In this paper we introduce a new facility location model, called backup multifacility location problem by considering the ideal radius for each customer. In this problem the location of clients are given in the plane. A radius is assigned to each client. We should find the location of new facilities, which some of them may fail with a given probability, such that the sum of weighted distances f...

We give a concentration inequality for stochastic version of the facility location problem. show objective Cn=minF?[0,1]2?|F|+?x?Xminf?F??x?f? is concentrated in an interval length O(n1/6) and E[Cn]=?(n2/3) if input X consists i.i.d. uniform points unit square. Our main tool to use geometric quantity, previously used design approximation algorithms problem, analyze martingale process. Many our ...

recently the concept of facility efficiency, which defined by data envelopment analysis (dea), introduced as a location modeling objective, that provides facilities location’s effect on their performance in serving demands. by combining the dea models with the location problem, two types of “efficiencies” are optimized: spatial efficiency which measured by finding the least cost location and al...

The capacitated mobile facility location problem (CMFLP) arises in logistics planning of community outreach programs delivered via mobile facilities. It adds capacity restrictions to the mobile facility location problem introduced previously by Demaine et al. [2009], thereby extending the problem to a practical setting. In the problem, one seeks to relocate (or move) a set of existing facilitie...

• Let L be a set of locations. • Let F ⊂ L be a set of potential facility locations. • Let C ⊂ L be a set of clients (cities). • Let c : L × L → R ∀i, j ∈ L be a distance function. Alternatively think of the function as describing the cost of assigning city j to facility i. • Let f : F → R ∀i ∈ F be a cost function describing the cost of opening a facility at i. • Let φ : C → F ∀j ∈ C be an ass...

This study presents an endeavor to determine an optimal solution for the obnoxious facility location problem. Obnoxious materials are those which may cause harm to the health of human beings and pollute the environment. The obnoxious material management is a significant environmental issue. Since the social economical growth encourages to establishment of industrialization. While the waste mate...

In this paper we propose the Online Connected Facility Location problem (OCFL), which is an online version of the Connected Facility Location problem (CFL). The CFL is a combination of the Uncapacitated Facility Location problem (FL) and the Steiner Tree problem (ST). We give a randomized O(log n)-competitive algorithm for the OCFL via the sample-and-augment framework of Gupta, Kumar, Pál, and ...

This work deals with a facility location problem in which location and allocation (transportation) policy is defined in two stages such that a first-stage solution should be robust against the possible realizations (scenarios) of the input data that can only be revealed in a second stage. This solution should be robust enough so that it can be recovered promptly and at low cost in the second st...