Journal of Manufacturing Systems 43 (2017) 58–78
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Journal of Manufacturing Systems
j ourna l ho me pa g e: www.elsevier.com/locate/jmansys
Technical Paper
Optimizing upgrade and imperfect preventive maintenance in
failure-prone second-hand systems
A. Khatab
a,∗
, C. Diallo
b
, I.B. Sidibe
c
a
Laboratory of Industrial Engineering, Production and Maintenance (LGIPM), Lorraine University, National School of Engineering, Metz, France
b
Department of Industrial Engineering, Dalhousie University, Halifax, Canada
c
Centre de Formation et de Perfectionnement en Statistique (CFP-Stat), Bamako, Mali
a r t i c l e i n f o
Article history:
Received 14 February 2016
Received in revised form 27 January 2017
Accepted 6 February 2017
Keywords:
End-of-life systems
Upgrade
Imperfect preventive maintenance
Reliability
Optimization
a b s t r a c t
Upgrade operations are improvement actions that can be carried out on recovered end-of-life systems to
rejuvenate them and make them fit for subsequent lifecycles. These operations are costly but improve the
reliability of these second-hand systems and consequently can reduce their maintenance costs. In this
paper, a mathematical model for the joint determination of the optimal acquisition age, upgrade level,
and imperfect preventive maintenance strategy is developed for a second-hand system. The system is
acquired and upgraded, if necessary, before being put into operation and preventively maintained each
time its reliability reaches a minimum required reliability threshold. Preventive maintenance actions are
imperfect and modeled using the hybrid hazard rate approach. Optimality conditions are derived and
discussed for general cost structures of the acquisition and upgrade actions. A test case is provided to
illustrate the validity of the proposed approach. Numerical experiments and sensitivity analysis are also
conducted to investigate the interactions between the upgrade level decisions, the optimal maintenance
policy decisions and the total costs incurred during the lifetimes of these refreshed second- hand systems.
Crown Copyright
© 2017 Published by Elsevier Ltd on behalf of The Society of Manufacturing Engineers. All rights reserved.
1. Introduction
In the past decade, concerns for sustainability have led to the adoption of legislation to force the collection and recovery of end-of-life
products, and electronics in particular. This has generated a stream of parts and products that can be reconditioned/refreshed to be reused
on assembly lines or in maintenance activities. Many well established e-commerce platforms such as Amazon and EBay facilitate the
posting and the sale of used products. The used product market is a lucrative business and has become increasingly attractive. It covers
a wide range of used products from mobile phones and transportation engine parts, up to heavy industrial machinery. This new source
for components raises many interesting decision-making questions and research problems some of which have been extensively studied
by researchers. For example, closed-loop supply chain design and management models, optimal inventory control policies for returned
products, and remanufacturing production planning strategies have flourished during the past decade [1–6].
However, important research questions relating to quality, reliability, maintenance engineering and warranty policies for remanufac-
tured systems that will be reintroduced into the market as second-hand or refreshed products have been largely ignored [7,8].
In order to generate demand for reconditioned or second-hand products, manufacturers or dealers/brokers have introduced a com-
bination of initiatives to promote and infer the quality of their products. These initiatives include significant price reductions, generous
warranty coverage (same coverage as new systems, free preventive maintenance in the first year of the refreshed system), upgrade of
recovered systems before resale [9]. Usually, end-of-life (EOL) products are recovered, sorted and tested before remanufacturing and
reuse. Upgrade activities are carried out to bring the recovered systems to better condition and thus effectively reducing their age [10,11].
The cost of this rejuvenating/refreshing action depends on the improvement level carried out and is an expense that can increase the
sale price of the reconditioned systems. However, the age reduction provides better reliability that can translate into better performance
during operational lifetime. Therefore, trade-offs have to be made to find the best upgrade level for a given age of used products recovered.
∗
Corresponding author.
E-mail addresses: abdelhakim.khatab@univ-lorraine.fr (A. Khatab), Claver.Diallo@dal.ca (C. Diallo), bouransidibe@gmail.com (I.B. Sidibe).
http://dx.doi.org/10.1016/j.jmsy.2017.02.005
0278-6125/Crown Copyright © 2017 Published by Elsevier Ltd on behalf of The Society of Manufacturing Engineers. All rights reserved.