A maritime inventory routing problem: Discrete time formulations and valid inequalities

A maritime inventory routing problem: Discrete time formulations and valid inequalities

4 A single product maritime inventory routing problem in which the production and con5 sumption rates vary over the planning horizon is studied. The problem includes a heteroge6 neous fleet and multiple production and consumption ports with limited storage capacity. 7 Two discrete time formulations are developed. One is a standard formulation and the other 8 is a fixed charge network flow refor...

Discrete time and continuous time formulations for a short sea inventory routing problem

We consider a fuel oil distribution problem where an oil company is responsible for the routing and scheduling of ships between ports such that the demand for various fuel oil products is satisfied during the planning horizon. The production/consumption rates are given and assumed to be constant. We provide two alternative mixed integer formulations: a discrete time model adapted from the case ...

New formulations and valid inequalities for a bilevel pricing problem

We consider the problem of maximizing the revenue raised from tolls set on the links of a multicommodity transportation network. Since an optimal policy must balance toll levels against utilization rates, this problem lends itself naturally to a bilevel formulation, where network users assign themselves to shortest paths with respect to a disutility defined as the sum of travel time and out-of-...

Designing a green location routing inventory problem considering transportation risks and time window: a case study

This study introduces a green location, routing and inventory problem with customer satisfaction, backup distribution centers and risk of routes in the form of a non-linear mixed integer programming model. In this regard, time window is considered to increase the customer satisfaction of the model and transportation risks is taken into account for the reliability of the system. In addition, dif...

Optimization in maritime inventory routing