This paper sets forth some mathematical techniques guaranteeing that an optimization problem has a solution. Attention is paid to the interpretation of these conditions within the framework of decision-based engineering design. Dependence of optimal solutions on underlying parameters that describe the model is also analyzed, so that the possibilities for robust optimal engineering designs are examined. Then the number of optional solutions is investigated under additional hypotheses, including some that ensure uniqueness.
|Original language||English (US)|
|Number of pages||21|
|Journal||Journal of Engineering Valuation and Cost Analysis|
|State||Published - Jan 1 2000|