Online Combinatorial Optimization with Multiple Projections and Its Application to Scheduling Problem

Author(s):  
Takahiro FUJITA ◽  
Kohei HATANO ◽  
Shuji KIJIMA ◽  
Eiji TAKIMOTO
Author(s):  
Paolo Carraresi ◽  
Giorgio Gallo ◽  
Nicola Ciaramella ◽  
Luciano Lucchesi ◽  
Piero Lullia

Algorithms ◽  
2018 ◽  
Vol 11 (4) ◽  
pp. 50 ◽  
Author(s):  
Alexander Lazarev ◽  
Ivan Nekrasov ◽  
Nikolay Pravdivets

Author(s):  
Ethel Mokotoff

Quality is, in real-life, a multidimensional notion. A schedule is described and valued on the basis of a number of criteria, for example: makespan, work-in-process inventories, idle times, observance of due dates, etc. An appropriate schedule cannot be obtained unless one observes the whole set of important criteria. The multidimensional nature of the scheduling problems leads us to the area of Multicriteria Optmization. Thus considering combinatorial problems with more than one criterion is more relevant in the context of real-life scheduling problems. Research in this important field has been scarce when compared to research in single-criterion scheduling. The proliferation of metaheuristic techniques has encouraged researchers to apply them to combinatorial optimization problems. The chapter presents a review regarding multicriteria flow-shop scheduling problem, focusing on Multi-Objective Combinatorial Optimization theory, including recent developments considering more than one optimization criterion, followed by a summary discussion on research directions.


2009 ◽  
Vol 18 (08) ◽  
pp. 1597-1608 ◽  
Author(s):  
NIKBAKHSH JAVADIAN ◽  
MOHSEN GOLALIKHANI ◽  
REZA TAVAKKOLI-MOGHADDAM

The electromagnetism-like method (EM) is a population based meta-heuristic algorithm utilizing an attraction-repulsion mechanism to move sample points (i.e., our solutions) towards the optimality. In general, the EM has been initially used for solving continuous optimization problems and could not be applied on combinatorial optimization ones. This paper proposes a discrete binary version of the EM for solving combinatorial optimization problems. To show the efficiency of our proposed EM, we solve a single machine scheduling problem and compare our computational results with the solutions reported in the literature. Finally, we conclude that our proposed method is capable of solving such well-known problems more efficiently than the previous studies.


2009 ◽  
Vol 50 ◽  
Author(s):  
Lina Rajeckaitė ◽  
Narimantas Listopadskis

The combinatorial optimization problem considered in this paper is flow shop scheduling problem arising in logistics, management, business, manufacture and etc. A set of machines and a set of jobs are given. Each job consists of a set of operations. Machines are working with unavailability intervals. The task is to minimize makespan, i.e. the overall length of the schedule. There is overview of combinatorial optimization, scheduling problems and methods used to solve them. There is also presented and realized one exact algorithm – Branch and Bound, and two meta-heuristics: Simulated Annealing and Tabu Search. Analysis of these three algorithms is made.


Sign in / Sign up

Export Citation Format

Share Document