IFAC PapersOnLine 50-1 (2017) 1211–1216
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2405-8963 © 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
Peer review under responsibility of International Federation of Automatic Control.
10.1016/j.ifacol.2017.08.344
© 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
Keywords: Assembly line balancing problem; Multi-manned workstations; Multi-skilled
workers; Mathematical programming.
1. INTRODUCTION
Assembly lines are a class of serial production systems
that includes a series of workstations arranged along a
material handling system (Tonelli et al., 2013). This kind
of production lines are usually utilized to manufacture
products composed of some subitems that have been
systematically joined together to build the main products.
One of the problems that managers of such systems
usually encounter is to balance the assembly line; that
is, to assign the assembly task of the products to the
workstations in order to optimize a specific objective,
such as minimizing the number of workstations for a
given production cycle time. Salveson (1955) was the
first researcher that presented a mathematical formulation
for the assembly line balancing problem (ALBP). The
problem is characterized by some basic assumptions such
as: mass-production of one homogeneous product, paced
line with fixed cycle time, serial line layout within single-
manned workstations, etc. Since then, several researches
have dedicated their efforts to develop solution approaches
for the simple ALBP (SALBP) (Baybars, 1986).
Many studies and works have been done for SALBP; a
comprehensive survey of the SALBP research can be found
in Becker and Scholl (2006) and Batta¨ ıa and Dolgui (2013).
However, the assumptions of SALBP are very restrictive
and the model might not represent the industrial reality.
In recent years, most of researchers tried to model more
realistic and generalized problems of the assembly line bal-
ancing through the formalization of the General Assembly
Line Balancing Problem (GALBP). Basically, GALBP is
the assembly line balancing problem when other consider-
ations are added to those characterizing the SALBP fam-
ily. The Multi-manned Assembly Line Balancing Problem
(MALBP) is a new type of GALBP in which there is the
possibility of assigning more than one operator to each
workstation, according to the product features. Such a
class of balancing problems typically occurs in industries
producing large size and high volume of products, such as
the automotive industry in which the size of the product
is reasonably large to utilize the multi-manned assembly
line configuration (Dimitriadis, 2006). A Multi-manned
Assembly Line (MAL) has substantial advantages over the
simple assembly line, such as reducing the length of the
assembly line, the amount of throughput time, the cost of
tools and fixtures, the material handling, and setup time.
These advantages are sufficient to justify the use of the
MAL for the assembling of large-size products. An example
of the structure of a MAL is reported in Fig 1.
Even if MALs are frequently used in various industries
with high volume of products such as the automotive
industry, the literature on this subject is not abundant.
*
Department of Informatics, Bioengineering, Robotics and Systems
Engineering (DIBRIS), University of Genova, Via Opera Pia 13,
16145 Genova, Italy (e-mails: massimo.paolucci@unige.it,
abdolreza.roshani@edu.unige.it)
**
Department of Mechanical, Energy, Management, and
Transportation Engineering (DIME), University of Genova, Via Opera
Pia 15, 16145 Genova, Italy (e-mails: davide.giglio@unige.it,
flavio.tonelli@unige.it)
Abstract: Multi-manned assembly lines are usually found in plants producing large-sized high-
volume products such as automotive sector. In this paper, the balancing problem of this kind of
assembly lines with skilled workers is addressed. A new mixed integer programming formulation
is presented to solve this problem optimally with the objective of minimizing the total operating
cost of the assembly line. The main advantage of the proposed model is to allow the workers
in each multi-manned workstation to perform the different assembly tasks of same product
simultaneously. The proposed formulation has been used to solve some experimental problems
found in the literature. The comparison between the results obtained with the proposed model
and those obtained with the model proposed by Moon, Logendran, and Lee (2009) shows that
the proposed model can improve the operating cost of the system by reducing the number of
workers and workstations.
Davide Giglio
**
Massimo Paolucci
*
Abdolreza Roshani
**
Flavio Tonelli
**
Multi-manned Assembly Line Balancing
Problem with Skilled Workers: A New
Mathematical Formulation