Bi-level and Multi-Level Programming Problems: Taxonomy of Literature Review and Research Issues

This paper presents taxonomy of detailed literature reviews on bi-level programming problems (BLPPs), multi-level programming problems (MLPPs) and associated research problems, while providing detail of solution techniques at the same time. In this taxonomy of review, we classified the multi-level p...

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Vydané v:Archives of computational methods in engineering Ročník 25; číslo 4; s. 847 - 877
Hlavní autori: Lachhwani, Kailash, Dwivedi, Abhishek
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Dordrecht Springer Netherlands 01.11.2018
Springer Nature B.V
Predmet:
Engineering
Literature reviews
Mathematical and Computational Engineering
Mathematical programming
Multiple objective analysis
Original Paper
Pareto optimum
Queuing theory
Taxonomy
ISSN:1134-3060, 1886-1784
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Popis
Shrnutí:This paper presents taxonomy of detailed literature reviews on bi-level programming problems (BLPPs), multi-level programming problems (MLPPs) and associated research problems, while providing detail of solution techniques at the same time. In this taxonomy of review, we classified the multi-level programming problems into two types: (i) General multi-level programming problems (MLPPs) (ii) multi-level multi-objective programming problems (ML-MOPPs) which are further sub classified based on the algorithmic and optimality studies. Bi-level programming problems (BLPPs) are considered as special cases of multi-level programming problems with two level structures. The present literature review includes approximately all prior and latest references on BLPPs, and MLPPs, related solution methodologies. The general related concepts are briefly described while associated references are included for further investigations. The aim of this paper is to provide an easy and systematic road map of currently available literature studies on BLPPs and MLPPs for future researchers.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ObjectType-Literature Review-2
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ISSN:1134-3060
1886-1784
DOI:10.1007/s11831-017-9216-5