Reliability and Maintenance Modeling with Optimization

8The Optimal Design of Consecutive-k Systems

Hisashi Yamamoto

Tokyo Metropolitan University, Japan

Tomoaki Akiba

Chiba Institute of Technology, Japan

Taishin Nakamura

Tokai University, Japan

Lei Zhou

Yamaguchi University, Japan.

CONTENTS

• 8.1 Introduction

• 8.2 Consecutive-k Systems

• 8.3 Reliabilities of Consecutive-k Systems

  • 8.3.1 System Reliability

  • 8.3.2 Approximation Methods for System Reliability

• 8.4 Component Assignment Problem (CAP)

  • 8.4.1 Efficient Algorithm for Obtaining the Optimal Arrangement

  • 8.4.2 Algorithms for Obtaining Pseudo-Optimal Arrangement

• 8.5 Maintenance Problems

  • 8.5.1 Maintenance Problems in Linear Consecutive-k-out-of-n:F System

  • 8.5.2 Maintenance Problems in Linear Consecutive-k-out-of-n:G Systems

• 8.6 Conclusions