IJEBM | Genetic Algorithm for solving Dynamic Supply Chain Problem

Indexing and Abstracting

Genetic Algorithm for solving Dynamic Supply Chain Problem

Taher Taha Zaki , Naglaa Ragaa Saeid

International Journal of Engineering, Business And Management(IJEBM), Vol-1,Issue-1, May - June 2017, Pages 50-53 ,

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Abstract:

The solution of dynamic supply chain problem is studied using both genetic algorithms and multistage dynamic programming. This is possible by employing Euler approximation method to approximate the differential of the variables. The problem is reformulated as unconstrained optimization problem which solved by genetic Algorithm and Multi Stages Dynamic Programming. The solution evaluation results from using dynamic programming and genetic algorithm is performed.

Keywords:

Dynamic Supply Chain, Genetic Algorithm, Multi Stages Dynamic Programming.

References:

[1] Andrew Chipperfield , Peter Fleming , Hartmut Pohlheim , Hartmut Pohlhien , Carlos Fonseca. 2004, Genetic Algorithm Toolbox, MatWorks, Inc.
[2] ElodiaAdida. and Georgia Perakis . 2007, A Nonlinear Continuous Time Optimal Control Model of Dynamic Pricing and Inventory Control with No Backorders,Wiley Interscience. Vol. 54, No.2, PP. 767-795.
[3] Hamdi Ahmed Taha (1997), â€œOperations Research: An Introductionâ€, Sixth Edition, Perntice-Hall International Inc.
[4] Hegazy Zaher, Hegazy, Naglaa Rgaa S. and Taher Zaki. 2013, â€œan Optimal Control Theory Approaches to Solve Constrained Production and Inventory Systemâ€. International Journal of Advanced Research in Computer Science and Software Engineering, Vol.3, No. 12, PP. 665â€“670.
[5] Hegazy Zaher. and Taher ZAki. 2014, â€œOptimal control to solve production Inventory System in Supply Chain Managementâ€, Journal of Mathematics Research, Vol. 6, No.4, PP. 109-117.
[6] Hegazy Zaher. and Taher Zaki 2015. â€œApplication of Optimal Control Theory to Solve Three Stages Supply Chain Modelâ€, Global Journal of Pure and Applied Mathematics, Vol.11, No. 2, PP. 167-17
[7] Morton I . Kamien and Nancy L. Schwartz, (1981), Dynamic Optimization, 2nd Edition, E lsevier North Holland Inc.
[8] Md. Azizul Baten and Anton Abdulubasah Kamil (2009), An Optimal Control Approach to Inventory Production System with Weibull Distributed Deterioration, Journal of Mathematics and Statistics, Vol. 5, No.3, PP.206-214.
[9] M. El-kady and N. El-sawy . (2013), Legendre Coefficients Method for Linear-Quadratic Optimal Control Problems by Using Genetic Algorithms ,International Journal of Applied Mathematical Research, 2 (1) (2013) 140-150
[10] Ogata Katsuhiko (2010), Modern Control Engineering, Fifth Edition, Printce Hall.
[11] Suresh.P Sethi,. and Thompson, Gerald .L. (2000), Optimal Control Theory, Applications to Management Science and Economics. 2nd Edn., Springer, USA., Inc.
[12] S. R. Sing and Tarun Kuna (2011), Inventory optimization in Efficient Supply Chain Management, International Journal of Computer Application in Engineering Sciences, Vol. 1 No. 4.,PP.107-118.