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Journal of Applied Mathematics
Volume 2015, Article ID 820430, 15 pages
http://dx.doi.org/10.1155/2015/820430
Research Article

Multisorted Tree-Algebras for Hierarchical Resources Allocation

Department of Computer Science and Educational Technology, Higher Teachers Training College, University of Yaoundé I, Yaoundé, Cameroon

Received 2 December 2014; Revised 13 April 2015; Accepted 29 April 2015

Academic Editor: Robert J. Smith?

Copyright © 2015 Erick Patrick Zobo and Marcel Fouda Ndjodo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. T. van Zandt, “Hierarchical computation of the resource allocation problem,” European Economic Review, vol. 39, no. 3-4, pp. 700–708, 1995. View at Publisher · View at Google Scholar · View at Scopus
  2. T. van Zandt, Structure and Returns to Scale of Real-Time Hierarchical Resource Allocation, INSEAD, 2003.
  3. S. E. Humphrey, J. R. Hollenbeck, C. J. Meyer, and D. R. Ilgen, “Hierarchical team decision making,” Research in Personnel and Human Resources Management, vol. 21, pp. 175–214, 2002. View at Google Scholar
  4. J. Ferber, O. Gutknecht, and F. Michel, “From agents to organizations: an organizational view of multi-agent systems,” in Agent-Oriented Software Engineering IV: 4th InternationalWorkshop, AOSE 2003, Melbourne, Australia, July 15, 2003. Revised Papers, P. Giorgini, J. Müller, and J. Odell, Eds., vol. 2935 of Lecture Notes in Computer Science, pp. 214–230, Springer, Berlin, Germany, 2004. View at Publisher · View at Google Scholar
  5. N. Altay, “Capability-based resource allocation for effective disaster response,” IMA Journal of Management Mathematics, vol. 24, no. 2, pp. 253–266, 2013. View at Publisher · View at Google Scholar · View at Scopus
  6. N. Wang, B. Wei, H.-W. Zhang, and J.-D. Wang, “Hierarchical structure resource scheduling model based on grid,” in Proceedings of the National Conference on Information Technology and Computer Science (CITCS '12), pp. 998–1003, November 2012. View at Scopus
  7. A. Green, B. Ali, A. Naeem, and D. Ross, “Resource allocation and budgetary mechanisms for decentralized health systems: experiences from Balochistan, Pakistan,” Bulletin of the World Health Organization, vol. 78, no. 8, pp. 1024–1035, 2000. View at Google Scholar · View at Scopus
  8. M. Bennour, D. Crestani, and O. Crespo, “Une méthode d'affectation des ressources humaines aux processus industriels,” Journal Européen des Systèmes Automatisés, vol. 42, no. 5, pp. 541–577, 2008. View at Publisher · View at Google Scholar
  9. M. Zeynalian, G. Jandaghi, A. Memariani, and H. Jahanshahi, “Designing a multi-purpose optimization model for budget allocation using a hierarchical approach,” European Journal of Economics, Finance and Administrative Sciences, no. 25, pp. 126–135, 2010. View at Google Scholar · View at Scopus
  10. W. Ogryczak, A. Wierzbicki, and M. Milewski, “A multi-criteria approach to fair and efficient bandwidth allocation,” Omega, vol. 36, no. 3, pp. 451–463, 2008. View at Publisher · View at Google Scholar · View at Scopus
  11. T. Ensor, H. Firdaus, D. Dunlop et al., “Budgeting based on need: a model to determine sub-national allocation of resources for health services in Indonesia,” Cost Effectiveness and Resource Allocation, vol. 10, article 11, 2012. View at Publisher · View at Google Scholar · View at Scopus
  12. Y. Chavaleyre, P. E. Dunne, U. Endriss et al., “Issues in multiagent resource allocation,” Informatica, vol. 30, no. 1, pp. 3–31, 2006. View at Google Scholar
  13. C. Joe-Wong, S. Sen, T. Lan, and M. Chiang, “Multi-resource allocation: Fairness-efficiency tradeoffs in a unifying framework,” in Proceedings of the IEEE Conference on Computer Communications (INFOCOM '12), pp. 1206–1214, Orlando, Fla, USA, March 2012. View at Publisher · View at Google Scholar · View at Scopus
