Developing and Solving two Level Lot Sizing Problem with Multi Production Methods using Vibration Damping Optimization Algorithm

The Capacitated Lot Sizing Problem (CLSP) consists of determining the production quantity and timing for several items on a single facility over a finite number of periods so that the demand and capacity constraints can be satisfied at a minimum cost. In this Article, developing two level lot sizing problem with multi production methods is provided. The objective of the proposed model is to minimize costs. Vibration Damping Optimization (VDO) is used to solve a model. Taguchi method has been utilized to calibrate the parameters of algorithms Since the quality of solving all of the meta-innovative algorithms depends on their parameters.Then, to demonstrate the proper function of the solution method is provided, at first, experimental issues with different dimensions were generated, then it was solved by Lingo software and Vibration Damping Optimization. Finally, we compare the Lingo response and the optimization algorithm to reduce the vibration damping Optimization algorithm together in terms of the solution time. The results show that the answer to the vibration damping Optimization algorithm has a better quality than Lingo in issues of large size.