A review paper on the economic lot scheduling problem with the common cycle approach

¹ Tecnologico de Monterrey, School of Engineering and Sciences, Ave. Eugenio Garza Sada 2501, Monterrey, N.L., 64849, México
² Department of Industrial Engineering, Faculty of Engineering, University of Science and Culture, Tehran, Iran
³ Department of Industrial and Mechanical Engineering, School of Engineering, Universidad de las Américas Puebla (UDLAP), Puebla. C.P, Mexico
⁴ Ingram School of Engineering, Texas State University, 601 University Drive, San Marcos, TX 78666, USA

^* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 13 September 2024
Accepted: 24 January 2026

Abstract

Production scheduling is a critical component of modern manufacturing, as it ensures the efficient use of limited and often expensive production resources. The integration of lot sizing and scheduling has therefore attracted significant scholarly attention, offering opportunities to improve capacity utilization and inventory management. This paper reviews and synthesizes the literature on the Economic Lot Scheduling Problem (ELSP), with particular emphasis on studies adopting the Common Cycle (CC) approach. The reviewed works are systematically classified into key categories, including defective production processes, shortage policies, maintenance activities, deteriorating items, objective functions, and modeling constraints. This taxonomy not only organizes the diverse body of research but also highlights thematic trends and methodological contributions across more than three decades of ELSP studies.