Hybrid improved cuckoo search algorithm and genetic algorithm for solving Markov-modulated demand
RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 473-497.

One of the fundamental problems in supply chain management is to design the effective inventory control policies for models with stochastic demands because efficient inventory management can both maintain a high customers’ service level and reduce unnecessary over and under-stock expenses which are significant key factors of profit or loss of an organization. In this study, a new formulation of an inventory system is analyzed under discrete Markov-modulated demand. We employ simulation-based optimization that combines simulated annealing pattern search and ranking selection (SAPS&RS) methods to approximate near-optimal solutions of this problem. After determining the values of demand, we employ novel approach to achieve minimum cost of total SCM (Supply Chain Management) network. In our proposed approach, hybrid improved cuckoo search algorithm (ICS) and genetic algorithm (GA) are presented as main platform to solve this problem. The computational results demonstrate the effectiveness and applicability of the proposed approach.

DOI : 10.1051/ro/2017076
Classification : 90B05, 91B74
Mots-clés : Improved cuckoo search algorithm, genetic algorithm, Markov chain Monte Carlo procedure, stochastic demand, inventory control
Jamali, Gholamreza 1 ; Sana, Shib Sankar 1 ; Moghdani, Reza 1

1
@article{RO_2018__52_2_473_0,
     author = {Jamali, Gholamreza and Sana, Shib Sankar and Moghdani, Reza},
     title = {Hybrid improved cuckoo search algorithm and genetic algorithm for solving {Markov-modulated} demand},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {473--497},
     publisher = {EDP-Sciences},
     volume = {52},
     number = {2},
     year = {2018},
     doi = {10.1051/ro/2017076},
     mrnumber = {3880539},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/ro/2017076/}
}
TY  - JOUR
AU  - Jamali, Gholamreza
AU  - Sana, Shib Sankar
AU  - Moghdani, Reza
TI  - Hybrid improved cuckoo search algorithm and genetic algorithm for solving Markov-modulated demand
JO  - RAIRO - Operations Research - Recherche Opérationnelle
PY  - 2018
SP  - 473
EP  - 497
VL  - 52
IS  - 2
PB  - EDP-Sciences
UR  - http://archive.numdam.org/articles/10.1051/ro/2017076/
DO  - 10.1051/ro/2017076
LA  - en
ID  - RO_2018__52_2_473_0
ER  - 
%0 Journal Article
%A Jamali, Gholamreza
%A Sana, Shib Sankar
%A Moghdani, Reza
%T Hybrid improved cuckoo search algorithm and genetic algorithm for solving Markov-modulated demand
%J RAIRO - Operations Research - Recherche Opérationnelle
%D 2018
%P 473-497
%V 52
%N 2
%I EDP-Sciences
%U http://archive.numdam.org/articles/10.1051/ro/2017076/
%R 10.1051/ro/2017076
%G en
%F RO_2018__52_2_473_0
Jamali, Gholamreza; Sana, Shib Sankar; Moghdani, Reza. Hybrid improved cuckoo search algorithm and genetic algorithm for solving Markov-modulated demand. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 473-497. doi : 10.1051/ro/2017076. http://archive.numdam.org/articles/10.1051/ro/2017076/

[1] K.N. Abdulrani, M.F. Abdul Malek and S.C. Neoh, Nature-inspired Cuckoo search algorithm for side lobe uppression in a symmetric linear antenna array. Radioengineering 21 (2012) 865–874.

[2] A. Abu-Srhan and E.A. Daoud, A hybrid algorithm using a genetic algorithm and cuckoo search algorithm to solve the traveling salesman problem and its application to multiple sequence alignment. Int. J. Adv. Sci. Technol. 61 (2013) 29–38. | DOI

[3] A.M. Alshamrani, Optimal control of a stochastic production-inventory model with deteriorating items. J. King Saud Univ. Sci. 25 (2013) 7–13. | DOI

[4] L. Asadzadeh, A local search genetic algorithm for the job shop scheduling problem with intelligent agents. Comput. Ind. Eng. 85 (2015) 376–383. | DOI

[5] B.M. Beamon and C. Fernandes, Supply-chain network configuration for product recovery. Prod. Plan. Control 13 (2004) 270–281. | DOI

