A systematic understanding of traffic dynamics on road networks is crucial for many transportation studies and can help to develop more efficient ramp metering, evacuation, signal control, and other management and control strategies. In this study, we present a theory of multi-commodity network traffic flow based on the Lighthill–Whitham–Richards (LWR) model. In particular, we attempt to analyz...

Directed Acyclic Graphs (DAG's) and Error Correction Models (ECM's) are employed to analyze questions of price discovery between spatially separated commodity markets and the transportation market linking them together. Results from our analysis suggest these markets are highly interconnected but it is the inland commodity market that is strongly influenced by both the transportation and commod...

We study a cement transportation problem with asset-management (equipment selection) for strategic planning scenarios involving multiple forms of transportation and network expansion. A deterministic mixed integer programming approach is difficult due to the underlying capacitated multi-commodity network flow model and the need to consider a time-space network to ensure operational feasibility....

Markovian network equilibrium generalizes the classical Wardrop in games. At a equilibrium, each player of game solves Markov decision process instead shortest path problem. We propose two novel extensions by considering (1) variable demand, which offers players quitting option, and (2) multi-commodity flow, allows to have heterogeneous ending time. further develop dynamic-programming-based ite...

this paper is focused on the tactical design of steel supply chain (ssc). a general mathematical model is proposed to integrate production and transportation planning in multi-commodity ssc. the main purpose is to prepare a countrywide production and distribution plan in an ssc with three layers consisting of iron ore mines as suppliers, steel companies as producers, and subsidiary steel compan...