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Worst-case relative regret algorithm for task allocation in complex operation system

Józefczyk J.

Systems Science

2005

Vol. 31, no 2

57-66

The uncertain version of a task allocation problem in a complex of independent operations is considered. The parameters in models of the operations are assumed to belong to given intervals. The objective is to find a time-optimal robust solution in terms of the worst-case relative regret function. The optimal worst-case relative regret task allocation algorithm is presented. It consists in reducing the problem with uncertain input data to a number of deterministic problems whose solution algorithms are known. Special cases and a simple example for the polynomial models of the operations illustrate the solution algorithm.