bus systems are unstable without considering any control. thus, we are able to consider some control strategies to alleviate this problem. a holding control strategy is one commonly used real-time control strategy that can improve service quality. this paper develops a mathematical model for a holding control strategy. the objective of this model is to minimize the total cost related to passeng...

Bus systems are unstable without considering any control. Thus, we are able to consider some control strategies to alleviate this problem. A holding control strategy is one commonly used real-time control strategy that can improve service quality. This paper develops a mathematical model for a holding control strategy. The objective of this model is to minimize the total cost related to passeng...

Holding has been extensively used as control strategy to regulate public transport operations, especially maintain even headways and prevent buses of the same line bunch up. Applying holding multiple lines requires however deal with transition between corridor branching segments. In this study, we introduce a criterion for network configurations that operate jointly along common then diverge in...

We investigate the growth optimal strategy over a finite time horizon for a stock and bond portfolio in an analytically solvable multiplicative Markovian market model. We show that the optimal strategy consists in holding the amount of capital invested in stocks within an interval around an ideal optimal investment. The size of the holding interval is determined by the intensity of the transact...

How should a vehicle he driven to minimise fuel consumption? In this paper we consider the case where a train is to be driven along a straight, level track, but where speed limits may apply over parts of the track. The journey is to be completed within a specified time using as little fuel as possible. For a journey without speed limits, the optimal driving strategy typically requires full powe...