BENCHMARK DATA SET FOR EVALUATION OF LINE BALANCING ALGORITHMS
Seamus M. McGovern
(1)
and Surendra M. Gupta
(2)
(1)
U.S. DOT National Transportation Systems Center
55 Broadway, Kendall Square
Cambridge, Massachusetts 02142-1093 USA
(2)
Northeastern University
Department of Mechanical and Industrial Engineering
334 Snell Engineering Center
Boston, Massachusetts 02115-5000 USA
Abstract: A known-optimal solution benchmark data set consisting of varying-size
instances has been formulated for use in the evaluation and analysis of heuristics used to
solve the disassembly line balancing problem. These scalable instances are easily
modified to allow for consideration of larger or smaller workstation cycle times (or bin
sizes) and also have application to assembly line balancing problems and to the general
class of bin-packing problems. Copyright © 2007 IFAC
Keywords: Data sets, heuristics, algorithms, manufacturing, combinatorial mathematics,
benchmark examples.
1. INTRODUCTION
The recent formulation of the Disassembly Line
Balancing Problem and its proof as being NP-
complete necessitates solution through the use of
heuristics; however, heuristic solutions are typically
sub-optimal, so it is of interest to evaluate and
compare the performance of different heuristics on
any new problem or when using newly developed
heuristics. Unfortunately, a result of the
contemporary nature of the Disassembly Line
Balancing Problem is a dearth of available test
instances. While similar in name to the Assembly
Line Balancing Problem, there are enough
differences and additional qualities to make the use
of instances from the assembly area of study a partial
solution at best. Due to these issues, a new
benchmark has been proposed for use in evaluating
various performance measures (including efficacy
and time complexity, which is enabled through the
scalable nature of the instance set). Because of the
similarities to the Assembly Line Balancing Problem
and the general class of Bin-Packing Problems, and
since there is a reduction in the amount of evaluation
criteria required by these problems, a corresponding
reduction in this paper’s data set criteria may enable
this benchmark to be used as an additional tool for
heuristic evaluation in these established fields of
study (i.e., assembly line balancing and bin packing).
2. BACKGROUND
Disassembly has gained a great deal of attention in
the recent literature due to its role in product
recovery. A disassembly system faces many unique
challenges; for example, it has significant inventory
problems because of the disparity between the
demands for certain parts or subassemblies and their
yield from disassembly. The flow process is also
different. As opposed to the normal “convergent”
flow in regular assembly environment, in
disassembly the flow process is “divergent” (a single
product is broken down into many subassemblies and
parts). There is also a high degree of uncertainty in
the structure and the quality of the returned products.
The condition of the products received is usually
unknown and the reliability of the components is
suspect. In addition, some parts of the product may
cause pollution or may be hazardous. These parts
may require special handling that can also influence
the utilization of the disassembly workstations. For
example, an automobile slated for disassembly
contains a variety of parts that are dangerous to
remove and/or present a hazard to the environment
such as the battery, airbags, fuel, and oil. Various
demand sources may also lead to complications in
disassembly line balancing. The reusability of parts
creates a demand for them, however the demands and
availability of the reusable parts is significantly less
predicable than what is found in the assembly