In the face of budgetary limitations in organizations, identifying critical facilities for investing in quality improvement plans could be a sensible approach. In this paper, hierarchical facilities with specified covering radius are considered. If disruption happens to a facility, its covering radius will be decreased. For this problem, a bi-objective mathematical formulation is proposed. Crit...

where V (r|r) = 0, v is concave, and > 1 implies loss aversion. Note that this implies that the value function V (x|r) is concave for gains (xi r) and convex for losses (xi < r). Under CPT, the probability weighting function w : [0, 1] ! [0, 1] transforms objective probabilities into decision weights ⇡. The weighting function w is assumed to satisfy the reflection property, assigning the same w...

We shall assume that each problem function has sufficiently many continuous derivatives for any implicit assumptions that we make to hold. One of the most successful tools for solving problems of the form NLP and SIP is the penalty function. A penalty-function approach replaces the relevant problem by a suitably weighted combination of the objective function f(x) and functions representing viol...

Traffic assignment algorithms are used to determine possible use of paths between origin-destination pairs and predict traffic flow in network links. One of the main deficiencies of ordinary traffic assignment methods is that in most of them one measure (mostly travel time) is usually included in objective function and other effective performance measures in traffic assignment are not considere...