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Minimization of logistic costs with given frequencies

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  • Bertazzi, Luca
  • Speranza, Maria Grazia
  • Ukovich, Walter

Abstract

We study the problem of shipping products from one origin to several destinations, when a given set of possible shipping frequencies is available. The objective of the problem is the minimization of the transportation and inventory costs. We present different heuristic algorithms and test them on a set of randomly generated problem instances. The heuristics are based upon the idea of solving, in a first phase, single link problems, and of locally improving the solution in subsequent phases.

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  • Bertazzi, Luca & Speranza, Maria Grazia & Ukovich, Walter, 1997. "Minimization of logistic costs with given frequencies," Transportation Research Part B: Methodological, Elsevier, vol. 31(4), pages 327-340, August.
    • Handle: RePEc:eee:transb:v:31:y:1997:i:4:p:327-340
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    1. Luca Bertazzi & Maria Grazia Speranza & Walter Ukovich, 2000. "Exact and Heuristic Solutions for a Shipment Problem with Given Frequencies," Management Science, INFORMS, vol. 46(7), pages 973-988, July.
    2. Pan, Zhendong & Tang, Jiafu & Fung, Richard Y.K., 2009. "Synchronization of inventory and transportation under flexible vehicle constraint: A heuristics approach using sliding windows and hierarchical tree structure," European Journal of Operational Research, Elsevier, vol. 192(3), pages 824-836, February.
    3. Djurdjica Stojanović & Svetlana Nikoličić & Milica Miličić, 2011. "Transport Fleet Sizing By Using Make And Buy Decision-Making," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 56(190), pages 77-102, July – Se.
    4. Luca Bertazzi & Maria Grazia Speranza, 1999. "Minimizing logistic costs in multistage supply chains," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(4), pages 399-417, June.
    5. N H Moin & S Salhi, 2007. "Inventory routing problems: a logistical overview," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(9), pages 1185-1194, September.
    6. Kim, Jung-Ug & Kim, Yeong-Dae, 1999. "A decomposition approach to a multi-period vehicle scheduling problem," Omega, Elsevier, vol. 27(4), pages 421-430, August.
    7. Bertazzi, Luca & Grazia Speranza, Maria, 1999. "Inventory control on sequences of links with given transportation frequencies," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 261-270, March.
    8. Stefano Colombo & Luigi Filippini, 2019. "The choice between product and logistic innovation in a spatial model with income distribution," Economia e Politica Industriale: Journal of Industrial and Business Economics, Springer;Associazione Amici di Economia e Politica Industriale, vol. 46(4), pages 609-627, December.
    9. Milind Dawande & Srinagesh Gavirneni & Sridhar Tayur, 2006. "Effective Heuristics for Multiproduct Partial Shipment Models," Operations Research, INFORMS, vol. 54(2), pages 337-352, April.
    10. Lap Mui Ann Chan & M. Grazia Speranza & Luca Bertazzi, 2013. "Asymptotic analysis of periodic policies for the inventory routing problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(7), pages 525-540, October.
    11. Luca Bertazzi & Giuseppe Paletta & M. Grazia Speranza, 2002. "Deterministic Order-Up-To Level Policies in an Inventory Routing Problem," Transportation Science, INFORMS, vol. 36(1), pages 119-132, February.
    12. Bertazzi, Luca & Moezi, Sarem Deilami & Maggioni, Francesca, 2021. "The value of integration of full container load, less than container load and air freight shipments in vendor–managed inventory systems," International Journal of Production Economics, Elsevier, vol. 241(C).
    13. Marseglia, G. & Mesa, J.A. & Ortega, F.A. & Piedra-de-la-Cuadra, R., 2022. "A heuristic for the deployment of collecting routes for urban recycle stations (eco-points)," Socio-Economic Planning Sciences, Elsevier, vol. 82(PA).
    14. Baita, Flavio & Ukovich, Walter & Pesenti, Raffaele & Favaretto, Daniela, 1998. "Dynamic routing-and-inventory problems: a review," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(8), pages 585-598, November.
    15. Claudia Archetti & Luca Bertazzi & Gilbert Laporte & Maria Grazia Speranza, 2007. "A Branch-and-Cut Algorithm for a Vendor-Managed Inventory-Routing Problem," Transportation Science, INFORMS, vol. 41(3), pages 382-391, August.
    16. Vidović, Milorad & Popović, Dražen & Ratković, Branislava, 2014. "Mixed integer and heuristics model for the inventory routing problem in fuel delivery," International Journal of Production Economics, Elsevier, vol. 147(PC), pages 593-604.
    17. Luca Bertazzi, 2008. "Analysis of Direct Shipping Policies in an Inventory-Routing Problem with Discrete Shipping Times," Management Science, INFORMS, vol. 54(4), pages 748-762, April.
    18. Moin, N.H. & Salhi, S. & Aziz, N.A.B., 2011. "An efficient hybrid genetic algorithm for the multi-product multi-period inventory routing problem," International Journal of Production Economics, Elsevier, vol. 133(1), pages 334-343, September.
    19. Leandro C. Coelho & Jean-François Cordeau & Gilbert Laporte, 2014. "Thirty Years of Inventory Routing," Transportation Science, INFORMS, vol. 48(1), pages 1-19, February.

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