Modelling and optimization of multi-item solid transportation problems with uncertain variables and uncertain entropy function

Year 2018, Volume: 3 Issue: 1, 28 - 41, 30.04.2018

Hasan Dalman

Abstract

This paper concentrates on modeling of the uncertain entropy multi item solid transportation problem, in which the supply

capacities, demands, conveyances and transportation capacities are thought to be uncertain variables due to the obvious uncertainty of

information. In general, the transportation cost in the transportation problem is employed by the optimization aim, while the dispersals

of trips among sources, destinations, and conveyances are often ignored. In order to minimize both transportation penalties and

maximize entropy value which guarantees uniform transportation of products from sources to destinations via conveyances, this paper

holds entropy function of dispersals of trips among sources, destinations, and conveyances as a second objective function. Inside the

construction of uncertainty theory, the uncertain entropy function for transportation models is first proposed here. Thus the model is

turned into its crisp equivalent by using uncertainty theory, which can be solved by applying minimizing distance optimization

method. Finally, a numerical experiment is given to illustrate the models.

Keywords

Uncertain entropy function, multi-item solid transportation problem, uncertain multiobjective optimization

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