Uncertain programming model for uncertain optimal assignment problem
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TLDR
Within the framework of uncertain programming, it gives the uncertainty distribution of the optimal assignment profit, and the concept of α -optimal assignment for uncertain optimal assignment problem is proposed and α-optimal model is constructed.About:
This article is published in Applied Mathematical Modelling.The article was published on 2013-05-01 and is currently open access. It has received 51 citations till now. The article focuses on the topics: Generalized assignment problem & Weapon target assignment problem.read more
Citations
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Sustainable multi-depot emergency facilities location-routing problem with uncertain information
TL;DR: This paper presents an exploration of the sustainable multi-depot emergency facilities location-routing problem with uncertain information and proposes a hybrid intelligent algorithm that integrates uncertain simulation and a genetic algorithm designed to solve the proposed model.
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Uncertain goal programming models for bicriteria solid transportation problem
TL;DR: It is proved that the expected value goal Programming model and chance-constrained goal programming model can be respectively transformed into the corresponding deterministic equivalents by taking advantage of some properties of uncertainty theory.
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Covering location problem of emergency service facilities in an uncertain environment
Bo Zhang,Jin Peng,Shengguo Li +2 more
TL;DR: In this paper, the location set covering problem in an uncertain environment is modeled as an uncertain location set cover problem, which is then solved by using the inverse uncertainty distribution of the covered demand.
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Fixed charge solid transportation problem in uncertain environment and its algorithm
TL;DR: A hybrid intelligent algorithm is designed based on the uncertainty theory and tabu search algorithm to solve the models of three mathematical models for uncertain fixed charge solid transportation problem.
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Reduction methods of type-2 uncertain variables and their applications to solid transportation problem
TL;DR: This paper proposes the definition of type-2 uncertain variables within the framework of uncertainty theory through introduction of generalized uncertain measures and focuses on more complex twofold uncertainties.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI
The Hungarian method for the assignment problem
TL;DR: This paper has always been one of my favorite children, combining as it does elements of the duality of linear programming and combinatorial tools from graph theory, and it may be of some interest to tell the story of its origin this article.
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Algorithms for the Assignment and Transportation Problems
TL;DR: In this paper, algorithms for the solution of the general assignment and transportation problems are presen, and the algorithm is generalized to one for the transportation problem.
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Uncertainty Theory
TL;DR: Mathematicians, researchers, engineers, designers, and students in the field of mathematics, information science, operations research, industrial engineering, computer science, artificial intelligence, and management science will find this work a stimulating and useful reference.
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Theory and practice of uncertain programming
TL;DR: This book provides a self-contained, comprehensive and up-to-date presentation of uncertain programming theory, including numerous modeling ideas, hybrid intelligent algorithms, and applications in system reliability design, project scheduling problem, vehicle routing problem, facility location problem, and machine scheduling problem.