Integrated Possibilistic Linear Programming with Beta-Skewness Degree for a Fuzzy Multi-Objective Aggregate Production Planning Problem Under Uncertain Environments

Abstract

This study proposes an improved Fuzzy Programming (FP) approach to optimise multi-objective Aggregate Production Planning (APP) problem under uncertain environments. The proposed approach integrates the concept of Possibilistic Linear Programming (PLP) with Beta-Skewness Degree that decision-makers can manipulate the best level of data fuzziness as well as maintain such fuzziness in the optimisation process (by not turning it to deterministic data too early). The effectiveness of the proposed approach is demonstrated through a case study by minimising the highest overall deviation from the ideal solution of total costs under imprecise operating costs, customer demand, labour level, and machine capacity. Our comparative result clearly shows that the obtained solution outperforms the solutions from traditional defuzzification methods. The proposed approach also helps decision-makers not only to know and optimise the most likely situation, but also realise the outcomes in the optimistic and the pessimistic business situations so that decision makers can prepare and take necessary actions for future uncertainty.

KEYWORDS:

• Aggregate Production Planning
• Possibilistic Linear Programming
• defuzzification methods
• Beta-Skewness Degree
• Fuzzy Programming

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Noppasorn Sutthibutr

Noppasorn Sutthibutr graduated bachelor and master degrees in the Industrial Engineering and Logistics Systems from the School of Manufacturing Systems and Mechanical Engineering, Sirindhorn International Institute of Technology, Thammasat university, Thailand. Her research interests are in the areas of operations management, logistics management, simulation and fuzzy mathematical programming.

Navee Chiadamrong

Navee Chiadamrong is currently an associate professor in the School of Manufacturing Systems and Mechanical Engineering, Sirindhorn International Institute of Technology, Thammasat University. His research interests include Supply Chain Uncertainty and Optimization, Inventory Management and Production Planning. His recent publications can be seen in Computers and Industrial Engineering, European Journal of Industrial Engineering and Journal of Simulation.