Robust Fuzzy chance constraint programming for multi-item EOQ model with random disruption and partial backordering under uncertainty

ABSTRACT

In this paper, a new mathematical model for multi-item Economic Order Quantity model is proposed considering defective supply batches and partial backordering. The proposed model assumes that the supply batches may be defective and can be rejected. The aim is to minimize total inventory costs by determining optimal values of the decision variables including Time interval between successive perfect supply deliveries. Since in real-world situations the main parameters are uncertain, two mathematical programming approaches called: Basic Chance Constraint Programming and Robust Fuzzy Chance Constraint programming are used to handle uncertain parameters. The performance of the mathematical programming models is investigated in a numerical example. The results show that the RFCCP model is able to provide risk-averse solutions comparing to the BCCP model. In the end, sensitivity analyses are performed to determine the effect of any change in the main parameters on objective function value to determine the most critical parameters

KEYWORDS:

• Economic order quantity
• defective supply batches
• partial backordering
• chance constraint programming
• Robust Fuzzy chance constraint programming

Disclosure statement

No potential conflict of interest was reported by the authors.

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Notes on contributors

Soheyl Khalilpourazari

Soheyl Khalilpourazari received his MSc degree in Industrial Engineering from Kharazmi University in 2016. His research interests include Inventory Control, Mathematical Modeling, Operations Research, and Supply Chain Network Design.

Shima Teimoori

Shima Teimoori is a PhD candidate in the Department of Industrial Engineering at the Kharazmi University, Tehran, Iran. Her research and teaching interests include: Production and Inventory Management, Non-linear Optimization.

Abolfazl Mirzazadeh

Abolfazl Mirzazadeh is a Professor of Industrial Engineering at Kharazmi University in Iran. He earned his PhD from Amirkabir University of Technology in Iran. His interest research areas are Uncertain Decision Making, Production/Inventory Control, Supply and Operations Management, Development of Quality Management and Problem-Solving Tools and Stochastic Processes. He has more than 55 research papers published journals such as International Journal of Systems Science, Computers and Mathematics with Applications, Applied Mathematical Modeling, International Journal of Production Research, Annual of Operations Research, Journal of Industrial and Management Optimization, International Journal of Advanced Manufacturing Technology, Proc IMcheE Part B: Journal of Engineering Manufacture, International Journal of Management Science and Engineering Management, and International Journal of Industrial Engineering Computations. Also, he has more than 35 international conference papers. He earned the second rank on the inflationary inventory researches in Scopus report on January 2014. He is now Editor-in-Chief of the International Journal of Supply and Operations Management (www.ijsom.com).

Seyed Hamid Reza Pasandideh

Seyed Hamid Reza Pasandideh is an Associate Professor in the Department of Industrial Engineering at the Kharazmi University, Tehran, Iran. He received his BS, MS and PhD degrees in Industrial Engineering from Sharif University of Technology, Tehran, Iran. Additionally, his PDF is carried out at the University of Nebraska-Lincoln in the USA. His research and teaching interests include: Production and Inventory Management, Multi-Objective Optimization, Non-linear Optimization, and Cold Supply Chain. He is editor of some journals such as: International Journal of Supply and Operations Management (IJSOM).

Nasim Ghanbar Tehrani

Nasim Ghanbar Tehrani is an Assistant Professor in the Department of Industrial Engineering at the Kharazmi University, Tehran, Iran. She received her PhD degree in Industrial Engineering from Tarbiat Modares University, Tehran, Iran. Her research and teaching interests include: strategic management, human resource management, and knowledge management.