Abstract
The major goal of this paper is to underline the contribution of computer technology and quantitative methods to the development of logistics. After recalling the basic concepts of physical distribution and their evolution, the structure of a logistic system and the links with the business functions are illustrated. Then, the fundamental mathematical models, both for the logistic network design and for some key decision problems in logistic system design, are analyzed and discussed.
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
Agin N.I., Cullen D.E. (1975), An algorithm for transportation routing and vehicle loading. Logistics, M.A. Geisles (ed.), Studies in Management Sciences, Vol. 1 — American Elsevier.
Armour R.G., Buffa E.S. (1963), A heuristic algorithm and simulation approach to the relative allocation of facilities. Management Science, 9: 294–309.
Ballou R.H. (1981), Reformulating a logistics strategy. International Journal of Physical Distribution and Materials Management, 11, No. 8: 71–83.
Ballou R.H. (1982), DISPLAN — A multiproduct facility location model with nonlinear inventory costs. Proceedings of the 12th annual transportation and logistics educator’s conference, S. Francisco.
Bazaraa M.S., Sherali M.D. (1980), Bender’s partition scheme applied to a new formulation of the quadratic assignment problem. Naval Research Logistics Quarterly 27 (1): 29–41.
Belardo S., Duchessi P., Seagle J.P. (1985), Microcomputer graphics in support of vehicle fleet routing. Interfaces 15: 84–92.
Bender P.S. (1983), Resource management. John Wiley. New York.
Bender P.S. (1985), Logistic system design. The distribution Handbook, Robeson J.F. House R.G. (eds): 143–224.
Bodin L., Golden B.L., Assad B., Ball M. (1983), Routing and scheduling of vehicle and crews: the state of the art. Computers and Operations Research 10: 63–211.
Brown G.G., Graves G.W. (1980), Real-time dispatch of petroleum tank trucks. Working Paper No. 306; Western Management Science Institute, UCLA, Los Angeles.
Burkard R.E., Bonninger T. (1983), A heuristic for quadratic boolean program with application to quadratic assignment problem.
Carpaneto G., Dell’Amico M., Fischetti M., Toth P. (to appear), A branch and bound algorithm for the multiple depot vehicle scheduling problem. Networks.
Chapleau L., Ferland J.A., Lapalme G., Rousseau J.M. (1984), A parallel insert method for the capacited arc routing problem. Operations Research Letters 3: 95–100.
Christofides N. (1976), Worst-case analysis of a new heuristic for the traveling salesman problem. Report 388, Graduate School of Industrial Administration Carnegie–Mellon University, Pittsburgh, PA.
Christofides N., Mingozzi A., Toth P. (1979), The vehicle routing problem. Combinatorial optimization. Christofides N., Mingozzi A., Toth P., Sandi C. (eds) J. Wiley and Sons.
Christofides N., Mingozzi A., Toth P. (1981), State space relaxation procedure for the computation of bounds to routing problems. Networks, 11: 145–164.
Christofides N. (1985), Vehicle Routing. The traveling salesman problem. Lawler E.L., Lenstra J.K., Rinnooy Kan A.H.G., Shmoys D.B. ( eds ), J. Wiley & Sons: 431–448.
Christofides N., Mingozzi A., Ricciardelli S., Spadoni M. (1986), An algorithm for the solution of the route building problem. Technical Report of Progetto Finalizzato Trasporti. Italian National Research Council — Grant n. 85. 02705. 93.
Clarke G., Wright J.W. (1964), Scheduling of vehicles from a central depot to a number of delivery points. Operations Research, 12: 568–581.
Crowston W.B., Wagner M.H., Williams J.F. (1973), Economic lot size determination in multi-stage. assembly systems. Management Science, 19: 517–527.
Dror M., Levy L. (1986), A vehicle routing improvement algorithm comparison of a “greedy” and a matching implementation for inventory routing. Computers and Operations Research 13: 33–45.
Dzielinski B., Gomory R. (1965), Optimal programming of lot sizes, inventory and labor allocation. Management Science, 11: 874–890.
Efroymnson M.A., Roy T.L. (1966), A branch-bound algorithm for planning location.Operations Research, 14.
Fisher M.L., Jaikumar R. (1978), A decomposition algorithm for large — scale vehicle routing. Working Paper No. 78-11-05 — Decision Sciences Department, The Wharton School, University of Pensylvania, Philadelphia.
Fisher M.L., Jaikumar R. (1981), A generalized assignment heuristics for vehicle routing. Networks, 11: 109–124.
Francis R.L., White J.A. (1974), Facility layout and location: an analytical approach. Englewood Cliffs N.T.: Prentice Hall.
Geoffrian A.M., Graves G.W. (1974), Multicommodity distribution system design by Benders decomposition — Management Science, 20: 822–844.
Gilmore P.C. (1962), Optimal and suboptimal algorithms for the quadratic assignment problem. Journal of the Society for Industrial and Applied Mathematics 10: 305–313.
