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  • 标题:Superlinear Relative Speedup of the Service Layered Utility Maximization Model for Dynamic Webservice Composition in Virtual Organizations
  • 本地全文:下载
  • 作者:Abiud Wakhanu Mulongo ; Elisha Abade ; Elisha T. O. Opiyo
  • 期刊名称:International Journal of Computer and Information Technology
  • 印刷版ISSN:2279-0764
  • 出版年度:2016
  • 卷号:5
  • 期号:4
  • 页码:1-10
  • 出版社:International Journal of Computer and Information Technology
  • 摘要:Dynamic webservice composition (DWSC) is a promising technology in supporting Virtual organizations to autogenerate composite services that maximize the utility of Internet commerce service consumers over a range of the consumer’s QoS constraints. However, over the last decade DWSC remains a non polynomial deterministic problem, making its industrial application limited. Local planning approaches to the problem guarantee solutions in polynomial time but lack capabilities to solve for inter workflow task constraints that could be critical to a service consumer. The inability of local planning algorithms to capture global constraints means that the techniques are likely to yield low quality solutions. Among the existing global planning approaches, mixed integer programming (MIP) has been found to be the best tradeoff in guaranteeing global quality of solutions albeit with the possibility of solutions being generated in exponential time. This makes MIP techniques limited for small scale problems. In [23] we proposed SLUM, a technique that combines the relative advantages of local planning and MIP to achieve solutions that are more efficient but 5% less quality than MIP, but 5% more quality than the local planning approach [25]. However, it remains unknown whether or not SLUM could be more efficient than the standard MIP (S-MIP) in the absence of service elimination in layer 1 of the optimization process, leading to the question, can SLUM exhibit superlinear speedup relative to S-MIP? Using formal mathematical analysis, this study established that SLUM can be more efficient up to a maximum of 2k-1 times than S-MIP, where k is the number of sequential workflow tasks. Further, using experimentation with differential calculus and empirical relative complexity coefficients for analysis , the study established that it would take 3 years to achieve a superlinear speedup of 2k-1 times when k=2 and a speedup of 1.5 times in 28 hours. The conclusion is that even in the absence of webservice elimination, virtual enterprise brokers can still benefit from the relative efficiency gains of SLUM up to a practical limit of 50% over S.
  • 关键词:Web Service Composition; Virtual Organizations; Decomposition; Superlinear; Optimization; Mixed Integer Programming; Service Layered Utility Maximization; Empirical Complexity
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