An integrated model considers all parameters and elements of different deficiencies in one problem. This paper presents a new integrated model of a supply chain that simultaneously considers facility location, vehicle routing and inventory control problems as well as their interactions in one problem, called location-routing-inventory (LRI) problem. This model also considers stochastic demands ...

stochastic approach to vehicle routing problem: development and theories abstract in this article, a chance constrained (ccp) formulation of the vehicle routing problem (vrp) is proposed. the reality is that once we convert some special form of probabilistic constraint into their equivalent deterministic form then a nonlinear constraint generates. knowing that reliable computer software for lar...

• A Multi-Vehicle Cyclic Inventory Routing Problem (MV-CIRP) is studied. MV-CIRP the extension of Single-Vehicle CIRP (SV-CIRP). mixed integer nonlinear programming model formulated. Simulated Annealing algorithm proposed to solve both SV-CIRP and MV-CIRP. This paper presents a new variant which aims determine subset customers be visited, appropriate number vehicles used, corresponding cycle ti...

In order to be competitive companies need to take advantage of synergetic interactions between different decision areas. Two of these are related to the distribution and inventory management processes. Inventory-Routing Problems (IRPs) arise when inventory and routing decisions must be taken simultaneously, which yields a difficult combinatorial optimization problem. In this paper, we propose a...

Logistic activities, from a certain point of view, are often structured around two concepts, the transportation of goods and the management of the same goods. Of course, these two activities are highly interlinked. It is possible to combine at the same time the problem of defining the amount of goods that have to be shipped (the Inventory Management problem – the quantity decision) and the rout...

The inventory routing problem (IRP) is an integration of vehicle and management problems. In the recent years, it has increasingly drawn attention researchers because its potentially significant practical value. IRP classified as NP-hard since subsumes (VRP). This fact led to development many heuristic or metaheuristic approaches, although a small number exact methods have been introduced recen...