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A unified model framework for the multi-attribute consistent periodic vehicle routing problem

Maria Gulnara Baldoquín, Jairo A. Martínez, Jenny Díaz-Ramírez

2020PLoS ONE12 citationsDOIOpen Access PDF

Abstract

Modeling real-life transportation problems usually require the simultaneous incorporation of different variants of the classical vehicle routing problem (VRP). The periodic VRP (PVRP) is a classical extension in which routes are determined for a planning period of several days and each customer has an associated set of allowable visit schedules. This work proposes a unified model framework for PVRP that consists of multiple attributes or variants not previously addressed simultaneously, such as time-windows, time-dependence, and consistency -which guarantees the visits to customer by the same vehicle-, together with three objective functions that respond to the needs of practical problems. The numerical experimentation is focused on the effects of three factors: frequency, depot centrality, and the objective function on the performance of a general-purpose MILP solver, through the analysis of the achieved relative gaps. Results show higher sensitivity to the objective functions and to the problem sizes.

Topics & Concepts

Vehicle routing problemSolverComputer scienceMathematical optimizationSet (abstract data type)Consistency (knowledge bases)Routing (electronic design automation)Extension (predicate logic)Sensitivity (control systems)InterdependenceFunction (biology)MathematicsArtificial intelligenceEngineeringBiologyLawComputer networkElectronic engineeringProgramming languagePolitical scienceEvolutionary biologyVehicle Routing Optimization MethodsTransportation and Mobility InnovationsUrban and Freight Transport Logistics
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