An Approximate Model for Fleet Sizing and Redistribution

  • Peter Kochel

Abstract

To allocate a fleet of vehicles to a given number of locationsand to redistribute free vehicles are important control problems.In this paper we use the results for multi-location inventorymodels to develop an approximate solution for the combinedfleet sizing and redistribution problem. For a defined rewardstructure we investigate:a) some properties of the optimal redistribution and allocationdecision respectively;b) the concavity of the expected one-period reward;c) the advantages gained from co-operation of locations overindependent locations.Since a model with discrete time is used, the proposed solutionis an approximation. The two-location model is investigatedin more detail.

References

[DUHA97] Du, Y. Hall, R.: Fleet Sizing and Empty Equipment

Redistribution for Center-terminal Transportation Networks.

Management Science, Vol. 43 (1997), No.2, 145-157.

[KOCH75] Kochel, P.: A stochastic multi-location inventory

model. (in German) Mathem. Operationsforsch. Statist.,

Vol. 6 (1975), No.3, 413-426.

[KOCH82] Kochel, P.: A dynamic multi-location model with

transhipments between locations. (in German) Mathem. Operationsforsch.

Statist., Ser. Optimization, Vol.13(1982),

No.2, 267-286.

[KOCH88] Kochel, P.: Optimal adaptive inventory control for

a multi-location model with redistribution. Optimization, Vol.

(1988), No. 4, 525-537.

[KOCH90] Kochel, P.: A dynamic multi-location inventory

model with contingents and redistribution of rest stock. Engineering

Costs and Production Economics, v.19(1990),

-363

[KOAR96] Kochel, P.; Arnold, J.: Evolutionary algorithms

for optimisation of multi-location inventory systems with transhipments.

(in German). Simulationstechnik, 10. Symposium

in Dresden, September 1996, Vieweg 1996, pp. 461-464.

How to Cite
1.
Kochel P. An Approximate Model for Fleet Sizing and Redistribution. PROMET [Internet]. 1 [cited 2019Dec.6];9(5-6):195-00. Available from: http://traffic.fpz.hr/index.php/PROMTT/article/view/796
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