we model a real-world case problem as a price competition model between two leader-follower supply chains that each of them consists of one manufacturer and one retailer. t he manufacturer produces partially differentiated products and sells to market through his retailer. the retailer sells the products of manufacturer to market by adding some values to the product and gains margin as a fracti...

The multi-leader-follower game serves as an important model in game theory with many applications in economics, operations research and other fields. In this survey paper, we first recall some background materials in game theory and optimization. In particular, we present several extensions of Nash equilibrium problems including the multi-leader-follower game. We then give some applications as ...

In this article, we assess the string stability of seven 2018 model year adaptive cruise control (ACC) equipped vehicles that are widely available in US market. Seven distinct vehicle models from two different makes analyzed using data collected more than 1,200 miles driving car-following exper...

An intelligent braking system has great potential applications especially, in developed countries where research on smart vehicle and intelligent highways are receiving ample attention. The system when integrated with other subsystems like automatic traction control, intelligent throttle, and auto cruise systems, etc will result in smart vehicle maneuver. The driver at the end of the day will b...

We model a real-world case problem as a price competition model between two leader-follower supply chains that each of them consists of one manufacturer and one retailer. T he manufacturer produces partially differentiated products and sells to market through his retailer. The retailer sells the products of manufacturer to market by adding some values to the product and gains margin as a fracti...

The leader-follower phenomenon is natural for many mobile objects acting collectively. It is possible to find the leader of such collective motion from trajectory data and use it to understand the motion pattern of the group. This work proposes a technique for detecting leader-follower relationships from trajectories of mobile objects, and represents them as a graph sequence. We apply this meth...

The majority of research on bilevel programming has centered on the linear version of the problem in which only one leader and single follower are involved. This paper proposes a general model and Kuhn-Tucker approach for linear bilevel programming problems in which one leader and multiple follower(s) are involved, and there may (not) be sharing variables among the followers. Finally, a numeric...

In this paper, real-time implementation of multirobot convoying behavior utilizing neuro-fuzzy control is presented. With only nine rules, the follower convoys the leader closely and smoothly by varying its speed and changing its direction. When the leader stops, the follower stops very close to the specified safe distance (within an inch). The follower backs up quickly when the leader moves ba...

This paper presents salient features of humanhuman interaction where one person with limited auditory and visual perception of the environment (a follower) is guided by an agent with full perceptual capabilities (a guider) via a hard rein along a given path. We investigate several salient features of the interaction between the guider and the follower such as a) the order of an autoregressive c...