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Robust Resource Allocations in Temporal Networks

Author

Listed:
  • Wolfram Wiesemann
  • Daniel Kuhn
  • Berc Rustem

Abstract

Temporal networks describe workflows of time-consuming tasks whose processing order is constrained by precedence relations. In many cases, the durations of the network tasks can be influenced by the assignment of resources. This leads to the problem of selecting an ‘optimal’ resource allocation, where optimality is measured by network characteristics such as the makespan (i.e., the time required to complete all tasks). In this paper, we study a robust resource allocation problem where the functional relationship between task durations and resource assignments is uncertain, and the goal is to minimise the worst-case makespan. We show that this problem is generically NP-hard. We then develop convergent bounds for the optimal objective value, as well as feasible allocations whose objective values are bracketed by these bounds. Numerical results provide empirical support for the proposed method.

Suggested Citation

  • Wolfram Wiesemann & Daniel Kuhn & Berc Rustem, 2009. "Robust Resource Allocations in Temporal Networks," Working Papers 020, COMISEF.
    • Handle: RePEc:com:wpaper:020
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    References listed on IDEAS

    as
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    Keywords

    Robust Optimisation; Temporal Networks; Resource Allocation Problem;
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