Abstract
This paper describes a vehicle flow model for a two-echelon location-routing problem involving deliveries from primary to secondary facilities and from secondary facilities to users. Four distribution modes for the whole system are considered.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
C. H. Aikens, “Facility Location Models for Distribution Planning”, European Journal of Operational Research, Vol. 22, pp. 263–279, 1985.
L. D. Bodin, B. L. Golden, A. Assad, and M. Ball, “Routing and Scheduling of Vehicles and Crews. The State of the Art”, Computers & Operations Research, Vol. 10, pp. 69–211, 1983.
G. Carpaneto, P. Toth, “Some New Branching and Bounding Criteria for the Asymmetrical Travelling Salesman Problem”, Management Science, Vol. 26, pp. 736–743, 1980.
L. Cooper, “Location-Allocation Problems”, Operations Research, Vol. 11, pp. 331–343, 1963
L. Cooper, “Heuristic Methods for Location-Allocation Problems”, SIAM Review, Vol. 6, pp. 37–53, 1964.
G. B. Dantzig, D. R. Fulkerson, S. M. Johnson, “Solution of a Large Scale Travelling Salesman Problem”, Operations Research, Vol. 2, pp. 393–410, 1954.
B. Gavish and S. C. Graves, “Scheduling and Routing in Transportation and Distribution Systems: Formulations and New Relaxations”, Working Paper, Graduate School of Management, University of Rochester, 1982.
S. K. Jacobsen and O. B. G. Madsen, “A Comparative Study of Heuristics for a Two-Level Routing-Location Problem”, European Journal of Operational Research, Vol. 5, pp. 378–387, 1980.
J. Krarup and P. M. Pruzan, “The Simple Plant Location Problem: Survey and Synthesis”, European Journal of Operational Research, Vol. 12, pp. 36–81, 1983.
M. Labbe and G. Laporte, “Maximizing User Convenience and Postal Service Efficiency in Post Box Location”, 1986, (Belgian Journal of Operations Research, Statistics and Computer Science, Vol. 26, pp. 21–35, 1986.
G. Laporte, H. Mercure and Y. Nobert, “Optimal Tour Planning with Specified Nodes”, RAIRO (recherche opérationnelle), Vol. 18, pp. 203–210, 1984.
G. Laporte, H. Mercure and Y. Nobert, “An Exact Algorithm for the Asymmetrical Capacitated Vehicle Routing Problem”, Networks, Vol. 16, pp. 33–46, 1986.
G. Laporte, H. Mercure and Y. Nobert, “Generalized Travelling Salesman Problem through n Sets of Nodes: the Asymmetrical Case”, Forthcoming in Discrete Applied Mathematics, 1987.
G. Laporte and Y. Nobert, “A Branch and Bound Algorithm for the Capacitated Vehicle Routing Problem”, Operations Research Spektrum, Vol. 5, pp. 77–85, 1983.
G. Laporte and Y. Nobert, “Exact Algorithms for the Vehicle Routing Problem”, in Surveys in Combinatorial Optimization, S. Martello et al. eds., North-Holland Publishing Co., Amsterdam, pp. 147–184, 1987.
G. Laporte, Y. Nobert and D. Arpin, “An Exact Algorithm for Solving a Capacitated Location-Routing Problem”, in Location Theory: Methodology and Applications, J. C. Baltzer AG, Scientific Publishing Co., Basel, Switzerland, pp. 293–310, 1986.
G. Laporte, Y. Nobert, S. Taillefer, “A Branch and Bound Algorithm for the Asymmetrical Distance Constrained Vehicle Routing Problem”, Forthcoming in Mathematical Modelling, 1987.
O. B. G. Madsen, “Methods for Solving Combined Two-Level Location-Routing Problems of Realistic Dimensions”, European Journal of Operational Research, Vol. 12, pp. 295–301, 1983.
D. R. McLain, M. L. Durchholz and W. B. Wilborn, “U.S.A.F. EDSA Routing and Operating Location Selection Study”, Report No. XPSR84-3, Operations Research Division, Directorate of Studies and Analysis, Scott Air Force Base, 1984.
J. Nambiar and L. G. Chalmet, “A Location and Vehicle Scheduling Problem in Collecting and Processing Rubber”, Paper presented at the TIMS/ORSA Conference, New Orleans, 1979.
I. Or and W. P. Pierskalla, “A Transportation Location-Allocation Model for Regional Blood Banking”, AIIE Transactions, Vol. 2, pp. 86–95, 1979.
J. Perl and M. S. Daskin, “A Warehouse Location-Routing Problem”, Paper presented at the TIMS/ORSA Conference, Orlando, 1983.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Laporte, G., Nobert, Y. (1988). A Vehicle Flow Model for the Optimal Design of a Two-Echelon Distribution System. In: Eiselt, H.A., Pederzoli, G. (eds) Advances in Optimization and Control. Lecture Notes in Economics and Mathematical Systems, vol 302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46629-8_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-46629-8_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18962-6
Online ISBN: 978-3-642-46629-8
eBook Packages: Springer Book Archive