PENERAPAN CUCKOO SEARCH ALGORITHM (CSA) UNTUK MENYELESAIKAN UNCAPACITATED FACILITY LOCATION PROBLEM (UFLP)

The aim of this research is to solve Uncapacitated Facility Location Problem (UFLP) using Cuckoo Search Algorithm (CSA). UFLP involves n locations and facilities to minimize the sum of the fixed setup costs and serving costs of m customers. In this problem, it is assumed that the built facilities have no limitations in serving customers, all request from each customers only require on facility, and one location only provides one facility. The purpose of the UFLP is to minimize the total cost of building facilities and customer service costs. CSA is an algorithm inspired by the parasitic nature of some cuckoo species that lay their eggs in other host birds nests. The Cuckoo Search Algorithm (CSA) application  program for resolving Uncapacitated Facility Location Problems (UFLP) was made by using Borland C ++ programming language implemented in two sample cases namely small data and big data. Small data contains 10 locations and 15 customers, while big data consists 50 locations and 50 customers. From the computational results, it was found that higher number of nests and iterations lead to minimum total costs. Smaller value of p a brought to better solution of UFLP.

[1]  Zhongyuan Liang,et al.  Cuckoo Search Algorithm with Hybrid Factor Using Dimensional Distance , 2016 .

[2]  Fatih Tasgetiren,et al.  Artificial Bee Colony Optimization Algorithm for Uncapacitated Facility Location Problems , 2012 .

[3]  Pinar Civicioglu,et al.  Comparative Analysis of the Cuckoo Search Algorithm , 2014 .

[4]  Mehmet Sevkli,et al.  A discrete particle swarm optimization algorithm for uncapacitated facility location problem , 2008 .

[5]  C. Lanczos,et al.  A Precision Approximation of the Gamma Function , 1964 .

[6]  Ana Maria A. C. Rocha,et al.  A simplified binary artificial fish swarm algorithm for uncapacitated facility location problems , 2013 .

[7]  Xin-She Yang,et al.  Cuckoo Search via Lévy flights , 2009, 2009 World Congress on Nature & Biologically Inspired Computing (NaBIC).

[8]  R. Mantegna,et al.  Fast, accurate algorithm for numerical simulation of Lévy stable stochastic processes. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  Arnab Kole,et al.  An Ant Colony Optimization Algorithm for Uncapacitated Facility Location Problem , 2014 .

[10]  Dana Vrajitoru,et al.  Practical Analysis of Algorithms , 2014, Undergraduate Topics in Computer Science.

[11]  Ali Kaveh,et al.  Optimum design of steel frames using Cuckoo Search algorithm with Lévy flights , 2013 .

[12]  K. Diethelm The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type , 2010 .