This paper formulates a stochastic inventory model for a single-period seasonal or fashion product inventory system consisting of multiple stocking echelons in series and retailers. By transforming model, an equivalent two-stage stochastic linear program model is developed to solve this stochastic inventory problem, which makes the inventory problem easier to analyze. The optimal placement poli...

This paper introduces the Inventory-Routing Problem with Transshipment (IRPT). This problem arises when vehicle routing and inventory decisions must be made simultaneously, which is typically the case in vendor-managed inventory systems. Heuristics and exact algorithms have already been proposed for the Inventory-Routing Problem (IRP), but these algorithms ignore the possibility of performing t...

Solving the Inventory Location-Routing Problem can been seen as an approach to optimize both a supply chain design and its operations costs. Assumptions consider that vehicles might visit more than one retailer per route and that inventory management decisions are included for a multi-depot, multi-retailer system with storage capacity over a discrete time planning horizon. The problem is to det...

This paper considers an integrated routing and scheduling problem where the part takes into account costs tardiness penalties is modelled by a permutation flow shop with inventory costs. We assume that each batch served dedicated vehicle, number of batches their compositions (the jobs parameters those jobs) are known in advance. The to determine starting times on machine shop, departure dates d...

A stochastic inventory routing problem (SIRP) is typically the combination of stochastic inventory control problems and NP-hard vehicle routing problems, which determines delivery volumes to the customers that the depot serves in each period, and vehicle routes to deliver the volumes. This paper aims to solve a large scale multi-period SIRP with split delivery (SIRPSD) where a customer’s delive...

This paper presents a solution method based on column generation for the Inventory Location Routing Problem. It chooses simultaneously the location of a set of depots to decide upon the inventory management and the set of routes to satisfy customers’ demands, in order to minimize the total system cost. The original problem is decomposed into a Master Problem (Location Problem) and an Auxiliary ...

In this paper we present a model and solution procedures of the Inventory Routing Problem (IRP) encountered in vending machine supply chains working under vendor-managed inventory (VMI) scheme. The new IRP model is built based on the existing Periodic Vehicle Routing Problem with Time-windows (PVRPTW). The model will be referred to as the Integrated Inventory and Periodic Vehicle Routing Proble...

Real-time delivery of products in the context of stochastic demands and multiple vehicles is a difficult problem, as it requires the joint investigation of the problems in inventory control and vehicle routing. We model this problem in the framework of Average-reward Reinforcement Learning (ARL) and present experimental results on a modelbased ARL algorithm called H-Learning with piecewise line...

The purpose of this paper is to determine the route of the vehicle routing problem with backhauls (VRPB), delivering new items and picking up the reused items or wastes, and resolve the inventory control decision problem simultaneously since the regular VRPB does not. Both the vehicle routing decision for delivery and pickup, and the inventory control decision affect each other and must be cons...

In this paper, it was an attempt to be present a practical perishability inventory model. The proposed model adds using spoilage of products and variable prices within a time period to a recently published location-inventory-routing model in order to make it more realistic. Aforementioned model by integration of strategic, tactical and operational level decisions produces better results for sup...