Operations Research

Methods, Techniques, and Advancements

Amit Kumar, Mangey Ram

• Publisher: CRC Press
• Year: 2022
• ISBN:
  9781000566192
• Edition: 1
• Topic: Mathematics
• Subtopic: Mathematics General
• Index: Mathematics

This era of science and engineering has attracted researchers tasked with evaluating performance and optimization of problems in the field of operations research. The book covers mathematical analysis, methods and applications involving processes such as system performance, optimization, inventory theory, reliability theory, and queueing theory.

Operations Research: Methods, Techniques, and Advancements explores recent and innovative methods and advancements associated with the mathematical theory of operations research. It offers a detailed overview of mathematical modelling for general industrial systems and emphasizes the latest ideas for the benefit of society and the research community.

Intended for a broad range of readers, this book is useful to academicians, industrialists, researchers, students, academia and specialists from various disciplines and those working in the industry.

1A Novel Approach for UGF Implementation through Excel Software for Behavior Analysis of a Multi-State System

Amit Kumar

Department of Mathematics, Symbiosis Institute of Technology, Symbiosis International University, Pune, India

Pardeep Kumar

Department of Mathematics, Faculty of Science, Lovely Professional University, Phagwara, Punjab, India

DOI: 10.1201/9781003156291-1

CONTENTS

• 1.1Introduction
• 1.2Associated Literature
• 1.3Notations
• 1.4UGF and Various Composite Operators
• 1.5Multistate System Performance Indicators
  • 1.5.1Availability of the System
  • 1.5.2Mean Output Performance
  • 1.5.3Mean Output Performance Deficiency
• 1.6Implementation of UGF Technique on the Excel Software
• 1.7Result and Discussion
• 1.8Future Scope
• Conflict of Interest
• References

1.1INTRODUCTION

With the advent of computer technology, these days many good softwares are available in the market like MATLAB, MAPLE, etc., which can perform the computation very quickly and precisely. These softwares are capable of performing very complex calculations in very little time. But for using these softwares, one must have to have sound knowledge of the commands of these softwares and the computer programming. It is not everyone’s cup of tea to learn computer programming. Hence, it is a great hurdle for new researchers or for those people who are not computer savvy. These people spend a great amount of time in learning these softwares to be able to get research-related results. Therefore, this is the need of the hour to have an easy way of implementing the technique on the other software, which gives the same results with great ease. It helps the researcher to spend more time learning other research-related activities. Here, in this chapter, authors suggest a new approach to implement the UGF technique on Excel software which gives the same result which one can obtain with the help of algebraic multiplication of the UGF polynomials of the system’s component.

In every industry, many machines are installed to produce products. Some industrial systems are very complex and have thousands of components. These components work with varying degree of performance levels and have multiple failure modes, which affect the system performance level. The system which works with a varying level of performance is called a multistate system (MSS). In an MSS, the system and its components both have different performance levels. Many engineering systems like power systems, flow transmission systems and data transmission systems work with varying degrees of performance levels. For example, in...

Table of contents

• Cover Page
• Half Title Page
• Series Page
• Title Page
• Copyright Page
• Contents
• Preface
• Acknowledgments
• Editors
• List of Contributors
• Chapter 1 A Novel Approach for UGF Implementation through Excel Software for Behavior Analysis of a Multi-State System
• Chapter 2 On the Optimization of the Cost Rate of Coherent Reliability Structures under Replacement Policy
• Chapter 3 The Disjoint Minimal Paths Reliability Problem
• Chapter 4 Optimization of an Innovation Diffusion Model of a High-Valued Product with Delay of Adoption for Low-Income Group
• Chapter 5 TODIM-Based Multi-Criteria Decision-Making Approach for Selecting Inventory Policy
• Chapter 6 Performability and Sensitivity of a System Equipped with k-Out-of-n Redundancy
• Chapter 7 Minimizing the Discounted Cash Flow of Weighted Delay Penalty Costs in Resource-Constrained Project Scheduling Problems Using Three Metaheuristic Algorithms
• Chapter 8 Profit Maximization Inventory Control Model with Partial Backlogging and Deterioration on Time-Dependent Demand
• Chapter 9 On Joint Importance Measures for Multistate System’s Reliability
• Chapter 10 Reliability Approach for Enhancing System’s Performance
• Index