Weber, Thomas A.2017-03-272017-03-272017-03-27201710.1007/s10957-016-1006-yhttps://infoscience.epfl.ch/handle/20.500.14299/135910WOS:000394266600017This paper provides expressions for solutions of a one-dimensional global optimization problem using an adjoint variable which represents the available one-sided improvements up to the interval "horizon." Interpreting the problem in terms of optimal stopping or optimal starting, the solution characterization yields two-point boundary problems as in dynamic optimization. Results also include a procedure for computing the adjoint variable, as well as necessary and sufficient global optimality conditions.Dynamic systemsGlobal optimality conditionsOptimal stoppingGlobal Optimization on an Intervaltext::journal::journal article::research article