LAGRANGIAN RELAXATION APPROACH FOR CAPACITATED P-CENTER PROBLEM WITH BACKUP CENTER AND BUDGET CONSTRAINT

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REZAEE NIK EBRAHIM; Hasanzadeh Ataei Reza

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Seminar Paper

Paper Information

Seminar: INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING
Year:2017 | Issue:13

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Title

LAGRANGIAN RELAXATION APPROACH FOR CAPACITATED P-CENTER PROBLEM WITH BACKUP CENTER AND BUDGET CONSTRAINT

Author(s)

REZAEE NIK EBRAHIM | Hasanzadeh Ataei Reza

Keywords

P-CENTER PROBLEM

CAPACITATED P-CENTER PROBLEM

LAGRANGIAN RELAXATION

Abstract

THE P-CENTER PROBLEM INVOLVES DETERMINATION OF LOCATIONS OF P FACILITIES WHILE MINIMIZING THE MAXIMUM DISTANCE BETWEEN DEMAND POINTS AND FACILITIES. THE MAIN APPLICATION AREAS OF P-CENTER PROBLEM ARE EMERGENCY SERVICE LOCATIONS SUCH AS FIRE AND POLICE STATIONS, HOSPITALS AND AMBULANCE SERVICES. THIS PAPER DEALS WITH A GENERALIZED VERSION OF THE CAPACITATED P-CENTER PROBLEM. THE MODEL TAKES INTO ACCOUNT THE POSSIBILITY THAT A CENTER MIGHT SUFFER A DISRUPTION AND ASSUMES THAT EVERY SITE WILL BE COVERED BY ITS CLOSEST AVAILABLE CENTER. WE PRESENT THE MATHEMATICAL MODEL AND USE LAGRANGIAN RELAXATION FOR OBTAINING THE SUITABLE LOWER BOUND. ALSO, THE CPLEX SOLVER AND LAGRANGIAN RELAXATION METHOD USED TO SOLVE THE MODEL AND HIGH PERFORMANCE OF THE LAGRANGIAN RELAXATION METHOD IS SHOWN IN NUMERICAL EXAMPLE.

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APA: Copy

REZAEE NIK, EBRAHIM, & Hasanzadeh Ataei, Reza. (2017). LAGRANGIAN RELAXATION APPROACH FOR CAPACITATED P-CENTER PROBLEM WITH BACKUP CENTER AND BUDGET CONSTRAINT. INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING. SID. https://sid.ir/paper/938720/en

Vancouver: Copy

REZAEE NIK EBRAHIM, Hasanzadeh Ataei Reza. LAGRANGIAN RELAXATION APPROACH FOR CAPACITATED P-CENTER PROBLEM WITH BACKUP CENTER AND BUDGET CONSTRAINT. 2017. Available from: https://sid.ir/paper/938720/en

IEEE: Copy

EBRAHIM REZAEE NIK, and Reza Hasanzadeh Ataei, “LAGRANGIAN RELAXATION APPROACH FOR CAPACITATED P-CENTER PROBLEM WITH BACKUP CENTER AND BUDGET CONSTRAINT,” presented at the INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING. 2017, [Online]. Available: https://sid.ir/paper/938720/en

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