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Flowshop scheduling of construction processes with uncertain parameters

Bozejko Wojciech, Hejducki Zdzisław, Wodecki Mieczysław

Archives of Civil and Mechanical Engineering

2019

Vol. 19, no. 1

194--204

In the paper a construction scheduling problem – namely flowshop – with minimizing the sum of penalties for exceeding the deadline of building structures completion is considered. The problem is illustrated by the investment task concerning the implementation of twelve apartment buildings forming a part of a new housing estate. Uncertain parameters of the system are represented either by fuzzy numbers or random variables, whereas random variables have normal or the Erlang distribution. Since even the deterministic version of the problem is strongly NP-hard, the approximate algorithm based on the tabu search method was used to its solution. The performed computational experiments showed large solution resistance against any potential interference of parameters of the problem.

Evolutionary algorithm in identification of stochastic parameters ot laminates

Orantek P., Beluch W., Burczyński T.

Prace Naukowe Politechniki Warszawskiej. Elektronika

2008

z. 165

165-172

The paper deals with the identification of material constants in multi-layered composites. Simple and hybrid (with laminas made of different materials) laminates are considered. Material constants are presented in a stochastic form to model their uncertainty. The Evolutionary Algorithm based on such representation of the data is used as the global optimization method. Chromosomes are represented by multidimensional random vectors consisting of random genes in the form of independent random variables with the Gaussian density probability functions. The Stochastic optimization problem is replaced by a deterministic one by evolutionary computing of chromosomes having genes consisting of mean values and standard deviations. Modal analysis methods are employed to collect measurement data necessary for the identification. The Finite Element Method in Stochastic version is used to solve the boundary-value problem for laminates. Numerical examples showing efficiency of the method are presented.