Multicriterion geometric programming | |
| Author | Prasarn Trairatvorakul |
| Call Number | AIT Thesis no. 892 |
| Subject(s) | Programming (Mathematics) Mathematical optimization |
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering of the Asian Institute of Technology, Bangkok, Thailand. |
| Publisher | Asian Institute of Technology |
| Abstract | In decision analysis, multiple conflicting goals are very often encountered. This study is an attempt to optimize these multiple goals by taking geometric programming as framework. Emphasis is carried on finding the properly efficient solution of the vector valued criteria (VVC) . Two approaches--the closed loop control method and tradeoff model by means of regression analysis-- are developed. An existing algorithm employing the game theory concept is extended for use with the vector-valued criteria of geometric programming. Comparison is made among the two developed approaches and the game-theory-based algorithm. The two approaches appear to give better results. However, the tradeoff model seems to be more favorable for it gives the total picture of the VVC. In this study, percentage of relaxation is used as indicator to show the behavior of the VVC. Thus, the decision maker can select the percentage of relaxation depending on the nature of the problem. Two examples of application are subsequently illustrated at the end. They are (l)design on transformer core size and (2) finding the efficient situation of a nonlinear assignment problem. |
| Year | 1976 |
| Type | Thesis |
| School | Student Research Before 1980 |
| Department | Other Field of Studies (No Department) |
| Academic Program/FoS | Thesis (Year <=1979) |
| Chairperson(s) | Pakorn Adulbhan |
| Examination Committee(s) | Sharif, M. N. ;Techapun Raengkhum |
| Scholarship Donor(s) | The Government of the Federal Republic of Germany |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1976 |