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Title of Journal: Int J Mach Learn Cyber

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Abbravation: International Journal of Machine Learning and Cybernetics

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Springer Berlin Heidelberg

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DOI

10.1002/ardp.18812190552

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1868-808X

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Resourceconstrained project scheduling problem wi

Authors: Weimin Ma Yangyang Che Hu Huang Hua Ke
Publish Date: 2015/10/27
Volume: 7, Issue: 4, Pages: 613-621
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Abstract

Resourceconstrained project scheduling problem is to make a schedule for minimization of the makespan subject to precedence and resource constraints In this paper we consider an uncertain resourceconstrained project scheduling problem URCPSP in which the activity durations with no historical data generally are estimated by experts In order to deal with these estimations an uncertaintytheorybased project scheduling model is proposed Furthermore a genetic algorithm integrating a 99method based uncertain simulation is designed to search the quasioptimal schedule Numerical examples are also provided to illustrate the effectiveness of the model and the algorithmThis work was supported by National Natural Science Foundation of China No71371141 71071113 71001080 a Ph D Programs Foundation of Ministry of Education of China No 2010007211011 Shanghai Philosophical and Social Science Program No 2010BZH003 and the Fundamental Research Funds for the Central UniversitiesIn this section some concepts and theorems of uncertainty theory are introduced to lay the foundation for the URCPSP modeling Uncertainty theory is a branch of axiomatic mathematics for subjective uncertainty modeling which has been well developed and applied in a wide variety of real problemsLet Gamma be a nonempty set fancyscript L a sigmaalgebra over Gamma and each element Lambda in fancyscriptL is called an event Uncertain measure is defined as a function from fancyscriptL to 0 1 In detail the concept of uncertain measure is pioneered by 19 and redefined by 20 Uncertain measure fancyscriptM is a set function defined over the following four axioms

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