Wiesemann, Wolfram
Kuhn, Daniel
Rustem, Berç
Robust resource allocations in temporal networks
Mathematical Programming
Mathematical Programming
Mathematical Programming
Mathematical Programming
135
1-2
Robust optimisation
Temporal networks
Resource allocation problem
90-02
90B15
90C25
2012
2012
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 task durations are 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 on 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.
1436-4646
Mathematical Programming
Journal Articles
10.1007/s10107-011-0478-7