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Minmax multi-period resources allocation problem with weighted substitutable resources

Author

Listed:
  • Mohamed Esalah Salah
  • Slah Ben Youssef
  • Abdelwaheb Rebai

Abstract

Minmax multi-period resources allocation problem with weighted substitutable resources is concerned with the allocation of m resources (wealth, working opportunities, healthcare, alimentary needs) among n users during t periods. The objective of this problem is to minimise the maximum performance function, knowing that certain weighted substitution between resources is possible. Today, one of the most controversial questions is how to allocate the limited amount of resources among competing users in order to realise justice between users. This question indicates that we are searching for methods to realise fairness in the allocation of limited resources. In this paper, we study some variants of minmax resources allocation problems. Then, we present the principles of distributive justice and we propose the model to formulate the minmax multi-period resources allocation problem with weighted substitutable resources. Finally, we propose an exact algorithm to solve our formulated model and we present a numerical example to test our algorithm. The obtained result is considered as a motivation to solve a real instance.

Suggested Citation

  • Mohamed Esalah Salah & Slah Ben Youssef & Abdelwaheb Rebai, 2015. "Minmax multi-period resources allocation problem with weighted substitutable resources," International Journal of Agricultural Resources, Governance and Ecology, Inderscience Enterprises Ltd, vol. 11(1), pages 45-62.
    • Handle: RePEc:ids:ijarge:v:11:y:2015:i:1:p:45-62
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