Undesirable facility location using Lagrangian relaxation method

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Pakravan Parisima; BEHNAMIAN JAVAD

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Paper Information

Journal: JOURNAL OF INDUSTRIAL MANAGEMENT STUDIES Year:2019 | Volume:17 | Issue:53 Page(s): 81-108

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Title

Undesirable facility location using Lagrangian relaxation method

Author(s)

Pakravan Parisima | BEHNAMIAN JAVAD | Issue Writer Certificate

Keywords

Facility locationQ2

Undesirable facilitiesQ1

Lagrangian RelaxationQ1

Abstract

Overally location problem could be classified as desirable Facility location and undesirable Facility location. In the undesirable Facility location problem contrary to desirable location, facilities are located far from service receiver facilities as much as possible. The problem of locating such facilities is discussed in this paper. This research is focused on the “ not in my backyard” (NIMBY) which refers to the social phenomena in which residents are opposed to locate Undesirable facilities around their houses. Examples of such facilities include electric transmission lines and recycling centers. Due to the opposition typically encountered in constructing an undesirable facility, the facility planner should understand the nature of the NIMBY phenomena and consider it as a key factor in the determining Facility location. A integer linear model of this problem and a Lagrange relaxation method are proposed in this research. This method relaxes up the hard constraints and adds the constraints to the objective function with a Lagrangian multiplier. To show that the Lagrangian Relaxation method is computationally powerful exact solution algorithm and is capable to solve the medium-size problems, the performance of the proposed algorithm is examined by applying it to several test problems.

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APA: Copy

Pakravan, Parisima, & BEHNAMIAN, JAVAD. (2019). Undesirable facility location using Lagrangian relaxation method. JOURNAL OF INDUSTRIAL MANAGEMENT STUDIES, 17(53 ), 81-108. SID. https://sid.ir/paper/213124/en

Vancouver: Copy

Pakravan Parisima, BEHNAMIAN JAVAD. Undesirable facility location using Lagrangian relaxation method. JOURNAL OF INDUSTRIAL MANAGEMENT STUDIES[Internet]. 2019;17(53 ):81-108. Available from: https://sid.ir/paper/213124/en

IEEE: Copy

Parisima Pakravan, and JAVAD BEHNAMIAN, “Undesirable facility location using Lagrangian relaxation method,” JOURNAL OF INDUSTRIAL MANAGEMENT STUDIES, vol. 17, no. 53 , pp. 81–108, 2019, [Online]. Available: https://sid.ir/paper/213124/en

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