Inventory policies for demands with trend and randomness. Lubricants marketing case
Main Article Content
Abstract
At present, inventories are considered as waste, because they do not generate added value, and so they must be reduced or eliminated. However, this reduction in inventories should not lead to a decrease in the level of customer service or generation deficit. Considering this, this article proposes inventory policies that seek to maintain a previously defined level of customer service with the lowest cost of inventory management. The work is applied in a lubricant trading company whose demand shows a growing trend and is subject to randomization. The forecast model that best fits the demand behavior is defined, and it is statistically verified that the error fits a normal distribution with an average equal to zero. Policy definitions are based on the combination of heuristic techniques for inhomogeneous demands, such as Silver Meal and Wagner-Whitin, to define order periods and models for stochastic demands, such as periodic review models, for multi-product inventory systems, in which, by means of the probability density function of the forecast errors, the security stock of each period is defined. Applying the previously mentioned techniques, it is possible to obtain a policy in which the time between periods is variable as well as the quantity, which could not have been obtained through the use of periodic review techniques. This demonstrates that the definition of inventory policies in real systems requires the integration and adaptation of different inventory models to be efficient.
References
R. Ballou, Logística: Administración de la cadena de suministro. México: Pearson Educación, 2004.
Departamento Nacional de Planeación, Encuesta Nacional de Logística: Resultados Nacionales 2015. Bogotá D.C., 2015.
J. C. Hernández & A. Vizán, Lean manufacturing: Conceptos, técnicas e implantación. Madrid: EOI Escuela de Organizaciòn Industrial, 2013.
J. Venugopalan et al., “Analysis of decision models in supply chain management”, Procedia Engineering, no. 97, pp. 2259 – 2268, 2014.
C. H. Glock, “The joint economic lot size problem: A review”, International Journal of Production Economics, vol. 135, no. 2, pp. 671– 686, 2012.
F. Moshrefi, “An integrated vendor-buyer inventory model with partial backordering”, Journal of Manufacturing Technology Management, vol. 23, no. 7, pp. 869–884, 2012.
A. S. Eruguz, “A review of the Guaranteed-Service Model for multi-echelon inventory systems”, In IFAC Proceedings, no. 14, pp. 1439- 1444, 2012.
Y. Ghiami, “A two-echelon inventory model for a deteriorating item with stock-dependent demand, partial backlogging and capacity constraints”, European Journal of Operational Research, vol. 231, no. 3, pp. 587–597, 2013.
A. A. Taleizadeh et al., “Revisiting a fuzzy rough economic order quantity model for deteriorating items considering quantity discount and prepayment”, Mathematical and Computer Modelling, vol. 57, no. 5–6, pp. 1466–1479, 2013.
S. M. Samak-Kulkarni & N. R. Rajhans, “Determination of Optimum Inventory Model for Minimizing Total Inventory Cost”, Procedia Engineering, no. 51, pp. 803–809, 2013.
A. Tanweer et al., “An Optimization Model for Mitigating Bullwhip-effect in a Two-echelon Supply Chain”, Procedia - Social and Behavioral Sciences, no. 138, pp. 289–297, 2014.
L. E. Cárdenas-Barrón & S. S. Sana, “Multi-item EOQ inventory model in a two-layer supply chain while demand varies with promotional effort”, Applied Mathematical Modelling, vol. 39, no. 21, pp. 6725–6737, 2015.
J. Sadeghi, “A multi-item integrated inventory model with different replenishment frequencies of retailers in a two-echelon supply chain management: a tuned-parameters hybrid meta-heuristic”, Opsearch, vol. 52, no. 4, pp. 631–649, 2015.
M. A. Bushuev, “A review of inventory lot sizing review papers”, Management Research Review, vol. 38, no. 3, pp. 283–298, 2015.
D. Sipper, Planeación y control de la producción. México, D.F: Mc Graw Hill, 1998.