Joint lot sizing and scheduling of a multi-product multi-period supply chain

Main Article Content

Ahmed Othman El-meehy
Amin K. El-Kharbotly
Mohammed M. El-Beheiry

Abstract

The joint lot sizing and scheduling problem can be considered as an evolvement of the joint economic lot size problem which has drawn researchers’ interests for decades. The objective of this paper is to find the effect of a capacitated multi-period supply chain design parameters on joint lot sizing and scheduling decisions for different holding and penalty costs. The supply chain deals with two raw materials suppliers. The production facility produces two products which are shipped to customers through distribution centers. A mathematical model is developed to determine optimum quantities of purchased raw materials, production schedule (MPS), delivered quantities and raw material and products inventory for predetermined number of periods. The model is solved to maximize total supply chain profits. Results showed that at high capacity and low holding cost, the supply chain tends to produce only one product each period, for limited capacity and high value of holding cost, the supply chain may produce the two products together each period.

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Author Biographies

Ahmed Othman El-meehy, Faculty of Engineering, Ain Shams University

Ahmed El-Meehy is a master’s degree candidate at the Design and Production Engineering Dept., Faculty of Engineering, Ain Shams University. He received his bachelor degree in 2013 from Ain Shams University.

Amin K. El-Kharbotly, Faculty of Engineering, Ain Shams University

Amin El-Kharbotly is a Professor at the Design and Production Engineering Dept., Faculty of Engineering, Ain Shams University, Cairo, Egypt since 1993. He has received his Ph.D. in 1977 from Ain Shams University.

Mohammed M. El-Beheiry, Faculty of Engineering, Ain Shams University

Mohamed M. El-Beheiry is an assistant professor the Department of Design and Production Engineering, Faculty of Engineering, Ain Shams University, Cairo, Egypt. He has a degree in Mechanical Engineering (1994) and an MSc in Production Planning and Scheduling (1999) from the Ain Shams University. He also has a PhD degree in Supply Chain Management (2004). His research areas include production scheduling, inventory control, supply chain dynamics, and simulation.

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