Graphical abstract Display Omitted

    Highlights We provide a new exact algorithm for the inventory-routing problem with logistic ratio (IRP-LR). The IRP-LR contains a fractional objective function, and is solved iteratively. We prove that our method converges and compare its performance on bench-mark instances from the literature. We significantly improve the results of a competing algorithm.

    Abstract The Inventory Routing Problem with Logistic Ratio (IRPLR) is a variant of the classical IRP where, instead of the total distribution cost, the ratio between the total distribution cost and the total delivered quantity is minimized, giving rise to a fractional objective function. An exact algorithm is known, solving instances with up to 15 customers. We propose an iterative exact algorithm where, at each iteration, an IRP with a linear objective function is solved. Experiments show that the proposed algorithm is faster when the number of vehicles is small, solving instances with more customers and a longer planning horizon.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    An exact algorithm for the inventory routing problem with logistic ratio


    Contributors:


    Publication date :

    2019-09-27


    Size :

    12 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Minimizing the logistic ratio in the inventory routing problem

    Archetti, Claudia / Desaulniers, Guy / Speranza, M. Grazia | Online Contents | 2017


    Inventory Routing Problem

    Yang, Xianfeng / Feng, Lei | Transportation Research Record | 2013



    An Exact Algorithm for the Vehicle Routing Problem with Backhauls

    Toth, P. / Vigo, D. | British Library Online Contents | 1997


    An Exact Algorithm for the Green Vehicle Routing Problem

    Andelmin, Juho / Bartolini, Enrico | British Library Online Contents | 2017