The inventory routing problem presented in this study is a one-to-many distribution network consisting of a manufacturer that produces multi products to be transported to many geographically dispersed customers. We consider a finite horizon where a fleet of capacitated homogeneous vehicles, housed at a depot/warehouse, transports products from the warehouse to meet the demand specified by the c...

This study extends a mathematical model that integrates the location, allocation, inventory replenishment and routing decisions simultaneously. To cope with inherent uncertainty of parameters, we implement a continuous-time Markov process and derive the performance measures of the system. Using the obtained results, the problem is formulated as a mixed integer nonlinear programing model (MINLP)...

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 ...

Despite the importance of the management of inventory in industrial scheduling applications, there has been little research that has addressed reasoning about inventory directly as part of a scheduling problem. In this paper, we represent inventory, inventory storage constraints, and inventory production and consumption in a constraint-directed scheduling framework. Inventory scheduling is then...

Based on the real-world inventory control problem of a capacitated healthcare apparel service centre in Hong Kong which provides tailor-made apparel-making services for the elderly and disabled people, this paper studies a partial backordered continuous review inventory control problem in which the product demand follows a Poisson process with a constant lead time. The system is controlled by a...

The aim of the relay coordination is that protection systems detect and isolate the faulted part as fast and selective as possible. On the other hand, in order to reduce the fault clearing time, distance protection relays are usually equipped with pilot protection schemes. Such schemes can be considered in the distance and directional overcurrent relays (D&DOCRs) coordination to achieve faster ...

In this article, we develop Markov random field models for multivariate lattice data. Specific attention is given to building models that incorporate general forms of the spatial correlations and cross-correlations between variables at different sites. The methodology is applied to the problem of environmental equity. Using a Bayesian hierarchical model that is multivariate in form, we examine ...