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In this paper, we consider the robust facility leasing problem (RFLE), which is a variant of the well-known facility leasing problem. In this problem, we are given a facility location set, a client location set of cardinality n, time periods $$\{1, 2, \ldots , T\}$$ {1,2,…,T} and a nonnegative integer $$q < n$$ q<n . At each time period t, a subset of clients $$D_{t}$$ Dt arrives. There are...
In this article, we investigate the dynamic (multi-period) facility location problem with potentially unserved clients or outliers. We propose a 3-approximation primal-dual algorithm based on an integer linear program formulation of the problem. We further improve the approximation ratio to 2 by combining the cost scaling and greedy improvement techniques.
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