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Multi-Objective Production Planning Using Lexicographic Procedure
Design & Production Engineering Department, Faculty of Engineering, Ain-Shams University, Cairo, Egypt
Design & Production Engineering Department, Faculty of Engineering, Ain-Shams University, Cairo, Egypt
Department of Mechanical Engineering, College of Engineering and Islamic architecture, Umm Al-Qura University, Makkah, KSA
- 1 Design & Production Engineering Department, Faculty of Engineering, Ain-Shams University, Cairo, Egypt
- 2 Design & Production Engineering Department, Faculty of Engineering, Ain-Shams University, Cairo, Egypt
- 3 Department of Mechanical Engineering, College of Engineering and Islamic architecture, Umm Al-Qura University, Makkah, KSA
American Journal of Operations Research·Volume 07 (2017)·Pages 174–186·Published 4 May 2017·DOI10.4236/ajor.2017.73012
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Abstract
This paper presents a multi-objective production planning model for a factory operating under a multi-product, and multi-period environment using the lexicographic (pre-emptive) procedure. The model objectives are to maximize the profit, minimize the total cost, and maximize the Overall Service Level (OSL) of the customers. The system consists of three potential suppliers that serve the factory to serve three customers/distributors. The performance of the developed model is illustrated using a verification example. Discussion of the results proved the efficacy of the model. Also, the effect of the deviation percentages on the different objectives is discussed.
KeywordsMulti-ObjectiveProduction PlanningGoal ProgrammingMulti-Productsand Multi-Periods
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