Golden B.L., Magnanti T.L., Nguyen H.Q. (1977), Implementing vehicle routing algorithms. Networks, 7: 113–148.
Golden B.L., Skiscim C.C. (1986), Using simulated amealing to solve routing and location problems. Naval Research Logistics Quarterly 33: 261–279.
Hart J.P., Shogan A.W. (1987), Semi-greedy heuristics: an empirical study. Operations Research Letters 6: 107–114.
Heskett J.L., Ivie, R.M., Glaskowsky N.A. (1973), Business Logistics. Ronald Press, New York.
Hillier F.S., Connors M.M. (1966), Quadratic assignment problem algorithms and the location of individual facilities. Management Science, 13: 42–57.
Khumawala B.M. (1972), An efficient branch and bound algorithm fot the warehouse location problem. Management Science, 18.
Kirkpatrick S., Gelatt G.D. Jr, Vecchi P.O. (1983), Optimization by simulated annealing. Science Reprint Series: 671–680.
Kolen A.W.J., Rinnooy Kan A.H.G., Trienekens H.W.J.N. (1987), Vehicle routing with time windows. Operations Research 35: 266–273.
Kuehn A.A., Hamburger M.J. (1963), A heuristic program for locating wharehouse. Management Science, 9: 643–666.
Kusiak A., Heragu S.S. (1987), The facility layout problem. European Journal of Operational Research, 29 No. 3: 229–251.
Landson L., Terjung R. (1971), An efficient algorithm for multi-item scheduling. Operations Research, 19: 946–969.
La Londe B.J., Grabner J.R., Robeson J.F. (1970), Integrated distribution management; a management perspective. International Journal of Physical Distribution 1, No. 1: 44.
La Londe B.J., Grabner J.R., Robeson J.F. (1985), Integrated distribution systems: past, present, and future. The distribution hanbook, Robeson J.F. and House R.G. (eds): 15-27. The Free Press — New York.
Lawler E.L. (1963), The quadratic assignment problem. Management Science 9: 586–599.
Lin S., Kernighian B. (1973), An effective heuristic algorithm for the traveling salesman problem. Operations Research, 21: 498.
Mabert V.A., Whybark D.C. (1977), Sampling as a solution methodology. Decision Science, 8, No. 1: 167–179.
Magnanti T.L. (1981), Combinatorial optimization and vehicle fleet planning: perspectives and prospects. Networks, 11: 179–213.
Marchetti Spaccamela A., Rinnooy Kan A.H.G., Stougie L. (1984), Hierarchical vehicle routing problems. Networks 14: 571–586.
Psaraftis H.N. (1984), On the practical importance of asymptatic optimality in certain heuristic algorithms. Networks 14: 587–596.
Ritzman L.P. (1972), The efficiency of computer algorithms for plant layout. Management Science, 19: 240–248.
Sassano A. (1988), Minimizing costs in crude oil transportation. Freight Transport Planning and Logistics. Bianco L., La Bella A. (eds ), Springer Verlag (forthcoming).
Sciarrone G. (1988), Delivery problems in metropolitan areas optimizing the distribution of a daily newspaper: an application to the Turin daily “La Stampa”. Freight Transport Planning and Logistics. Bianco L. La Bella A. (eds ), Springer Verlag (forthcoming).
Scriabin M., Vergin R.C. (1975), Comparison of computer algorithms and visual based methods for plant layout. Management Science, 22: 172–181.
Shapiro J.F. (1985), Quantitative methods in distribution. The distribution handbook, Robeson J.F. and House R.G. (eds): 373-427. The Free Press–New York.
Shycon H.N., Maffei R.B. (1960), Simulation — Tool for better distribution. Harward Business Review, 39: 65–75.
Solomon M.S. (1986), On the worst-case performance of some heuristics for the vehicle routing and scheduling problem with time window constraints. Networks 16: 161–174.
Solomon M.S. (1987), Algorithms for the vehicle routing and scheduling problem with time window constraints. Operations Research 35: 254–265.
Tyagi M. (1968), A practical method for the truck dispatching problem. Journal of the Operations Research Society of Japan, 10: 76–92.
Wagner H.M., Whitin T.M. (1958), Dynamic version of the economic lot size model. Management Science, 5: 89–96.
Waters C.D.J. (1987), A solution procedure for the vehicle scheduling problem based on iterative route improvement. Journal of Operational Research Society 38: 833–839.
Zangwill W.I. (1966), A deterministic multi-product, multi-facility production and inventory model. Operations Research, 14: 486–507.
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
Bianco, L. (1988). Mathematical Models in Logistic System Design. In: Bianco, L., La Bella, A. (eds) Freight Transport Planning and Logistics. Lecture Notes in Economics and Mathematical Systems, vol 317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02551-2_7
Download citation
DOI: https://doi.org/10.1007/978-3-662-02551-2_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50232-6
Online ISBN: 978-3-662-02551-2
eBook Packages: Springer Book Archive