# Multiple Objective Decision Making — Methods and Applications

## A State-of-the-Art Survey

Textbook

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 164)

1. Front Matter
Pages N2-XII
2. Ching-Lai Hwang, Abu Syed Md. Masud
Pages 1-11
3. Ching-Lai Hwang, Abu Syed Md. Masud
Pages 12-20
4. Ching-Lai Hwang, Abu Syed Md. Masud
Pages 21-283
5. Ching-Lai Hwang, Abu Syed Md. Masud
Pages 284-302
6. Ching-Lai Hwang, Abu Syed Md. Masud
Pages 303-309
7. Ching-Lai Hwang, Abu Syed Md. Masud
Pages 310-351
8. Back Matter
Pages 355-357

### Introduction

Decision making is the process of selecting a possible course of action from all the available alternatives. In almost all such problems the multiplicity of criteria for judging the alternatives is pervasive. That is, for many such problems, the decision maker (OM) wants to attain more than one objective or goal in selecting the course of action while satisfying the constraints dictated by environment, processes, and resources. Another characteristic of these problems is that the objectives are apparently non­ commensurable. Mathematically, these problems can be represented as: (1. 1 ) subject to: gi(~) ~ 0, ,', . . . ,. ! where ~ is an n dimensional decision variable vector. The problem consists of n decision variables, m constraints and k objectives. Any or all of the functions may be nonlinear. In literature this problem is often referred to as a vector maximum problem (VMP). Traditionally there are two approaches for solving the VMP. One of them is to optimize one of the objectives while appending the other objectives to a constraint set so that the optimal solution would satisfy these objectives at least up to a predetermined level. The problem is given as: Max f. ~) 1 (1. 2) subject to: where at is any acceptable predetermined level for objective t. The other approach is to optimize a super-objective function created by multiplying each 2 objective function with a suitable weight and then by adding them together.

### Keywords

Entscheidung care decision making development econometrics environment health care information planning production planning programming science and technology traffic transport transportation

#### Authors and affiliations

1. 1.Dept. of Industrial EngineeringKansas State UniversityManhattanUSA
2. 2.Dept. of Industrial Engineering and N. M. Solar Energy InstituteNew Mexico State UniversityLas CrucesUSA

### Bibliographic information

• Book Title Multiple Objective Decision Making — Methods and Applications
• Book Subtitle A State-of-the-Art Survey
• Authors C.-L. Hwang
A.S.M. Masud
• Series Title Lecture Notes in Economics and Mathematical Systems
• DOI https://doi.org/10.1007/978-3-642-45511-7
• Copyright Information Springer-Verlag Berlin Heidelberg 1979
• Publisher Name Springer, Berlin, Heidelberg
• eBook Packages
• Softcover ISBN 978-3-540-09111-0
• eBook ISBN 978-3-642-45511-7
• Series ISSN 0075-8442
• Edition Number 1
• Number of Pages XII, 358
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site