Multi-objective aggregate production planning decisions using two-phase fuzzy goal programming method

Tien-Fu Liang; Hung-Wen Cheng

doi:10.3934/jimo.2011.7.365

Article Contents

2011, Volume 7, Issue 2: 365-383. Doi: 10.3934/jimo.2011.7.365

This issue Previous Article Existence of anonymous link tolls for decentralizing an oligopolistic game and the efficiency analysis Next Article Nonlinear dynamical system modeling via recurrent neural networks and a weighted state space search algorithm

Multi-objective aggregate production planning decisions using two-phase fuzzy goal programming method

Tien-Fu Liang^1, and
Hung-Wen Cheng^1,

1.
Department of Industrial Engineering and Management, Hsiuping Institute of Technology, 11 Gungye Road, Dali City, Taichung 412

Received: January 2010

Revised: January 2011

Published: April 2011

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Abstract

In practical aggregate production planning (APP) decisions, the decision maker (DM) must simultaneously handle multiple conflicting goals that govern the use of the constrained resources. This study aims to present a two-phase fuzzy goal programming method to solve multi-objective APP problems with multiple products and multi-time periods. The designed fuzzy multi-objective linear programming model attempts to simultaneously minimize total costs, total carrying and backordering volume, and total rates of changes in labor levels with reference to inventory carrying levels, machine capacity, work-force levels, warehouse space and available budget. An industrial case is used to demonstrate the feasibility of applying the proposed method to real-life APP decisions. The contribution of this study lies in presenting a two-phase fuzzy goal programming methodology to solve multi-objective APP decision problems and provides a systematic decision-making framework that facilitates a DM to interactively adjust the search direction until the preferred efficient compromise solution is obtained.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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