PARTICLE SWARM OPTIMIZATION TO SOLVE CONTINUOUS TIME SUPPLY CHAIN PROBLEM

Hegazy Zaher; Taher Taha Zaki

Authors

Hegazy Zaher Institute of statistical Studies and Research Operations Research Department Cairo University, Egypt.
Taher Taha Zaki Institute of statistical Studies and Research Operations Research Department Cairo University, Egypt.

Keywords:

Particle Swarm Optimization, Runge-Kutta Method, Optimal Control

Abstract

The management of supply chain model with time varying depends on Particle Swarm Optimization (PSO) is presented. The discretization of state differential equations and control vectors is done by Runge Kutta method. The model is then converted to unconstrained optimization problem which is solved by PSO. The comparison between solution by PSO and optimal control theory is conducted.

References

Adesola . Anidu, Samson A. Arekete, Ayomide . Adedayo and Adekunle . Adekoya., Dynamic Computation of Runge Kutta’s Fourth-Order Algorithm of Ordinary Differential Equation Using Java IJCSI International Journal of Computer Science. Vol. 12, No.3, (2015), PP.208-218.

Andrew Chipperfield , Peter Fleming , Hartmut Pohlheim , Hartmut Pohlhien , Carlos Fonseca., Optimization Toolbox, MatWorks, Inc., 2015.

D. Vrabie, O. Pastravanu, M. Abu khalf, F.L. Lewis., Adaptive Optimum Control for Continuous Time Linear Systems Based on Policy Iteration, Automatica, Vol.45, No.2, (2009), PP.477-484.

Elodie Adida and George Perakis , A Nonlinear Continuous Time Optimal Control Model of Dynamic Pricing & Inventory Control with No Backorders,Wiley Interscience. Vol. 54, No.2, (2007),PP. 767-795.

Ghodrat Alah Emamverdi, Mohamed Sharif Karimi and Marzieh Safiee. , Application of Optimal Control Theory to adjust the Production rate of Deteriorating Inventory System. Middle East journal of scientific Research, Vol. 10, No.4, (2011),PP.526-531.

H. Zaher., Ragaa N. and Taher, T. Zaki., Optimal Control Theory Approaches to Solve Constrained Production and Inventory System., International Journal of Advanced Research in Computer Science and Software Engineering, Vol.3, No. 12, (2013), PP. 665–670.

H.Zaher and Taher, T. Zaki., Optimal control to solve production Inventory System in Supply Chain Management, Journal of Mathematics Research, Vol. 6, No.4, (2014) ,PP. 109-117.

H. Zaher and Taher, T. Zaki., Application of Optimal Control Theory to Solve The Three Stages Supply Chain Model, Global Journal of Pure and Applied Mathematics, Vol.11, No. 2, (2015),PP. 167-174.

Kuldeep Chaudhary , Yogender Singh , P.C.Jha., Optimal Control Policy of Production and Inventory System for Deterioration Items in Segmented Market, International Conference of Industrial Engineering and Operational Management , Vol.24, No.4, (2011),PP.1009-1015.

Kuo, B. C., Automatic control systems, Third Edition Prentice – Hall Inc, New Jersey, (1975).

Naidu D.S., Optimal Control System ,By CRC Press LLC, (2003).

Satyobroto Talukder ., Mathematical Modeling and Applications of Particle Swarm Optimization, Blekinge Institute of Technology, (2001).

Taher Taha Zaki , Naglaa Ragaa Saeid , Genetic Algorithm for Solving Dynamic Supply Chain Problem.IJEBM Vol 1, (2017) ,PP.1-6.

Yacine Benhadid , Lotfi Tadj and Messaoud Bounkhel , Optimal Control of Inventory Systems with Deteriorating Items and Dynamic Costs, Applied Mathematics, Vol. 8, (2008), PP.194-202.

PARTICLE SWARM OPTIMIZATION TO SOLVE CONTINUOUS TIME SUPPLY CHAIN PROBLEM

Authors

Keywords:

Abstract

References

Additional Files

Published

How to Cite

Issue

Section

License