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A mixed-integer linear programming model for solving fuzzy stochastic resource constrained project scheduling problem

Yagub Alipouri (), Mohammad Hassan Sebt (), Abdollah Ardeshir () and Mohammad Hossein Fazel Zarandi ()
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Yagub Alipouri: Amirkabir University of Technology (Tehran Polytechnic)
Mohammad Hassan Sebt: Amirkabir University of Technology (Tehran Polytechnic)
Abdollah Ardeshir: Amirkabir University of Technology (Tehran Polytechnic)
Mohammad Hossein Fazel Zarandi: Amirkabir University of Technology (Tehran Polytechnic)

Operational Research, 2020, vol. 20, issue 1, No 8, 197-217

Abstract: Abstract This paper addresses resource-constrained project scheduling problem with mixed uncertainty of randomness and fuzziness (FS-RCPSP). The activity durations are considered to be fuzzy random variables. A resource flow network based mathematical model with fuzzy random variables is presented. Then, this model is transformed into a mixed-integer linear programming model with crisp variables. The CPLEX 12.6.0.1 solver in AIMMS (2014) is employed for applying the proposed model to solve 960 benchmark instances generated from the well-known sets J30 and J60 in PSPLIB. The computational results are encouraging and indicate the ability of the proposed model to handle the FS-RCPSP.

Keywords: Combinatorial optimization; Fuzzy stochastic resource-constrained project scheduling problem; Fuzzy random variables; Mixed-integer linear programming (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s12351-017-0321-x

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