A Mixed Integer Programming Model Formulation for Solving the Lot-Sizing Problem
This paper addresses a mixed integer programming (MIP) formulation for the multi-item uncapacitated lot-sizing problem that is inspired from the trailer manufacturer. The proposed MIP model has been utilized to find out the optimum order quantity, optimum order time, and the minimum total cost of purchasing, ordering, and holding over the predefined planning horizon. This problem is known as NP-hard problem. The model was presented in an optimal software form using LINGO 13.0.
Keywords: Lot-Sizing Problem, Mixed Integer Programming, Optimum Order Quantity, Purchasing Cost, Ordering Cost, Holding Cost.
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ABOUT THE AUTHORS
Maryam Mohammadi
Maryam Mohammadi, received Bachelor's Degree in Industrial Engineering (Systems Planning and Analysis) in Islamic Azad University - South Tehran Branch in 2009, and Master's Degree in Industrial Engineering program from Universiti Teknologi Malaysia (UTM) in 2012. She is currently a fulltime research student of Universiti Teknologi Malaysia (UTM) enrolled in the Doctor of Philosophy (Mechanical Engineering) program. Her research interests are in production planning and control, supply chain management, operations research, optimization, and simulation.
Masine Md. Tap
Masine Md. Tap, received her Bachelor's Degree in Mechanical Engineering from Universiti Teknologi Malaysia (UTM) in 1986, MPhil in Computer Aided Engineering from Herriot-Watt University, United Kingdom in 1989 and PhD. from Dundee University, United Kingdom in 1999. She is now an associate professor and the course coordinator for MEng. (Industrial Engineering) program in faculty of Mechanical Engineering in Universiti Teknologi Malaysia (UTM).
Maryam Mohammadi
Maryam Mohammadi, received Bachelor's Degree in Industrial Engineering (Systems Planning and Analysis) in Islamic Azad University - South Tehran Branch in 2009, and Master's Degree in Industrial Engineering program from Universiti Teknologi Malaysia (UTM) in 2012. She is currently a fulltime research student of Universiti Teknologi Malaysia (UTM) enrolled in the Doctor of Philosophy (Mechanical Engineering) program. Her research interests are in production planning and control, supply chain management, operations research, optimization, and simulation.
Masine Md. Tap
Masine Md. Tap, received her Bachelor's Degree in Mechanical Engineering from Universiti Teknologi Malaysia (UTM) in 1986, MPhil in Computer Aided Engineering from Herriot-Watt University, United Kingdom in 1989 and PhD. from Dundee University, United Kingdom in 1999. She is now an associate professor and the course coordinator for MEng. (Industrial Engineering) program in faculty of Mechanical Engineering in Universiti Teknologi Malaysia (UTM).
