Abstract In this article, we consider transport networks with uncertain demands. Network dynamics are given by linear hyperbolic partial differential equations and suitable coupling conditions, while demands incorporated as solutions to stochastic equations. For the demand satisfaction, solve a constrained optimal control problem. Controls in terms of network inputs then calculated explicitly f...

This paper investigates an uncertain bicriteria solid transportation problem. The supplies, demands, conveyance capacities, transportation cost and transportation time are regarded as uncertain variables. According to two types of methods to rank the uncertain variables, expected value goal programming model and chance-constrained goal programming model for the bicriteria solid transportation p...

Uncertainty theory is a mathematical methodology for dealing withnon-determinate phenomena in nature. As we all know, uncertainprocess and uncertain integral are important contents of uncertaintytheory, so it is necessary to have deep research. This paperpresents the definition and discusses some properties of strongcomonotonic uncertain process. Besides, some useful formulas ofuncertain integr...

The uncertain nature of supply chains is one the key challenges managers, and researchers encounter in decision-making. Accordingly, this paper proposes a three-echelon chain which demands are uncertain. proposed has three participants, including supplier, manufacturer, retailer, while decentralized, centralized, coordination models have been formulated to maximize participants’ profits. In dec...

We consider one-way vehicle sharing systems where customers can pick a car at one station and drop it off at another (e.g., Zipcar, Car2Go). We aim to optimize the distribution of cars, and quality of service, by pricing rentals appropriately. However, with highly uncertain demands and other uncertain parameters (e.g., pick-up and drop-off location, time, duration), pricing each individual rent...

In this paper, we study the newsvendor game with supply uncertainty, where multiple retailers form a coalition to cooperate to place orders to minimize the cost and share risk facing uncertain supplies and demands. After the orders are delivered and the demands are realized, the actual arrival quantities are allocated among the retailers to minimize the total cost. We compute the cost functions...

We develop methods to estimate and exactly calculate the expected cost of a priori policies for the multi-compartment vehicle routing problem with stochastic demands, an extension of the classical vehicle routing problem where customer demands are uncertain and products must be transported in separate partitions. We incorporate our estimation procedure into a cyclic-orderbased simulated anneali...

As an energy market transforms from a regulated market to a deregulated one, the demands for a power plant are highly uncertain. In this paper, we study a two-stage robust optimization formulation and provide a tractable solution approach for the problem. The computational experiments show the effectiveness of our approach.