Transportation Cost Assessment by Means of a Monte Carlo Simulation in a Transshipment Model

  • Gordana Dukić
  • Darko Dukić
  • Ivana Alerić
Keywords: transportation costs, stochastic transshipment model, Monte Carlo simulation, quantitative methods, confidence interval, !-distribution, computer analysis

Abstract

The task of transport management is to organize the transportof goods from a number of sources to a number of destinationswith minimum total costs. The basic transportation modelassumes direct transport of goods from a source to a destinationwith constant unit transportation costs. In practice, however,goods are frequently transported through several transientpoints where they need to be transshipped. In such circumstancestransport planning and organization become increasinglycomplex. This is especially noticeable in water transport.Most of the issues are directly connected to port operations, asthey are the transshipment hubs. Since transportation is under anumber of influences, in today 's turbulent operating conditionsthe assumption on fixed unit transportation costs cannot betaken as realistic. In order to improve decision making in thetransportation domain, this paper will present a stochastictransshipment model in which cost estimate is based on MonteCarlo simulation. Simulated values of unit costs are used to devisean adequate linear programming model, the solving ofwhich determines the values of total minimum transportationcosts. After repeating the simulation for a sufficient number oftimes, the distribution of total minimum costs can be formed,which is the basis for the pertinent confidence interval estimation.It follows that the design, testing and application of thepresented model requires a combination of quantitative optimizationmethods, simulation and elements of inferential statistics,all with the support of computer and adequate software.

References

D. R. Anderson, D. J. Sweeney, T. A. Williams: '~n

Introduction to Management Science: Quantitative Approaches

to Decision Making', lOth Edition, West Publishing

Co., St. Paul, 2003.

N. <;omez, K. E. Stecke, M. <;akanyildirim: 'Virtual

Pooling Considering Transshipment Lead Time ',

http://som.utdallas.edu/faculty/working_papers/

SOM200672.pdf

Y. T. Herer, M. Tzur: 'The Dynamic Transshipment

Problem',

http: I /www.eng. tau.ac.il/ -tzur/dynamictrans. pdf

F. S. Hillier, G. J. Lieberman: 'Introduction to Operations

Research', Eighth Edition, McGraw-Hill, New

York, 2005.

V. G. Kulkarni: 'Modeling, Analysis, Design, and Control

of Stochastic Systems', Springer-Verlag, New York,

N. Majdandzic: 'Primjena racunala ', Sveuciliste Josipa

Jurja Strossmayera u Osijeku, Strojarski fakultet u Slavonskom

Brodu, Slavonski Brod, 1996.

D. Ozdemir, E. Yiicesan, Y. T. Herer: '~ Monte Carlo

Simulation Approach to the Capacitated Multi-Location

Transshipment Problem',

http://www.informs-sim.org/wsc03papers/22l.pdf

H. A. Taha: 'Operations Research -An Introduction ',

Seventh Edition, Prentice-Hall, New York, 2003.

S. Takakuwa, T. Fujii: '~ Practical Module-Based Simulation Model for Transshipment-Inventory System ',

http: //www.informs-sim.org/wsc99papers/194.PDF

How to Cite
1.
Dukić G, Dukić D, Alerić I. Transportation Cost Assessment by Means of a Monte Carlo Simulation in a Transshipment Model. Promet [Internet]. 1 [cited 2024Apr.18];20(5):301-7. Available from: https://traffic.fpz.hr/index.php/PROMTT/article/view/1014
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