We propose a new way to derive tractable robust counterparts of a linear conic optimization problem by using the theory of Beck and Ben-Tal on the duality between the robust (“pessimistic”) primal problem and its “optimistic” dual. First, we obtain a new convex reformulation of the dual...

In this paper we focus on robust linear optimization problems with uncertainty regions defined by ø-divergences (for example, chi-squared, Hellinger, Kullback-Leibler). We show how uncertainty regions based on ø-divergences arise in a natural way as confidence sets if the uncertain parameters...

Motivated by widespread outsourcing practices, this paper studies how a pre-outsourcing client facing uncertain operating costs selects an outsourcing contract between two contract types (the fixed-price contract and the cost-plus contract) proposed by two vendors, who offer contracts only if...