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Two stage stochastic bilevel programming using Stochastic Systematic Evolutionary(SSE) method

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dc.contributor.author Goshu, Natnael Nigussie
dc.contributor.author Kassa, Semu Mitiku
dc.date.accessioned 2020-08-17T10:23:50Z
dc.date.available 2020-08-17T10:23:50Z
dc.date.issued 2019-06
dc.identifier.citation Goshu, N. N. and Kassa, S. M. (2019). Two stage stochastic bilevel programming using Stochastic Systematic Evolutionary(SSE) method. In Jamisola, Rodrigo S. Jr (ed.) BIUST Research and Innovation Symposium 2019 (RDAIS 2019); 1 (1) 59-64. en_US
dc.identifier.issn 2521-2292
dc.identifier.uri http://repository.biust.ac.bw/handle/123456789/157
dc.description.abstract Stochastic bilevel programming is a bilevel program having some form of randomness in the problem definition. The main objective is to optimize the leader’s (upper level) stochastic programming problem, where the follower’s problem is assumed to be satisfied as part of the constraints. Evaluation of the solution requires its corresponding lower level optimal reaction for each leader’s action. In addition, due to the existence of randomness property, the problem is computationally so expensive and challenging. In this paper, we considered a two stage stochastic bilevel program and we proposed a new algorithm for solving such kind of problems and the algorithm is checked using constructed test problem. This algorithm is a meta-heuristic type algorithm based on systematical partitioning of upper level decision space for searching the optimal reaction for leader’s action from its own decision space and applying particle swarm optimization for searching a better follower’s reaction. The result of the numerical simulations of the algorithm is very much promising. The algorithm can be used to solve complex stochastic bilevel programming problem. en_US
dc.description.sponsorship Botswana International University of Science and Technology en_US
dc.language.iso en en_US
dc.publisher Botswana International University of Science and Technology en_US
dc.subject Two stage stochastic programming en_US
dc.subject Bilevel programming en_US
dc.subject Stackelberg equilibrium en_US
dc.subject Sample average approximation en_US
dc.title Two stage stochastic bilevel programming using Stochastic Systematic Evolutionary(SSE) method en_US
dc.description.level phd en_US
dc.description.accessibility unrestricted en_US
dc.description.department mss en_US


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