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Random Network Coding Based Schemes for Perfect Wireless Packet Retransmission Problems in Multiple Channel Networks

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Abstract

Solving WPRTPs (wireless packet retransmission problems) using NC (network coding) is increasingly attracting research efforts. However, no work on NC based schemes for WPRTPs in MCNs (multiple channel networks) has been found. In this paper, RNC (random network coding) based schemes for P-WPRTPs (perfect WPRTPs) in MCNs, denoted as MC-P-WPRTPs (multiple channel perfect WPRTPs), are studied by transforming MC-P-WPRTPs into ILP (integer linear programming) problems. The ILP problems corresponding to MC-P-WPRTPs with four typical configurations are derived. Then the corresponding packet retransmission schedule schemes for MC-P-WPRTPs are proposed based on the solutions to the ILP problems and random network coding. To solve the ILP problems efficiently, an algorithm named as progressively fixing algorithm is proposed which recursively reduce the size of the ILP problem by fixing some of the variables according to some criteria. The criteria are related to the solution to the LP problem obtained by relaxing the integral constraints on the variables in the original ILP problem. Simulation results show that the NC based schemes for MC-P-WPRTPs are effective in saving packet retransmissions. In some situations, NC based schemes can save about 50 % packet retransmissions.

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Abbreviations

ILP :

Integer linear programming

IP-WPRTP :

Imperfect WPRTP

IP-WPRTP-DC :

Divide and conquer based scheme for IP-WPRTP

LP :

Linear programming

MCNC :

Multiple-channel with network coding

MCNoNC :

Multiple-channel no network coding

MC-P-WPRTP :

Perfect MC-WPRTP

MC-WPRTP :

Multiple channel wireless packet retransmission problem

NC :

Network coding

P-WPRTP :

Perfect WPRTP

RNCOPT :

Random network coding based optimal scheme for P-WPRTP

SCNC :

Single-channel with network coding

SCNoNC :

Single-channel no network coding

WPRTP :

Wireless packet retransmission problem

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Authors and Affiliations

  1. College of Automation, Harbin Engineering University, Harbin, China

    Zhenguo Gao

  2. Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA

    Zhenguo Gao & Klara Nahrstedt

  3. Department of Electrical and Computer Engineering, University of Michigan, Dearborn, MI, 48141, USA

    Zhenguo Gao & Weidong Xiang

  4. College of Computer Science and Technology, Harbin Engineering University, Harbin, China

    Huiqiang Wang

  5. College of Information and Communications Engineering, Harbin Engineering University, Harbin, China

    Yibing Li

Authors
  1. Zhenguo Gao
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  2. Klara Nahrstedt
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  3. Weidong Xiang
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  4. Huiqiang Wang
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  5. Yibing Li
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Correspondence to Zhenguo Gao.

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Gao, Z., Nahrstedt, K., Xiang, W. et al. Random Network Coding Based Schemes for Perfect Wireless Packet Retransmission Problems in Multiple Channel Networks. Wireless Pers Commun 69, 1517–1534 (2013). https://doi.org/10.1007/s11277-012-0648-9

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