[6] L. Benkherouf and M. Johnson, On a stochastic demand jump inventory model. Math. Comput. Model. 50 (2009) 1218–1228. | DOI | MR | Zbl

[7] L. Bertazzi, A. Bosco and L. Demetrio, Managing stochastic demand in an Inventory Routing Problem with transportation procurement. Omega 56 (2015) 112–121. | DOI

[8] J. Betts, Minimizing inventory costs for capacity-constrained production using a hybrid simulation model. Procedia Comput. Sci. 29 (2014) 759–768. | DOI

[9] A.K. Bhandari, V.K. Singh, A. Kumar and G.K. Singh, Cuckoo search algorithm and wind driven optimization based study of satellite image segmentation for multilevel thresholding using Kapur’s entropy. Expert Syst. Appl. 41 (2014) 3538–3560. | DOI

[10] L.E. Cardenas-Barron, Adaptive genetic algorithm for lot-sizing problem with self-adjustment operation rate: a discussion. Int. J. Prod. Econ. 123 (2010) 243–245. | DOI

[11] L.E. Cardenas-Barron and A.A. Taleizadeh, Hybrid Metaheuristics Algorithms for Inventory Management Problems, in Meta-Heuristics Optimization Algorithms in Engineering, Business, Economics, and Finance (2012).

[12] L. E. Cárdenas-Barrón, A. A. Taleizadeh and G. Treviño-Garza An improved solution to replenishment lot size problem with discontinuous issuing policy and rework, and the multi-delivery policy into economic production lot size problem with partial rework. Expert Syst. Appl. 39 (2012) 13540–13546. | DOI

[13] D. Çelebi, Inventory control in a centralized distribution network using genetic algorithms: a case study. Comput. Ind. Eng. 87 (2015) 532–539. | DOI

[14] F. Chen and J. S. Song, Optimal policies for multiechelon inventory problems with Markov-modulated demand. Oper. Res. 49 (2001) 226–234. | DOI | MR | Zbl

[15] F. Cheng and S. Sethi, Optimality of state-dependent (s, S) policies in inventory models with Markov-modulated demand and lost sales. Prod. Oper. Manag. 8 (1999) 183–192. | DOI

[16] P. Civiciolu, Backtracking search optimization algorithm for numerical optimization problems. Appl. Math. Comput. 219 (2013) 8121–8144. | MR | Zbl

[17] M. Dasroy, S.S. Sana and K.S. Chaudhuri, An economic production lot size model for defective items with stochastic demand, backlogging and rework. IMA J. Manag. Math. 25 (2013) 159–183. | MR | Zbl

[18] R. Diaz and M. Bailey, Building knowledge to improve enterprise performance from inventory simulation models. Int. J. Prod. Econ. 134 (2011) 108–113. | DOI

[19] R. Diaz and B.C. Ezell, A simulation-based optimization approach to a lost sale stochastic inventory mode. Int. J. Oper. Res. Inf. Syst. 3 (2012) 46–63. | DOI

[20] R. Diaz, M.P. Bailey and S. Kumar, Analyzing a lost-sale stochastic inventory model with Markov-modulated demands: a simulation-based optimization study. J. Manuf. Syst. 38 (2016) 1–12. | DOI

[21] M. Dorigo, V. Maniezzo and A. Colorni, The ant system: optimization by a colony of cooperating agents. IEEE Trans. Syst. Man and Cybern. 26 (1996) 29–41. | DOI

[22] S.K.S. Fan and Y.C. Liang, A genetic algorithm and a particle swarm optimizer hybridized with Nelder-Mead simplex search. Comput. Ind. Eng. 50 (2006) 401–425. | DOI

[23] S.K.S. Fan and E. Zahara, A hybrid simplex search and particle swarm optimization for unconstrained optimization. Eur. J. Oper. Res. 181 (2007) 527–548. | DOI | MR | Zbl

[24] M. Fleischmann, P. Beullens, M. Jacqueline, B. Ruwaard and L.N.V. Wassenhove, The impact of product recovery on logistics network design. Oper. Manag. 10 (2001) 156–173.

