheng. Area optimization of fixed-polarity Reed-Muller circuits based on niche genetic algorithm. Chinese Journal of Electronics, 2011, 20(1):27 doi: 10.1007%2FBF01271287.pdf
[5]
Liao C J, Tseng C T, Luarn P. A discrete version of particle swarm optimization for flowshop scheduling problems. Computers and Operations Research, 2007, 34(10):3099 doi: 10.1016/j.cor.2005.11.017
[6]
Sandesh S, Shankar K. Application of a hybrid of particle swarm and genetic algorithm for structural damage detection. Inverse Problems in Science and Engineering, 2010, 18(7):997 doi: 10.1080/17415977.2010.500381
[7]
Chen W N, Zhang J, Chung H S H, et al. A novel set-based particle swarm optimization method for discrete optimization problems. IEEE Trans Evolutionary Computation, 2010, 14(2):278 doi: 10.1109/TEVC.2009.2030331
[8]
Wang Pengjun, Li Hui. Low power mapping for AND/XOR circuits and its application in searching the best mixed-polarity. Journal of Semiconductors, 2011, 32(2):025007 doi: 10.1088/1674-4926/32/2/025007
[9]
Cortadella J. Timing-driven logic bi-decomposition. IEEE Trans Computer-Aided Design of Integrated Circuits and Systems, 2003, 22(6):675 doi: 10.1109/TCAD.2003.811447
[10]
Hrynkiewicz E, Koldzińki S. An Ashenhurst disjoint and non-disjoint decomposition of logic functions in Reed-Muller spectral domain. Proceedings of Mixed Design of Integrated Circuits and Systems, Wroclaw, 2010:200 https://projecteuclid.org/euclid.jam/1439816408
[11]
Pourjafari E, Mojallali H. Predictive control for voltage collapse avoidance using a modified discrete multi-valued PSO algorithm. ISA Transactions, 2011, 50(2):195 doi: 10.1016/j.isatra.2010.12.006
[12]
Kuo R J, Han Y S. A hybrid of genetic algorithm and particle swarm optimization for solving bi-level linear programming problem——a case study on supply chain model. Applied Mathematical Modelling, 2011, 35(8):3905 doi: 10.1016/j.apm.2011.02.008
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    Received: 07 December 2012 Revised: 27 February 2013 Online: Published: 01 June 2013

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      Zhidi Jiang, Zhenhai Wang, Pengjun Wang. Delay-area trade-off for MPRM circuits based on hybrid discrete particle swarm optimization[J]. Journal of Semiconductors, 2013, 34(6): 065007. doi: 10.1088/1674-4926/34/6/065007 Z D Jiang, Z H Wang, P J Wang. Delay-area trade-off for MPRM circuits based on hybrid discrete particle swarm optimization[J]. J. Semicond., 2013, 34(6): 065007. doi: 10.1088/1674-4926/34/6/065007.Export: BibTex EndNote
      Citation:
      Zhidi Jiang, Zhenhai Wang, Pengjun Wang. Delay-area trade-off for MPRM circuits based on hybrid discrete particle swarm optimization[J]. Journal of Semiconductors, 2013, 34(6): 065007. doi: 10.1088/1674-4926/34/6/065007

      Z D Jiang, Z H Wang, P J Wang. Delay-area trade-off for MPRM circuits based on hybrid discrete particle swarm optimization[J]. J. Semicond., 2013, 34(6): 065007. doi: 10.1088/1674-4926/34/6/065007.
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      Delay-area trade-off for MPRM circuits based on hybrid discrete particle swarm optimization

      doi: 10.1088/1674-4926/34/6/065007
      Funds:

      the National Natural Science Foundation of China 61076032

      the Ningbo Natural Science Fund, China 2010A610175

      the Natural Science Foundation of Zhejiang Province, China Nos. LY12D06002

      the K. C. Wong Magna Fund in Ningbo University, China. 

      the Natural Science Foundation of Zhejiang Province, China Nos. LY13F040003

      Project supported by the National Natural Science Foundation of China (No. 61076032), the Natural Science Foundation of Zhejiang Province, China (Nos. Z1111219, LY13F040003, LY12D06002), the Ningbo Natural Science Fund, China (No. 2010A610175), and the K. C. Wong Magna Fund in Ningbo University, China

      the Natural Science Foundation of Zhejiang Province, China Nos. Z1111219

      More Information
      • Corresponding author: Wang Pengjun, Email:wangpengjun@nbu.edu.cn
      • Received Date: 2012-12-07
      • Revised Date: 2013-02-27
      • Published Date: 2013-06-01

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