In the Capacitated Facility Location Problem (CFLP) the goal is to optimally place facilities at the vertices of a transportation network graph in order to minimize the total facility opening and transportation costs ...
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ISBN:
(纸本)9781728129860
In the Capacitated Facility Location Problem (CFLP) the goal is to optimally place facilities at the vertices of a transportation network graph in order to minimize the total facility opening and transportation costs while considering additional restrictions on the facility capacities. The general problem is NP-hard. In this paper we study a special case of the CFLP, where the input transportation network graph is a line graph. We show how to improve the running-time of the best known pseudopolynomial-time algorithm for the CFLP on a line graph from [Mirchandani et al., 1996] by one order.
We study the network facility location problem with constraints on the capacities of communication lines, called Restricted Facility Location Problem (RFLP). It is required to locate facilities at the vertices of a gi...
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We study the network facility location problem with constraints on the capacities of communication lines, called Restricted Facility Location Problem (RFLP). It is required to locate facilities at the vertices of a given network graph so as to simultaneously satisfy at minimum cost the demands of customers located at the vertices of the graph. We consider two statements of the problem: the multiple allocation RFLP, where the demand of a customer can be satisfied jointly by several facilities, and the single allocation RFLP, where the demand of a customer must be entirely satisfied by a single facility. We show that the single allocation RFLP is NP-hard even if the network is a simple path and strongly NP-hard if the network is a tree. The multiple allocation RFLP is weakly NP-hard on trees. For this problem, we propose a pseudopolynomial-time algorithm for the case where the network graph has constant treewidth and a linear-timealgorithm for the case where the network is a simple path.
In the Capacitated Facility Location Problem (CFLP) the goal is to optimally place facilities at the vertices of a transportation network graph in order to minimize the total facility opening and transportation costs ...
详细信息
ISBN:
(纸本)9781728129877
In the Capacitated Facility Location Problem (CFLP) the goal is to optimally place facilities at the vertices of a transportation network graph in order to minimize the total facility opening and transportation costs while considering additional restrictions on the facility capacities. The general problem is NP-hard. In this paper we study a special case of the CFLP, where the input transportation network graph is a line graph. We show how to improve the running-time of the best known pseudopolynomial-time algorithm for the CFLP on a line graph from [Mirchandani et al., 1996] by one order.
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