Research Papers: Design Automation

Redundancy Allocation Optimization for Multistate Systems With Failure Interactions Using Semi-Markov Process

[+] Author and Article Information
Jing Wang

University of Michigan—Shanghai Jiao
Tong University Joint Institute,
Shanghai Jiao Tong University,
Shanghai 200240, China

Mian Li

Associate Professor
University of Michigan—Shanghai Jiao
Tong University Joint Institute,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: mianli@sjtu.edu.cn

1Corresponding author.

Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received February 20, 2015; final manuscript received July 31, 2015; published online August 31, 2015. Assoc. Editor: Xiaoping Du.

J. Mech. Des 137(10), 101403 (Aug 31, 2015) (12 pages) Paper No: MD-15-1153; doi: 10.1115/1.4031297 History: Received February 20, 2015; Revised July 31, 2015; Accepted August 08, 2015

Failure interactions and multiple states are two common phenomena in engineering systems. However, most of the redundancy allocation problems assume binary states and ignore failure interactions, which will cause inaccurate and misleading results. Although some research work focuses on the multistate systems, failure interactions have been ignored. This paper, for the first time, solves the redundancy allocation problems considering the systems having both multiple states and failure interactions. The system studied in this paper is a kind of multistate system containing a main subsystem and an auxiliary subsystem with the failure interaction existing from the auxiliary subsystem to the main subsystem. Semi-Markov process is proposed as the model for the system analysis, and a reliability measure, availability, is obtained based on the proposed semi-Markov process models. The system availability is used as the constraint in the redundancy allocation problem. A case study from a navy application is presented to demonstrate the applicability of the proposed method.

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Grahic Jump Location
Fig. 2

(a) State diagram of semi-Markov process model of case I and (b) state diagram of a simple example

Grahic Jump Location
Fig. 1

Example state diagram of a semi-Markov process model

Grahic Jump Location
Fig. 3

State diagram of semi-Markov process model of case II in Sec. 3.2

Grahic Jump Location
Fig. 4

A shipboard power electronic cabinet

Grahic Jump Location
Fig. 5

State diagram of case study, case I (heat exchange subsystems work sequentially)

Grahic Jump Location
Fig. 6

State diagram of case study, case II (heat exchange subsystems work in parallel)



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