Title
Hybrid Nested Partitions and Mathematical Programming Approach and Its Applications
Abstract
Large-scale discrete optimization problems are difficult to solve, especially when different kinds of real constraints are considered. Conventionally, standard mathematical programming is a general approach for discrete optimization, but may suffer from the unacceptable long solution time in applications. On the other hand, some heuristics/metaheuristics methods are more powerful in finding approximate solutions efficiently, but mostly are problem and constraint dependent. In this paper, we develop a new hybrid nested partitions and mathematical programming approach, which creates compliance between mathematical programming and the heuristics/metaheuristics methods. Potentially applicable to many different types of problems, the hybrid approach can provide approximate solutions efficiently, and in the meantime can easily handle different kinds of constraints. The applications of the hybrid approach to the local pickup and delivery problem (LPDP) and the discrete facility location problem (DFLP) are presented in this paper.
Year
DOI
Venue
2008
10.1109/TASE.2008.916761
IEEE T. Automation Science and Engineering
Keywords
Field
DocType
Mathematical programming,Constraint optimization,Partitioning algorithms,Systems engineering and theory,Algorithm design and analysis,Contracts,Intelligent systems,Intelligent networks,Electronic mail,Large-scale systems
Mathematical optimization,Algorithm design,Computer science,Discrete optimization,Facility location problem,Combinatorial optimization,Heuristics,Local search (optimization),Metaheuristic,Constrained optimization
Journal
Volume
Issue
ISSN
5
4
1545-5955
Citations 
PageRank 
References 
16
0.93
28
Authors
3
Name
Order
Citations
PageRank
Liang Pi1242.26
Yunpeng Pan217513.01
Leyuan Shi336151.32