[25] R.A. Formato, Central force optimization: a new metaheuristic with applications in applied electromagnetics. Progr. Electromagn. Res. 77 (2007) 425–491. | DOI

[26] A.H. Gandomi and A.H. Alavi, Krill herd: a new bio-inspired optimization algorithm. Commun. Nonlinear Sci. Numer. Simul. 17 (2012) 4831–4845. | DOI | MR | Zbl

[27] Z.W. Geem, J.H. Kim and G.V. Loganathan, A new heuristic optimization algorithm: harmony search. Simulation 76 (2001) 60–68. | DOI

[28] W. Hausman and N. Erkip, Multi-echelon vs. single-echelon inventory control policies for low-demand items. Manag. Sci. 40 (1994) 597–602. | DOI | Zbl

[29] S. He, Q.H. Wu and J.R. Saunders, Group search optimizer: an optimization algorithm inspired by animal searching behavior. IEEE Trans. Evol. Comput. 13 (2009) 973–990. | DOI

[30] G. Hurley, P. Jackson, R. Levi and D.B. Shmoys, New policies for stochastic inventory control models: theoretical and computational results. Oper. Res. (2007) 1–34.

[31] K.A. Husseinzadeh, A new metaheuristic for optimization: optics inspired optimization (OIO). Comput. Oper. Res. 55 (2015) 99–125. | DOI | MR | Zbl

[32] G. Kannan, P. Sasikumar and K. Devika, A genetic algorithm approach for solving a closed loop supply chain model: a case of battery recycling. Appl. Math. Model. 34 (2010) 655–670. | DOI | MR | Zbl

[33] J. Kennedy and R.C. Eberhard, Particle swarm optimization-neural networks, in Proceedings of IEEE International Conference on Neural Networks, Piscataway, NJ, USA (1995) 1942–1948.

[34] R.J. Kuo and Y.S. Han, A hybrid of genetic algorithm and particle swarm optimization for solving bi-level linear programming problem – a case study on supply chain model. Appl. Math. Model. 35 (2011) 3905–3917. | DOI | MR | Zbl

[35] R.N. Mantegna, Fast, accurate algorithm for numerical simulation of Levy stable stochastic processes. Phys. Rev. E 49 (1994) 4677–4683. | DOI

[36] H. Min, H.J. Ko and B.I. Park, A Lagrangian relaxation heuristic for solving the multi-echelon, multi-commodity, closed-loop supply chain network design problem. Int. J. Logist. Syst. Manag. 1 (2005) 382–404.

[37] A. Muharremoglu and J. Tsitsiklis, A single unit decomposition approach to multiechelon inventory systems. Oper. Res. 56 (2008) 1089–1103. | DOI | MR | Zbl

[38] A. Natarajan, S. Subramanian and K. Premalatha, An enhanced cuckoo search for optimization of bloom filter in spam filtering. Glob. J. Comput. Sci. Technol. 12 (2012) 75–81.

[39] B. Pal, S.S. Sana and K.S. Chaudhuri, A stochastic inventory model with product recovery. CIRP J. Manuf. Sci. Technol. 6 (2013) 120–127. | DOI

[40] B. Pal, S.S. Sana and K.S. Chaudhuri, A distribution-free newsvendor problem with nonlinear holding cost. Int. J. Syst. Sci. 46 (2015) 1269–1277. | DOI | Zbl

[41] S. Panda, Coordination of a socially responsible supply chain using revenue sharing contract. Transp. Res. E: Logist. Transp. Rev. 67 (2014) 92–104. | DOI

[42] S. Panda, Coordinating two-echelon supply chains under stock and price dependent demand rate. Asia-Pac. J. Oper. Res. 30 (2013) 1250051–20. | DOI | MR | Zbl

[43] K.M. Passino, Biomimicry of bacterial foraging for distributed optimization and control. IEEE Control Syst. Mag. 22 (2002) 52–67. | DOI

[44] J. Pfeifer, K. Baker, J.E. Ramirez-Marquez and N. Morshedlou, Quantifying the risk of project delays with a genetic algorithm. Int. J. Prod. Econ. 170 (2015) 34–44. | DOI

[45] E. Presman and S.P. Sethi, Inventory models with continuous and Poisson demands and discounted and average costs. Prod. Oper. Manag. 55 (2006) 279–293.

[46] R.M. Rao and A.V. Naresh Babu, Optimal power flow using cuckoo search optimization algorithm. Int. J. Adv. Res. Electr. Electron. Instrum. Eng. 2 (2013) 4213–4218.

