The optimal stopping problem for a Hunt processes on R is considered via the representation theory of excessive functions. In particular, we focus on in nite horizon (or perpetual) problems with one-sided structure, that is, there exists a point x∗ such that the stopping region is of the form [x∗,+∞). Corresponding results for two-sided problems are also indicated. The main result is a spectral...

A control law is constructed for a linear time varying system by solving a two player zero sum diierential game on a moving horizon, the game being that which is used to construct an H 1 controller on a nite horizon. Conditions are given under which this controller results in a stable system and satisses an innnite horizon H 1 norm bound. A risk sensitive formulation is used to provide a state ...

The fundamental question encountered in acquiring capacity to meet nonstationary demand over a multiperiod horizon is how to balance the trade-off between having insufficient capacity in some periods and excess capacity in others. In the former situation, part of the demand is subcontracted while, in the latter, capacity that has been paid for is rendered idle. Capacity and subcontracting decis...

in this paper, a multi-period and multi-resource operating room (or) scheduling and rescheduling problem with elective and semi-elective (semi-urgent) patients is addressed. a scheduling-rescheduling framework based on the so-called rolling horizon approach is proposed to solve the problem. the core of the proposed framework is a novel proposed mixed-integer linear programming (milp) model with...

Forecast horizons are de ned as long enough planning horizons that ensure agreement of rst period optimal production decisions of nite and in nite horizon problems regardless of changes in future demand. In this paper, we prove forecast horizon existence and provide computational procedures for production planning problems that satisfy the following monotonicity property: for any xed nite plann...

The paper examines within a uni…ed methodology expectational coordination in a series of economic models. The methodology views the predictions associated with the Rational Expectations Hypothesis as reasonable whenever they can be derived from more basic Common Knowledge hypothesis. The paper successively considers a simple non noisy N-dimensional model, standard models with " intrinsic " unce...