extension of the maximal covering location-allocation...

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Extension of the Maximal Covering Location-Allocation Model for Congested System in the Competitive and User- Choice Environment N. Zarrinpoor, H. Shavandi*, J. Bagherinejad Naeme Zarrinpoor, Student of MS Industrial Eng- Alzahra University Hassan Shavandi, Assistance professor of Industrial Eng- Sharif University of Technology Jafar Bagherinejad, Assistance professor of Industrial Eng- Alzahra University Keywords 1 ABSTRACT The main objective of facilities location and service system design is covering of potential customersdemand. Many location models are extended with the covering objective and considered constraints, details of problem and its different aspects. In this paper the maximal covering location-allocation model for congested system is extended in the competitive environment. In the proposed model, several important characteristics such as spatial interaction model, congestion, the competitive user-choice environment and probabilistic demand are considered. The objective of the model is maximization of the demand captured by each facility in the competitive environment. The optimization software of lingo 8 and the genetic algorithm are used for solving the small-size problems. Due to the complexity of problem and its nonlinear nature, the software of lingo 8 cant solved the large-size problems and the genetic algorithm is applied to solve the larger size problems. Numerical results verify the effectiveness of proposed algorithm for solving the model and show that the use of queuing theory in service system design can improve different service strategies, promote organization’s business process and increase customers satisfaction. © 2012 IUST Publication, IJIEPM. Vol. 22, No. 4, All Rights Reserved * Corresponding author. Hassan Shavandi Email: [email protected] March 2012, Volume 22, Number 4 pp. 393-404 http://IJIEPM.iust.ac.ir/ International Journal of Industrial Engineering & Production Management (2012) Facility location, Competitive environment, Congestion, User-choice environment, Genetic algorithm

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Extension of the Maximal Covering Location-Allocation

Model for Congested System in the Competitive and User-

Choice Environment

N. Zarrinpoor, H. Shavandi*, J. Bagherinejad

Naeme Zarrinpoor, Student of MS Industrial Eng- Alzahra University Hassan Shavandi, Assistance professor of Industrial Eng- Sharif University of Technology

Jafar Bagherinejad, Assistance professor of Industrial Eng- Alzahra University

Keywords 1ABSTRACT

The main objective of facilities location and service system design is

covering of potential customers’ demand. Many location models are

extended with the covering objective and considered constraints,

details of problem and its different aspects. In this paper the maximal

covering location-allocation model for congested system is extended

in the competitive environment. In the proposed model, several

important characteristics such as spatial interaction model,

congestion, the competitive user-choice environment and probabilistic

demand are considered. The objective of the model is maximization of

the demand captured by each facility in the competitive environment.

The optimization software of lingo 8 and the genetic algorithm are

used for solving the small-size problems. Due to the complexity of

problem and its nonlinear nature, the software of lingo 8 cant solved

the large-size problems and the genetic algorithm is applied to solve

the larger size problems. Numerical results verify the effectiveness of

proposed algorithm for solving the model and show that the use of

queuing theory in service system design can improve different service

strategies, promote organization’s business process and increase

customer’s satisfaction.

© 2012 IUST Publication, IJIEPM. Vol. 22, No. 4, All Rights Reserved

**

Corresponding author. Hassan Shavandi Email: [email protected]

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Genetic algorithm

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