Computer-Supported Modelling of Multi modal Transportation Networks Rationalization

  • Ratko Zelenika
  • Slavomir Vukmirović
  • Hilmija Mujić
Keywords: intermodal transportation, transportation networks, spreadsheets, mathematical modelling programming languages, Lingo, Solver


This paper deals with issues of shaping and functioning ofcomputer programs in the modelling and solving of multimoda Itransportation network problems. A methodology of an integrateduse of a programming language for mathematical modellingis defined, as well as spreadsheets for the solving of complexmultimodal transportation network problems. The papercontains a comparison of the partial and integral methods ofsolving multimodal transportation networks. The basic hypothesisset forth in this paper is that the integral method results inbetter multimodal transportation network rationalization effects,whereas a multimodal transportation network modelbased on the integral method, once built, can be used as the basisfor all kinds of transportation problems within multimodaltransport. As opposed to linear transport problems, multimodaltransport network can assume very complex shapes. This papercontains a comparison of the partial and integral approach totransp01tation network solving. In the partial approach, astraightforward model of a transp01tation network, which canbe solved through the use of the Solver computer tool within theExcel spreadsheet inteiface, is quite sufficient. In the solving ofa multimodal transportation problem through the integralmethod, it is necessmy to apply sophisticated mathematicalmodelling programming languages which supp01t the use ofcomplex matrix functions and the processing of a vast amountof variables and limitations. The LINGO programming languageis more abstract than the Excel spreadsheet, and it requiresa certain programming knowledge. The definition andpresentation of a problem logic within Excel, in a manner whichis acceptable to computer software, is an ideal basis for modellingin the LINGO programming language, as well as a fasterand more effective implementation of the mathematical model.This paper provides proof for the fact that it is more rational tosolve the problem of multimodal transportation networks by usingthe integral, rather than the partial method.


Zelenika, R., Prometni sustavi, University of Rijeka,

Ekonomski faku ltet Rijeka, 2001, p. 133.

Vukmirovic, S., Utjecaj informacijske tehnologije na organizacijsku

strukturu spediterskog poduzeca, Doctoral

dissertation, University of Zagreb, Fakultet organizacije

i informatike, Varazdin, 1999, p. 224.

Sak.ic, N., Benic, D., Operacijska istraiivanja u multimodalnom

transportu, University of Rijeka, Fakultet za

pomorstvo i saobracaj, R ijeka, 1990, p. 2.

Hadjina, B., Optimalno upravljanjefinancijskim resursima

primjenom matematickih metoda, Doctoral dissertation, University of Rijeka, Ekonomski fakultet Rijeka,

, pp. 28-30.

Nunez, F.,An Extended Spreadsheet Paradigm For Data

Visualisation Systems, and its Implementation (2002), A

Dissertation, pp. 34.


Pasagic, H., Matematicko modeliranje i teorija grafova ,

Zagreb, Fakulet prometnih znanosti, Zagreb, 1998, p.

Zelenika, R., Logisticki sustavi, Ekonomski fakultet u

Rijeci, Rijeka, 2005, p. 127.

Barkovic, D., Operacijska istraiivanja, Ekonomski fakultet,

Osijek, 2002, p. 117.

Zelenika, R, Pavlic, H., Rjeenik kratica u ekonomiji,

Ekonomski fakultet u Rijeci, Rijeka, 2004, p. 325.

Walkenbach, J., Underdahl, B., Excel 2002 Biblija Mikro

knjiga, Zagreb, 2002, p. 93.

Fragniere, E.,: Optimization Modeling Languages,

How to Cite
Zelenika R, Vukmirović S, Mujić H. Computer-Supported Modelling of Multi modal Transportation Networks Rationalization. Promet [Internet]. 1 [cited 2024Mar.1];19(5):277-88. Available from:
Older issues

Most read articles by the same author(s)

1 2 > >>