In this article, the real-time time-dependent vehicle routing problem with time windows is formulated as a series of mixed integer programming models that account for real-time and time-dependent travel times, as well as for real-time demands in a unified framework. In addition to vehicles...

In this article, a discrete non-linear mathematical programming model with a variational inequality constraint is proposed to determine road tolls and time-varying congestion tolls for a freeway electronic toll collection system under a build-operate-transfer arrangement. An interdependent...

This paper evaluates the profit of coordination between manufacturers on corporate social responsibility (CSR) under network equilibrium. A three-tier supply chain network with multiple manufacturers, distributors, and retailers is considered, and several mathematical models are established to...

This paper formulates a discrete-time, link-based dynamic user-optimal route choice problem using the variational inequality approach. The proposed model complies with the dynamic user-optimal equilibrium condition in which for each origin-destination pair, the actual travel time experienced by...

This paper addresses a variation of pickup and delivery problems, named the paired many-to-many pickup and delivery problem (PMPDP), which has never been formally classified in the literature. Given “paired” demands between customer nodes, the PMPDP is to find a set of feasible vehicle...