Mathematics Applied to Engineering and Management

1

Geometric and Geometric-Like Processes and Their Applications in Warranty Analysis

Richard Arnold, Stefanka Chukova, Yu Hayakawa, and Sarah Marshall

CONTENTS

1.1      Introduction

1.2      GPs and GLPs: An Overview and Applications

1.2.1      Geometric Process

1.2.2      Classification of GLPs

1.2.3      Applications of GLPs

1.3      Applications of GPs in Warranty Analysis

1.3.1      Basics of Warranty Analysis

1.3.2      A Warranty Cost Model for Non-zero Repair Times

1.3.2.1      An Alternating Process (AP) Model

1.3.2.2      Three AP Models

1.3.3      Nonrenewing Free Repair Warranty Cost Analysis

1.3.3.1      Expected Warranty Costs Over the Warranty Period (0,T)

1.3.3.2      Expected Warranty Costs Over the Product Lifecycle (0,L)