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Periodic capacitated arc-routing problem with inventory constraints

Author

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  • Juan-Pablo Riquelme-Rodríguez

    (1] Département de Mathématiques et de Génie Industriel, École Politechnique de Montréal, Montréal, Canada[2] Research Group in Decision Analysis (GERAD), Montréal, Canada)

  • Michel Gamache

    (1] Département de Mathématiques et de Génie Industriel, École Politechnique de Montréal, Montréal, Canada[2] Département de Mathématiques et de Génie Industriel, École Politechnique de Montréal, Montréal, Canada)

  • André Langevin

    (1] Département de Mathématiques et de Génie Industriel, École Politechnique de Montréal, Montréal, Canada[2] Research Group in Decision Analysis (GERAD), Montréal, Canada)

Abstract

The purpose of this paper is to study the periodic arc-routing problem when the arcs of a network behave as customers, and sufficient material is delivered so that each achieves its desired inventory level. Therefore, routing and inventory decisions are made simultaneously. Applications include dust suppression in open-pit mines or forest roads and plant watering along sidewalks or street medians. A truck periodically sprays water along the edges of a network. The humidity reaches a desired level and is then consumed over time until water is delivered again. The quantity of water delivered can be fixed or variable; we consider both scenarios and propose a mathematical model for each. Results are reported to validate the model. The contribution of this paper is the first mathematical model that combines inventory and routing decisions in the arc-routing domain.

Suggested Citation

  • Juan-Pablo Riquelme-Rodríguez & Michel Gamache & André Langevin, 2014. "Periodic capacitated arc-routing problem with inventory constraints," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(12), pages 1840-1852, December.
    • Handle: RePEc:pal:jorsoc:v:65:y:2014:i:12:p:1840-1852
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    Cited by:

    1. TURKEŠ, Renata & SÖRENSEN, Kenneth & HVATTUM, Lars Magnus & BARRENA, Eva & CHENTLI, Hayet & COELHO, Leandro & DAYARIAN, Iman & GRIMAULT, Axel & GULLHAVE, Anders & IRIS, Çagatay & KESKIN, Merve & KIEFE, 2019. "Meta-analysis of metaheuristics: Quantifying the effect of adaptiveness in adaptive large neighborhood search," Working Papers 2019002, University of Antwerp, Faculty of Business and Economics.
    2. Benavent, Enrique & Corberán, Ángel & Laganà, Demetrio & Vocaturo, Francesca, 2023. "A two-phase hybrid algorithm for the periodic rural postman problem with irregular services on mixed graphs," European Journal of Operational Research, Elsevier, vol. 307(1), pages 64-81.
    3. Lu, Jiawei & Nie, Qinghui & Mahmoudi, Monirehalsadat & Ou, Jishun & Li, Chongnan & Zhou, Xuesong Simon, 2022. "Rich arc routing problem in city logistics: Models and solution algorithms using a fluid queue-based time-dependent travel time representation," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 143-182.

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