Title
A new model and algorithm for uncertain random parallel machine scheduling problem
Abstract
The paper presents a new model for uniform parallel machine scheduling problem with uncertainty and randomness simultaneously for processing times of jobs based on chance theory. The objective of the model is to minimize expected completion time. The constraint of the model is that uncertain random completion time of scheduling is less than or equal to expected completion time. The model is transformed to a crisp non-deterministic polynomial hard mathematical programming model based on chance theory. Firstly, simulation techniques of the objective function and the left chance constraint are proposed. Then, two heuristic methods to solve the crisp model are presented. Finally, they are integrated into two hybrid intelligent algorithms for searching the quasi-optimal schedule. Besides, the effectiveness of the model and its hybrid intelligent algorithms are verified by a numerical example generated randomly.
Year
DOI
Venue
2019
10.1007/s00500-018-3304-9
soft computing
Keywords
Field
DocType
Parallel machine scheduling, Uncertainty theory, Chance theory, Uncertain random programming, Hybrid intelligent algorithm
Mathematical optimization,Heuristic,Machine scheduling,Polynomial,Computer science,Scheduling (computing),Intelligent algorithms,Algorithm,Randomness,Uncertainty theory
Journal
Volume
Issue
ISSN
23.0
15.0
1433-7479
Citations 
PageRank 
References 
0
0.34
35
Authors
3
Name
Order
Citations
PageRank
Weimin Ma142726.76
Yang Liu200.34
Xingfang Zhang3305.21