The vehicle routing problem (VRP) determines a delivery route that minimizes the cost. In this study, we consider stochastic VRP with uncertainty and variation in customer demand, which may cause shortage of products during delivery. case, vehicles have to return depot replenish products. We model sum additional cost caused by normal

In this paper, we study the stochastic transportation-inventory network design problem involving one supplier and multiple retailers. Each retailer faces some uncertain demand. Due to this uncertainty, some amount of safety stock must be maintained to achieve suitable service levels. However, risk-pooling benefits may be achieved by allowing some retailers to serve as distribution centers (and ...

We propose a novel algorithmic framework to solve an integrated planning and scheduling problem in supply chain management. This problem involves the integration of an inventory management problem and the vehicle routing problem with time windows, both of which are known to be NP-hard. Under this framework, algorithms that solve the underlying sub-problems collaborate rigorously yet in a comput...

T author considers a model of a decentralized distribution system consisting of n retailers selling an identical product. Retailers face a stochastic demand and must order their initial inventory before this demand is realized. After demand realization, retailers decide how much of their unsold inventory or unsatisfied demand they want to share with other retailers. This is followed by a transs...

in this study, a new stochastic model is proposed to deal with a multi-product, multi-period, multi-stage, multi-site production and transportation supply chain planning problem under demand uncertainty. a two-stage stochastic linear programming approach is used to maximize the expected profit. decisions such as the production amount, the inventory level of finished and semi-finished product, t...

The purpose of this paper is to provide basic models for highly relevant extensions of the classical vehicle routing problem in the context of supply chain management. The classical vehicle routing problem is extended in various ways. We will especially focus on extensions with respect to lotsizing, scheduling, packing, batching, inventory and intermodality. The proposed models allow for a more...

In this paper, a real-life routing and scheduling problem encountered is addressed. The problem, which consists in optimizing the delivery of fluids by tank trucks on a long-term horizon, is a generalization of the vehicle routing problem with vendor managed inventory replenishment. The particularity of this problem is that the vendor monitors the customers’ inventories, deciding when and how m...