IMPLEMENTATION OF GRADIENT METHODS FOR OPTIMIZATION OF UNDERAGE COSTS IN AVIATION INDUSTRY
Underage costs are not easily quantifiable in spare parts management. These costs occur when a spare part is required and none are available in inventory. This paper provides another approach to underage cost optimization for subassemblies and assemblies in aviation industry. The quantity of spare parts is determined by using a method for airplane spare parts forecasting based on Rayleigh's model. Based on that, the underage cost per unit is determined by using the Newsvendor model. Then, by implementing a transformed accelerated double-step size gradient method, the underage costs for spare sub-assemblies and assemblies in airline industry are optimized.
Andrei, N. 2006. An acceleration of gradient descent algorithm with backtracking for unconstrained optimization. Numerical Algorithms, 42(1), pp. 63-73.
Hill, A. V. 2011. The Newsvendor Problem. Clamshell Beach Press.
Kontrec, N., Milovanović, G.V., Panić, S., & Milošević, H. 2015. A Reliability-Based Approach to Nonrepairable Spare Part Forecasting in Aircraft Maintenance System. Mathematical Problems in Engineering, 2015. Article ID731437, 7 pages, doi:10.1155/2015/731437.
Petrović, M. J., & Stanimirović, P.S. 2014. Accelerated double direction solving unconstrained optimization problems. Mathematical Problems in Engineering, . Article ID965104, 8 pages.
Petrović, M. J. 2015. An accelerated double step size model in unconstrained optimization. Applied Mathematics and Computation, 250, pp. 309-319.
Stanimirović, P. S., & Miladinović, M.B. 2010. Accelerated gradient descent methods with line search. Numerical Algorithms, 54(4), pp. 503-520.
Stanimirović, P. S., Milovanović, G.V., Petrović, M.J., & Kontrec, N. 2015. A Transformation of Accelerated Double Step Size Method for Unconstrained Optimization. Mathematical Problems in Engineering, 2015(8). Article ID2836798 pages. doi:10.1155/2015/283679.
Tian, Z., Wu, B., & Chen, M. 2013. Condition based maintenance optimization considering inproving prediction accuracy. Journal of the Operational Research Society, 65(9), pp. 1412-1422.
Wu, B., Tian, Z., & Chen, M. 2013. Condition-based maintenance optimization using neural network-based health condition prediction. Quality and Reliability Engineering International, 29(8), pp. 1151-1163.