Bilevel scheduling problems constitute a hardly studied area of scheduling theory. In this paper we summarise the basic concepts of bilevel optimisation, and discuss two problem classes for which we establish various complexity and algorithmic results. The first one is the bilevel total weighted completion time problem in which the leader assigns the jobs to parallel machines and the follower s...

In the competitive p-median problem, two decision makers, the leader and the follower, compete to attract clients from a given market. The leader opens his facilities, anticipating that the follower will react to the decision by opening his/her own facilities. The leader and the follower try to maximize their own profits. This is the Stackelberg game. We present it as a linear bilevel 0–1 probl...

Tandem running in ants is a form of recruitment in which a single well-informed worker guides a naive nestmate to a goal [1-8]. The ant Temnothorax albipennis recently satisfied a strict set of predefined criteria for teaching in nonhuman animals [9, 10]. These criteria do not include evaluation as a prerequisite for teaching [10]. However, some authors claim that true teaching is always evalua...

Bayesian Stackelberg games have been used to compute optimal patrol strategies for the security of the Los Angeles International Airport (LAX) by modelling the security situation as a 1-leader, 1-follower, Bayesian game where there is one leader type and an arbitrary number of follower types. A previous approach, named DOBSS, computes the Stackelberg solution for this game by solving a Mixed In...

Abstract We investigate how a leader's perception of follower's behaviours may impact the which in turn relate to rating LMX quality. Multilevel multisource data were collected from 315 leader–member dyads 27 military teams. At dyadic level, follower was related assessment behaviours, turn, positively leader rated their Finally, leaders' emotional reappraisal moderated link between and research...

this paper studies the consensus problem of nonlinear leader-following multi-agent systems (mas). to do this, the error dynamics between the leader agent and follower ones are described via a takagi-sugeno (ts) fuzzy model. if the obtained ts fuzzy model is stable, then all of the nonlinear agents reach consensus. the consensus problem is investigated based on the parameterized or fuzzy lyapuno...

This paper addresses the problem of on-board estimation of the state and/or the velocity components of an unknown leader by open-loop control of a single camera installed on the follower aircraft. Unlike the conventional pan-tilt gimbal, a custom-built gimbal is assumed that permits translational movement of the camera. The only information about the unknown leader is deduced from its bearing a...