### Abstract

As the size and complexity of a multiprocessor system increases, reliability evaluation becomes an important issue. The performability of a multiprocessor system heavily depends on the application program and the underlying architecture. In multitasking multiprocessor system, the problem of dynamically assigning a given dimensional subsystem to a special task is considered as a reallocation in the presence of node and/or link failures. This paper takes the generalization of star graph, (n, k)-star graph, as an empirical object. In order to measure the reliability of (n, k)star graph, the analytical model introduces mean time to failure (MTTF) to show the time that the appearance of a certain number of faulty S
_{n}
−1 ,k−
_{1}
costs. The higher the MTTF, the better the robustness. So, the way to evaluate the robustness of an (n, k)-star is to count how much the MTTF is. In fact, an (n, k)-star can be partitioned along any dimension (except the first one) with corresponding identification code. So, we will explore the reliability of (n, k)-star graph when it is partitioned along any dimension (except the first one) under node and/or link fault model. Comparisons among the simulation results under two partitioning models reveal that the MTTF is higher under liberal partition model, which better reflect the steady state of an interconnection network that can persist when the network is destroyed.

Original language | English |
---|---|

Pages (from-to) | 1025-1035 |

Number of pages | 11 |

Journal | IEEE Transactions on Reliability |

Volume | 66 |

Issue number | 4 |

DOIs | |

State | Published - 1 Dec 2017 |

### Fingerprint

### Keywords

- (n,k)-star
- Mean time to failure (MTTF)
- Node (link) failure
- Reliability
- Robustness

### Cite this

*IEEE Transactions on Reliability*,

*66*(4), 1025-1035. https://doi.org/10.1109/TR.2017.2740339

}

*IEEE Transactions on Reliability*, vol. 66, no. 4, pp. 1025-1035. https://doi.org/10.1109/TR.2017.2740339

**Reliability assessment of multiprocessor system based on (n, k)-star network.** / Zhou, Shuming; Li, Xiaowang; Li, Jinqiang; Wang, Dajin.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Reliability assessment of multiprocessor system based on (n, k)-star network

AU - Zhou, Shuming

AU - Li, Xiaowang

AU - Li, Jinqiang

AU - Wang, Dajin

PY - 2017/12/1

Y1 - 2017/12/1

N2 - As the size and complexity of a multiprocessor system increases, reliability evaluation becomes an important issue. The performability of a multiprocessor system heavily depends on the application program and the underlying architecture. In multitasking multiprocessor system, the problem of dynamically assigning a given dimensional subsystem to a special task is considered as a reallocation in the presence of node and/or link failures. This paper takes the generalization of star graph, (n, k)-star graph, as an empirical object. In order to measure the reliability of (n, k)star graph, the analytical model introduces mean time to failure (MTTF) to show the time that the appearance of a certain number of faulty S n −1 ,k− 1 costs. The higher the MTTF, the better the robustness. So, the way to evaluate the robustness of an (n, k)-star is to count how much the MTTF is. In fact, an (n, k)-star can be partitioned along any dimension (except the first one) with corresponding identification code. So, we will explore the reliability of (n, k)-star graph when it is partitioned along any dimension (except the first one) under node and/or link fault model. Comparisons among the simulation results under two partitioning models reveal that the MTTF is higher under liberal partition model, which better reflect the steady state of an interconnection network that can persist when the network is destroyed.

AB - As the size and complexity of a multiprocessor system increases, reliability evaluation becomes an important issue. The performability of a multiprocessor system heavily depends on the application program and the underlying architecture. In multitasking multiprocessor system, the problem of dynamically assigning a given dimensional subsystem to a special task is considered as a reallocation in the presence of node and/or link failures. This paper takes the generalization of star graph, (n, k)-star graph, as an empirical object. In order to measure the reliability of (n, k)star graph, the analytical model introduces mean time to failure (MTTF) to show the time that the appearance of a certain number of faulty S n −1 ,k− 1 costs. The higher the MTTF, the better the robustness. So, the way to evaluate the robustness of an (n, k)-star is to count how much the MTTF is. In fact, an (n, k)-star can be partitioned along any dimension (except the first one) with corresponding identification code. So, we will explore the reliability of (n, k)-star graph when it is partitioned along any dimension (except the first one) under node and/or link fault model. Comparisons among the simulation results under two partitioning models reveal that the MTTF is higher under liberal partition model, which better reflect the steady state of an interconnection network that can persist when the network is destroyed.

KW - (n,k)-star

KW - Mean time to failure (MTTF)

KW - Node (link) failure

KW - Reliability

KW - Robustness

UR - http://www.scopus.com/inward/record.url?scp=85052756869&partnerID=8YFLogxK

U2 - 10.1109/TR.2017.2740339

DO - 10.1109/TR.2017.2740339

M3 - Article

VL - 66

SP - 1025

EP - 1035

JO - IEEE Transactions on Reliability

JF - IEEE Transactions on Reliability

SN - 0018-9529

IS - 4

ER -