RT Journal Article
SR 00
ID 10.1080/17442508308833276
A1 Rockafellar, R.T.
A1 Wets, R.
T1 Deterministic and stochastic optimization problems of bolza type in discrete time
JF Stochastics
YR 1983
FD 1983
VO 10
IS 3-4
SP 273
OP 312
AB In this paper we consider deterministic and stochastic versions of discrete time analogs of optimization problems of the Bolza type. The functionals are assumed to be convex, but we make no differentiability assumptions and allow for the explicit or implicit presence of constraints both on the state xt and the increments△x t. The deterministic theory serves to set the stage for the stochastic problem. We obtain optimality conditions that are always sufficient and which are also necessary if the given problem satisfies a strict feasibility condition and, in the stochastic case, a bounded recourse condition. This is a new condition that bypasses the uniform boundedness restrictions encountered in earlier work on related problems.
PB Taylor & Francis
SN 0090-9491
LK https://pure.iiasa.ac.at/id/eprint/13950/