An Investigation into Goal Programming Sensitivity, Duality and Application

Abstract

This thesis looks first at the sensitivities of Weighted and Extended Goal Programmes to changes in their parameters. It develops new, formal definitions of sensitivity and demonstrates that such sensitivities can differ markedly between different mathematical models. Conclusions are drawn about the relationship between sensitivity and some of a model’s dimensions.

The thesis then derives the duals of a key sequence of Goal Programmes; shows how they are related; and discusses the practical significance of the results.

Finally, the thesis develops an Extended Goal Programme to locate Search and Rescue facilities that, for the first time, is applicable in a large maritime area involving international boundaries. It applies this model to the area covered by the Arctic Ocean and shows how the model can be used in a va- riety of scenarios. It compares the model’s parameter sensitivities with the predictions from the earlier chapters.

Date of Award	24 Jun 2024
Original language	English
Awarding Institution	University of Portsmouth
Supervisor	Dylan Jones (Supervisor), Li Z (Supervisor) & Banu Lokman (Supervisor)