The production routing problem (PRP) combines the lot-sizing problem and the vehicle routing problem, two classical problems that have been extensively studied for more than half a century. The PRP is solved in an attempt to jointly optimize production, inventory, distribution and routing decisions and is thus a generalization of the inventory routing problem (IRP). Although the PRP has a compl...

I this paper, we present a solution approach for the inventory-routing problem. The inventory-routing problem is a variation of the vehicle-routing problem that arises in situations where a vendor has the ability to make decisions about the timing and sizing of deliveries, as well as the routing, with the restriction that customers are not allowed to run out of product. We develop a two-phase a...

Following the International Maritime Organization (IMO), in order to safeguard realization of Paris Agreement on climate protection, greenhouse gas (GHG) emissions have be reduced by 50% year 2050. This objective shall reached decarbonization maritime traffic, which is why ship operators currently increasingly search for alternative fuels. Moreover, since start Ukrainian war February 2022, this...

In this work we introduce a green inventory routing problem termed the Stochastic Inventory Routing Problem on Electric Roads (S-IRP-ER), in which hybrid vehicle navigates road network with charging opportunities some sections, to cover non-stationary stochastic demand of single product for set retailers network. We model using isochrone graphs represent real an graph nodes are located such tha...

In this paper, we present a new mass-flow based Mixed Integer Linear Programming (MILP) formulation for the Inventory Routing Problem (IRP) with explicit energy consumption. The problem is based on a multiperiod single-vehicle IRP with one depot and several customers. Instead of minimizing the distance or inventory cost, the problem takes energy minimization as an objective. In this formulation...

In this paper, we describe research to improve Frito-Lay’s outbound supply chain activities by simultaneously optimizing its inventory and transportation decisions. Motivated by Frito-Lay’s practice, we first develop a mixed-integer programming formulation from which we develop a large-scale, integrated multiproduct inventory lot-sizing and vehicle-routing model with explicit (1) inventory hold...

Excessive greenhouse gas emissions from the transportation sector have led companies to move towards a sustainable supply chain network design. In this study we present new bi-objective non-linear formulation where multiple inventory components are integrated into location and routing decisions throughout network. To efficiently solve proposed model, implement an exact method four evolutionary ...