Optimization of the Inflationary Inventory Control Model under Stochastic Conditions with Simpson Approximation: Particle Swarm Optimization Approach

Kennedy, J. & Eberhart, R. (1995). Particle swarm optimization (Vol. 4). Piscataway, NJ: IEEE Press.
Parsopoulos, K.; Skouri, K., & Vrahatis, M. (2008). Particle Swarm Optimization for Tackling Continuous Review Inventory Models. M. Giacobini et al. (Eds.): EvoWorkshops, 103–112.
A.Lubik, T. & Teo, W. (2012). “Inventories, inflation dynamics and the New Keynesian”. European Economic Review. 56(3), 327–346.
Blum, C., & Merkle, D. (2011). Swarm Intelligence: Introduction and Applications. Springer-Verlag.
Buzacott, J. (1975). “Economic Order Quantities with Inflation”. Journal of the Operational Research Society, (26), 553-558.
Chapra, S. (2005). Applied Numerical Methods W/MATLAB: For Engineers & Scientists (3rd ed., Vol. 1). New York, USA: McGraw-Hill Companies, Incorporated.
Chung, K. (3003). “An Algorithm for an Inventory Model with Inventory-Level-Dependent Demand Rate”. Computers and Operations Research(30), 1311-1317.
Datta, T., & Pal, A. (1991). “Effects of Inflation and Time-Value of Money on an Inventory Model with Linear Time-Dependent Demand Rate and Shortages”. Journal of operational Research, (52), 326-333.
Domoto, E.; Okuhara, K.; Ueno, N. & Ishii, H. (2007). “Target Inventory Strategy in Multistage Supply Chain by Particle Swarm Optimization”. Asia Pacific Management Review, 12(2), 117-122.
Fatih Taşgetiren, M. & Liang, Y.C. (2003). “A Binary Particle Swarm Optimization Algorithm for Lot Sizing Problem”. Journal of Economic and Social Research, 5(2), 1-20.
Hariga, M., & Ben-Daya, M. (1996). “Optimal Time Varying Lot-Sizing Models under Inflationary Conditions”. European Journal of operational Research, (89), 313-325.
Horowitz, I. (2000). “EOQ and Inflation Uncertainty”, International Journal of Production Economics, (65), 217-224.
Hsu, C.H.; Tsou, C.S. & Yu, F.J. (2009). “Multicriteria Tradeoffs In Inventory Control Using Memetic Particle Swarm Optimization”. International Journal of Innovative Computing, Information and Control, 5(11), 3755–3768.
Jeffrey, A. & Dai, H. H. (1995). Handbook of Mathematical Formulas and Integrals (4 ed., Vol. 1). (L. S. Yuhasz, Ed.) San Diego, California, USA: Academic Press.
Kennedy, J.; Eberhart, R. & Shi, Y. (2001). Swarm Intelligence (Vol. 1). San Francisco, CA, USA: Morgan Kaufmann.

Li, R.; Lan, H. & Mawhinney, J. (2010). “A Review on Deteriorating Inventory Study”. J. Service Science & Management, 3, 117-129.
Mirzazadeh, A. (2007). Effects of Uncertain Inflationary Conditions on Inventory Models Using the Average Annual Cost and the Discounted Cost. Bangkok: AIMS.
Mirzazadeh, A. & Sarfaraz, A. (1997). Constrained Multiple Items Optimal Order Policy under Stochastic Inflationary Conditions. USA, San Diego.
Misra, R. (1979). “A Note on Optimal Inventory Management under Inflation”. Naval Research Logistics Quarterly, (26), 161-165.
NEETU, & Tomer, A. (2012). A Deteriorating Inventory Model Under Variable Inflation When Supplier Credits Linked to Order Quantity. Procedia Engineering.
Orand, S.; Mirzazadeh, A. & Ahmadzadeh, F. (2012). Application of Particle Swarm Optimization Approach in the Inflationary Inventory Model under Stochastic Conditions. Lulea.
Rao, S. (2009). “Engineering optimization: Theory and practice”. In Engineering optimization: Theory and practice (Vol. 1, pp. 708-714). Hoboken, New Jersey, USA: John Wiley and Sons.
Sarker, B. & Pan, H. (1994). “Effects of Inflation and the Time Value of Money on Order Quantity and Allowable Shortage”. International Journal of Production Economics, (34), 65-72.
Sedighizadeh, D. & Masehian, E. (2009). “Particle swarm optimization methods, taxonomy and applications”. International Journal of Computer Theory and Engineering (IJCTE), 1(5), 486-502.
Shi, Y. & Eberhart, R.C. (1998). Parameter Selection in Particle Swarm Optimization. Berlin: Springer-Verlag.
Sue-Ann, G.; Ponnambalam, S. & Jawahar, N. (2012, October). “Evolutionary algorithms for optimal operating parameters of vendor managed inventory systems in a two-echelon supply chain”. Advances in Engineering Software, 52, 47–54.
Tsai, C.Y. & Yeh, S.W. (2008). “A multiple objective particle swarm optimization approach for inventory classification”. International Journal of Production Economics, 656–666.
Varga, T.; Király, A. & Abonyi, J. (2013). “Improvement of PSO Algorithm by Memory-Based Gradient Search—Application in Inventory Management”. Swarm Intelligence and Bio-inspired Computation Theory and Applications. 403–422.
Vrat, P. & Padmanabhan, G. (1990). “An Inventory Model under Inflation for Stock Dependent Consumption Rate Items”. Engineering Costs and Production Economics, (19), 379-383.

Wikipedia. (2012, December 28). Simpson's Rule. Retrieved from Wikipedia: http://en.wikipedia.org/wiki/Simpson's_rule.
Wong, J.T.; Chen, K.H. & Su, C.T. (2009). “Replenishment Decision Support System Based on Modified Particle Swarm Optimization in a VMI Supply Chain”. International Journal of Industrial Engineering: Theory, Applications and Practice, 16(1), 1-12.
Yang, H.L. (2012). Two-warehouse partial backlogging inventory models with three-parameter Weibull distribution deterioration under inflation. Int. J. Production Economics.
Yang, H.L. & Chang, C.T. (3013). “A two-warehouse partial backlogging inventory model for deteriorating items with permissible delay in payment under inflation”. Applied Mathematical Modelling, 37(5), 2717–2726.