[47] Y. Rinott, On two-stage selection procedures and related probability inequalities. Commun. Stat. Theory Methods A 7 (1978) 799–811. | DOI | MR | Zbl

[48] A. Roy, S.S. Sana and K.S. Chaudhuri, Optimal replenishment order for uncertain demand in three layer supply chain. Econ. Model. 29 (2012) 2274–2282. | DOI

[49] S.S. Sana, The stochastic EOQ model with random sales price. Appl. Math. Comput. 218 (2011) 239–248. | MR | Zbl

[50] S.S. Sana, Price sensitive demand with random sales price–a newsboy problem. Int. J. Syst. Sci. 43 (2011) 491–498. | DOI | MR | Zbl

[51] S.S. Sana, An EOQ model for stochastic demand for limited capacity of own warehouse. Ann. Oper. Res. 233 (2015) 383–399. | DOI | MR | Zbl

[52] S.S. Sana, Optimal production lot size and reorder point of a two-stage supply chain while random demand is sensitive with sales teams’ initiatives. Int. J. Syst. Sci. 47 (2016) 450–465. | DOI | MR | Zbl

[53] S.S. Sana, G. Herrera-Vidal and J. Acevedo-Chedid, Collaborative model on the agro-industrial supply chain of cocoa. Cybern. Syst. 48 (2017) 325–347. | DOI

[54] B. Sarkar, S.S. Sana and K.S. Chaudhuri, An economic production quantity model with stochastic demand in an imperfect production system. Int. J. Serv. Oper. Manag. 9 (2011) 259–283.

[55] B. Sarkar, K.S. Chaudhuri and I. Moon, Manufacturing setup cost reduction and quality improvement for the distribution free continuous-review inventory model with a service level constraint. J. Manuf. Syst. 34 (2015) 74–82. | DOI

[56] B. Sarkar, C. Zhang, A. Majumder, M. Sarkar and Y.W. Seo, A distribution free newsvendor model with consignment policy and retailer’s royalty reduction. To appear in Int. J. Prod. Res. DOI: (2017). | DOI

[57] A.A. Shaikh, L.E. Cárdenas-Barrón and S. Tiwari, A two-warehouse inventory model for non-instantaneous deteriorating items with interval-valued inventory costs and stock-dependent demand under inflationary conditions. To appear in Neural Comput. Appl. DOI: (2017). | DOI

[58] B. Santosa, R. Damayanti and B. Sarkar, Solving multi-product inventory ship routing with a heterogeneous fleet model using a hybrid cross entropy-genetic algorithm: a case study in Indonesia. Prod. Manuf. Res. 4 (2016) 90–113.

[59] F. Schultmann, B. Engels and O. Rentz, Closed-loop supply chains for spent batteries. Interfaces 33 (2003) 57–71. | DOI

[60] S.P. Sethi and G.L. Thompson, Optimal Control Theory: Applications to Management Science and Economic. Kluwer Academic Publisher(2000). | MR | Zbl

[61] D. Simon, Biogeography-based optimization. IEEE Trans. Evol. Comput. 12 (2008) 702–713. | DOI

[62] S. Tofighi, S.A. Torabi and S.A. Mansouri, Humanitarian logistics network design under mixed uncertainty. Eur. J. Oper. Res. 250 (2016) 239–250. | DOI | MR | Zbl

[63] V.D. Tsoukalas and N.G. Fragiadakis, Prediction of occupational risk in the shipbuilding industry using multivariable linear regression and genetic algorithm analysis. Saf. Sci. 83 (2016) 12–22. | DOI

[64] E. Valian, S. Mohanna and S. Tavakoli, Improved cuckoo search algorithm for feed forward neural network training. Int. J. Artif. Intell. Appl. 2 (2011) 36–43.

[65] X.S. Yang and S. Deb, Cuckoo search via levy flights, in Proceedings of World Congress on Nature & Biologically Inspired Computing, December 2009, India. IEEE Publications, USA (2009) 210–214. | DOI

[66] R. Zhang, I. Kaku and Y. Xiao, Model and heuristic algorithm of the joint replenishment problem with complete backordering and correlated demand. Int. J. Prod. Econ. 139 (2012) 33–41. | DOI

Cité par Sources :