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Theory and practice of uncertain programming
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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.Abstract:
Real-life decisions are usually made in the state of uncertainty such as randomness and fuzziness. How do we model optimization problems in uncertain environments? How do we solve these models? In order to answer these questions, 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. Researchers, practitioners and students in operations research, management science, information science, system science, and engineering will find this work a stimulating and useful reference.read more
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Book
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.
Some Research Problems in Uncertainty Theory
TL;DR: In this article, a new uncertain calculus is proposed and applied to uncertain difierential equation, flnance, control, flltering and dynamical systems based on the uncertainty theory.
Fuzzy Process, Hybrid Process and Uncertain Process
TL;DR: In order to construct fuzzy counterparts of Brownian motion and stochastic calculus, some basic concepts of fuzzy process are proposed, including fuzzy calculus and fuzzy difierential equation, which are extended to hybrid process and uncertain process.
Journal ArticleDOI
Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles
TL;DR: A comprehensive review of Uncertainty-Based Multidisciplinary Design Optimization (UMDO) theory and the state of the art in UMDO methods for aerospace vehicles is presented.
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Optimal Cloudlet Placement and User to Cloudlet Allocation in Wireless Metropolitan Area Networks
TL;DR: An algorithm is devised that enables the placement of the cloudlets at user dense regions of the WMAN, and assigns mobile users to the placed cloudlets while balancing their workload, which indicates that the performance of the proposed algorithm is very promising.
References
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A Generalized Network Approach to Project Activity Sequencing
TL;DR: By means of the analysis presented herein, it is possible to find the optimal combination of time, technical performance level, and resources for any project.
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Continuity theorems and chance distribution of random fuzzy variables
TL;DR: Some properties of chance measure of random fuzzy events are given, and several continuity theorems for random fuzzy sequences are investigated and the concept of chance distribution for a random fuzzy variable is presented.
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Evolution program for deterministic and stochastic optimizations
TL;DR: An evolution program for deterministic and stochastic optimizations to overcome premature convergence and stalling of the solution, and an exponential-fitness scaling scheme to avoid the chromosomes jamming into a corner.
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An open shop scheduling problem with fuzzy allowable time and fuzzy resource constraint
Tsutomu Konno,Hiroaki Ishii +1 more
TL;DR: An efficient algorithm is presented for a preemptive open shop scheduling problem that is a fuzzy version of the model by Werra et al. and has bi-criteria to be maximized.
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Extension principle in fuzzy optimization
TL;DR: The paper deals with the generalization of the well known extension principle to set-to-set mappings (multifunctions) and a new concept of solution of the fuzzy optimization problem is introduced and compared with the usual one.