Management, Vol. 1, Issue 1, Dec  2017, Pages 28-49; DOI: 10.31058/j.mana.2017.11003 10.31058/j.mana.2017.11003

Developing a Multi-Objective Model on Cell Formation and Operator Assignment Based on Reliability and Workload Planning

Management, Vol. 1, Issue 1, Dec  2017, Pages 28-49.

DOI: 10.31058/j.mana.2017.11003

Kazem Amiryan 1 , Roozbeh Aziz Mohammadi 2 , Abbas Mahmoudabadi 3*

1 Department of industrial Engineering, Islamic Azad University, Shahre-Rey Branch, Iran

2 Department of industrial Engineering, Payame Noor University, Tehran, Iran

3 Department of industrial Engineering, MehrAstan University, Guilan, Iran

Received: 25 December 2017; Accepted: 10 January 2018; Published: 22 January 2018

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Abstract

Human resources and maintenance are two main issues to reduce production cost. To reduce machines’ failures and repairing costs, they should be considered at the first stage of production planning. In many cases of cellular manufacturing system, designers assume that machines are always available but the failure time is a portion of machines lifecycles. In the present research work, a multi-objective mixed integer non-linear programming (MINLP) model has been developed for solving the cell formation and operator assignment problem in which machine reliability and workload balance have been considered, simultaneously. Operators’ selection and their assignment are also set based on the specified criteria and cross-training costs. The first level of objective function goes toward minimizing inter-intra cell movement, machines setup, operation, non-utilization, cross-training and operators salaries costs. The second level of objective function maximizes the system reliability which is defined as the total parts processing route reliabilities. The third level of objective function also minimizes the summation of standard deviation of machines activities times to balance machines workloads. In order to validate the proposed model, NSGA-II algorithm is applied to solve the numerical examples, and the Analytical Network Process (ANP) is also utilized for determining the most preferred solution from the extracted Pareto set. The performance of the NSGA-II is compared to NRGA algorithms to solve the problem using SAW method. Results revealed that increasing production cost reduces lead time but parts processing routes reliability is increased when reliability and workload balance are simultaneously considered in planning.

Keywords

Cell Formation, Worker Assignment, Cross-Training, Reliability, Lognormal Distribution

Copyright

© 2017 by the authors. Licensee International Technology and Science Press Limited. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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