IJPAM: Volume 104, No. 3 (2015)

A MODIFIED FUZZY MULTI-OBJECTIVE LINEAR
PROGRAMMING TO SOLVE AGGREGATE
PRODUCTION PLANNING

Bayda Atiya Kalaf$^{1,2}$, Rizam Abu Bakar$^1$, Lee Lai Soon$^1$, Mansor Bin Monsi$^1$,
Abdul Jabbar Khudhur Bakheet$^3$, Iraq Tereq Abbas$^1$
$^1$Department of Mathematics
Faculty of Science
University Putra Malaysia
43300, Serdang, MALAYSIA
$^2$Department of Mathematics
College of Ibn AL-Haitham Education
University of Baghdad
Jadriyah, Baghdad, IRAQ
$^3$Department of Statistics
College of Administration and Economics
University of Baghdad
Jadriyah, Baghdad, IRAQ


Abstract. This paper develops a fuzzy multi-objective model for solving aggregate production planning problems that contain multiple products and multiple periods in uncertain environments. We seek to minimize total production cost and total labor cost. We adopted a new method that utilizes a Zimmerman’s approach to determine the tolerance and aspiration levels. The actual performance of an industrial company was used to prove the feasibility of the proposed model. The proposed model shows that the method is useful, generalizable, and can be applied to APP problems with other parameters.

Received: May 26, 2015

AMS Subject Classification:

Key Words and Phrases: aggregate production planning (APP), fuzzy multi-objective linear programming, mathematical model, aspiration level, tolerance level

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DOI: 10.12732/ijpam.v104i3.5 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 104
Issue: 3
Pages: 339 - 352


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