Journal of Intelligent Manufacturing

, Volume 30, Issue 2, pp 783–794 | Cite as

Multi-objective robust design optimization of a sewing mechanism under uncertainties

  • Bilel NajlawiEmail author
  • Mohamed Nejlaoui
  • Zouhaier Affi
  • Lotfi Romdhane


This work deals with the multi-objective robust design optimization of a needle-bar-and-thread-take-up-lever (NBTTL) mechanism used in sewing machines. A combined multi-objective imperialist competitive algorithm and Monte Carlo method are developed and used for the robust multi-objective optimization of the NBTTL mechanism. This robust optimization considers simultaneously the Needle Jerk, the transmission angle, the coupler tracking error and their standard deviations where the design parameters uncertainties are considered. The obtained results showed that the robust design reduces significantly the sensitivity of the NBTTL performances to the design parameters uncertainties compared to the deterministic one and to the commercialized Juki 8700 machine.


Robust design Sewing machine Uncertainty Monte Carlo MOICA 

List of symbols


Needle Jerk index


Tracking error of the coupler point


Transmission angle index


Design parameters


The search domain of DP


Robust solution


Deterministic solution

\({\upgamma }\)

Deviation from original direction of colony

\(\hbox {Cost}_{\mathrm{imp}}\)

Cost of an imperialist

\(\hbox {Cost}_{\mathrm{col}}\)

Cost of a colony

\(\hbox {N}_{\mathrm{col}}\)

Number of colonies

\(\hbox {C}_\mathrm{n} \)

The normalized cost of the \(\hbox {n}{\mathrm{th}}\) imperialist

\(\hbox {P}_\mathrm{n} \)

The normalized power of \(\hbox {n}{\mathrm{th}}\) imperialist

\(\hbox {q}_\mathrm{i} \)

\(\hbox {i}{\mathrm{th}}\) NBTTL link measurement value

\(\bar{{\upsigma }}\)

Standard deviation of \(\bar{\hbox {q}}\)

\(\bar{\hbox {q}}\)

Mean value of a series \(\hbox {q}_\mathrm{i} \)

\(\upbeta \)

Assimilation coefficient

\({\uptheta }\)

Parameter of colonies’ deviation


Number of empires

\({\upmu }\)

Transmission angle of motion

\(\hbox {X}\)

Direction parameter of colonies motion

\(\hbox {d}\)

Distance between a colony and an imperialist

\(\hbox {f}_{\mathrm{j,n}} \)

The value of the objective function j for the imperialist n

\(\hbox {f}_\mathrm{j}^{\min } \)

The minimum values of objective function j in each iteration

\(\hbox {P}_{\mathrm{p}_\mathrm{n} } \)

The possession probability of the \(\hbox {n}{\mathrm{th}}\) empire

\(\hbox {NTC}_\mathrm{n} \)

The normalized total cost of the \(\hbox {n}{\mathrm{th}}\) empire


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Bilel Najlawi
    • 1
    Email author
  • Mohamed Nejlaoui
    • 1
  • Zouhaier Affi
    • 1
  • Lotfi Romdhane
    • 2
  1. 1.LGM, ENIMUniversity of MonastirMonastirTunisia
  2. 2.Department of Mechanical EngineeringAmerican University of SharjahSharjahUAE

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