  14. S. Zikos and H. D. Karatza, “Resource allocation strategies in a 2-level hierarchical grid system,” in Proceedings of the 41st Annual Simulation Symposuim, pp. 157–164, April 2008. View at Publisher · View at Google Scholar · View at Scopus
  15. H. Lee, B. Lee, K. Park, and R. Elmasri, “Fusion techniques for reliable information: a survey,” International Journal of Digital Content Technology and Its Applications, vol. 4, no. 2, pp. 74–88, 2010. View at Publisher · View at Google Scholar
  16. H. Boström, S. F. Andler, M. Brohede et al., “On the definition of information fusion as a field of research,” Tech. Rep. HS-IKI-TR-07-006, Informatics Research Centre, University of Skövde, 2007. View at Google Scholar
  17. T. Van Zandt, “Real-time hierarchical resource allocation,” Discussion Papers 1231, Northwestern University, Center for Mathematical Studies in Economics and Management Science, 1997, http://www.kellogg.northwestern.edu/research/math/papers/1231.pdf. View at Google Scholar
  18. M. Bennour, Contribution à la modélisation et à l'affectation des ressources humaines dans les processus [Thèse de doctorat], Université de Montpellier 2, 2004.
  19. D. Simba, N. Mwangu, and G. Msamanga, “Rationalizing human resource deployment in the wake of reforms: the need for measuring health workers workload,” Tanzania Medical Journal, vol. 19, no. 2, 2004. View at Google Scholar
  20. J. M. Bryson, F. Ackermann, and C. Eden, “Putting the resource-based view of strategy and distinctive competencies to work in public organizations,” Public Administration Review, vol. 67, no. 4, pp. 702–717, 2007. View at Publisher · View at Google Scholar · View at Scopus
  21. E. P. Zobo and N. M. Fouda, “Multisorted tree algebra,” Applied and Computational Mathematics, vol. 3, no. 6, pp. 295–302, 2014. View at Publisher · View at Google Scholar
  22. K. Denecke and S. L. Wismath, Universal Algebra and Applications in Theoretical Computer Science, Chapman & Hall, CRC Press, 2002.
  23. M. S. Levin and M. A. Danieli, “Hierarchical decision making framework for evaluation and improvement of composite systems (example for building),” Informatica, vol. 16, no. 2, pp. 213–240, 2005. View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  24. M. D. Lee, “A hierarchical Bayesian model of human decision-making on an optimal stopping problem,” Cognitive Science, vol. 30, no. 3, pp. 1–26, 2006. View at Publisher · View at Google Scholar · View at Scopus
  25. W.-C. Huang, J.-Y. Teng, and M.-C. Lin, “The budget allocation model of public infrastructure projects,” Journal of Marine Science and Technology, vol. 18, no. 5, pp. 697–708, 2010. View at Google Scholar · View at Scopus
  26. W.-H. Tsai, “Quality cost measurement under activity-based costing,” International Journal of Quality & Reliability Management, vol. 15, no. 7, pp. 719–752, 1998. View at Publisher · View at Google Scholar · View at Scopus
  27. R. Buyya, D. Abramson, J. Giddy, and H. Stockinger, “Economic models for resource management and scheduling in grid computing,” Concurrency Computation: Practice and Experience, vol. 14, no. 13-15, pp. 1507–1542, 2002. View at Publisher · View at Google Scholar · View at Scopus
  28. H.-M. Lee, J.-S. Su, and C.-H. Chung, “Resource allocation analysis model based on grid environment,” International Journal of Innovative Computing, Information and Control, vol. 7, no. 5, pp. 2099–2108, 2011. View at Google Scholar · View at Scopus
  29. M. Engwall and A. Jerbrant, “The resource allocation syndrome: the prime challenge of multi-project management?” International Journal of Project Management, vol. 21, no. 6, pp. 403–409, 2003. View at Publisher · View at Google Scholar · View at Scopus
  30. J. Circulis, “A first-order logic for multi-algebras,” in Proceedings of the Novi Sad Algebraic Conference, vol. 34, pp. 27–36, 2004.