lot sizing, production planning and scheduling, cost minimization, modelling


The design methods of production systems have evolved significantly in recent decades. New methods have emerged that are capable of determining the optimal parameters of production systems operating in increasingly complex environments. The two best known methods for lot sizing problems are the Wagner-Whitin algorithm and the Silver-Meal heuristics. The original versions of these two methods are only suitable for solving simple lot sizing problems, but there are several complex mutations of these methods that allow solving complex lot sizing problems. In the present research, the author presents a modified Wagner-Whitin algorithm that is suitable for solving the lot sizing problem and also for investigating the impact of dynamically changing resource costs. The proposed method is validated through case studies. The case studies demonstrate that the dynamic nature of cost of human resources and technological resources has a significant impact on the solution of lot sizing problems.

Author Biography

Bányai Tamás , University of Miskolc, Hungary

He was born in 1968. He graduated from the Faculty of Mechanical Engineering of the University of Miskolc in 1993 with a degree in industrial material handling. 1993-1998 assistant professor. In 1999, he defended his PhD dissertation entitled Design of Mobile Robotic Unit Load Training and Classification Systems with summa cum laude. He has been an assistant professor since 1998, and an associate professor since 2001. He is a member of several professional organizations. He is a leader and participant in many domestic and international projects. He specializes in the design of material flow and storage systems, the optimization of logistics systems.


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Organization of production (production process). Production planning.