A trade-off between productivity and cost for the integrated part quality inspection and preventive maintenance planning under uncertainty

This paper proposes a robust possibilistic and multi-objective mixed-integer linear programming mathematical model to concurrently plan part quality inspection and Preventive Maintenance (PM) activities for a serial multi-stage production system. This system contains the deteriorating stages and faces the uncertainty about estimated cost components and demand amount. The integrated model reaches two significant decisions which are the right time and place for performing the part quality inspection and PM. These decisions are made while the model is to simultaneously optimise the implied system productivity and total cost. To measure the implied system productivity, a new piecewise utility function for the ratio of produced conforming products to input workpieces is developed. A real case study and a numerical example are explored to validate and verify the developed model. The results prove the significance and effectiveness of considering the uncertainty and conflicting practical objectives for the problem.

[1]  Leon S. White,et al.  The Analysis of a Simple Class of Multistage Inspection Plans , 1966 .

[2]  Giacomo Maria Galante,et al.  Integrated approach to part scheduling and inspection policies for a job shop manufacturing system , 2007 .

[3]  Rui Peng,et al.  An integrated production, inventory and preventive maintenance model for a multi-product production system , 2015, Reliab. Eng. Syst. Saf..

[4]  Reza Tavakkoli-Moghaddam,et al.  Mathematical modelling of a robust inspection process plan: Taguchi and Monte Carlo methods , 2015 .

[5]  Glenn F. Lindsay,et al.  Allocation of Screening Inspection Effort---A Dynamic-Programming Approach , 1964 .

[6]  Konstantin Kogan,et al.  Optimal allocation of inspection effort over a finite planning horizon , 2002 .

[7]  Gary D. Eppen,et al.  Optimal Location of Inspection Stations in a Multistage Production Process , 1974 .

[8]  Mir Saman Pishvaee,et al.  Robust possibilistic programming for socially responsible supply chain network design: A new approach , 2012, Fuzzy Sets Syst..

[9]  Jeffrey S. Smith,et al.  An optimization model for selective inspection in serial manufacturing systems , 2004 .

[10]  Bong Jin Yum,et al.  Optimal inspection policies in a serial production system including scrap rework and repair: an MILP approach , 1987 .

[11]  M. Sheikhalishahi,et al.  Unique NSGA-II and MOPSO algorithms for improved dynamic cellular manufacturing systems considering human factors , 2017 .

[12]  Naoufel Cheikhrouhou,et al.  An approximation approach to a trade-off among efficiency, efficacy, and balance for relief pre-positioning in disaster management , 2016 .

[13]  J. T. Ross Jackson,et al.  A Dynamic Programming Application in Production Line Inspection , 1967 .

[14]  Celestine A. Ntuen,et al.  A study for optional inspection policies in a flexible manufacturing cell , 1988 .

[15]  Tal Raviv,et al.  Optimizing the quality control station configuration , 2007 .

[16]  Richard C. Larson,et al.  Model Building in Mathematical Programming , 1979 .

[17]  Tzvi Raz,et al.  Economic optimization of off-line inspection , 2000 .

[18]  M. Sheikhalishahi,et al.  Improved design of CMS by considering operators decision-making styles , 2015 .

[19]  M. A. Rahim,et al.  INTEGRATED PRODUCTION, QUALITY & MAINTENANCE MODELS: AN OVERVIEW , 2001 .

[20]  Reza Tavakkoli-Moghaddam,et al.  An Approximation Approach for an Integrated Part Quality Inspection and Preventive Maintenance Planning in a Nonlinear Deteriorating Serial Multi-stage Manufacturing System , 2018 .

[21]  Lloyd A. Swanson,et al.  Inspector location in convergent production lines , 1985 .

[22]  Giri Kumar Tayi,et al.  Inspection configuration and reprocessing decisions in serial production systems , 1991 .

[23]  Leon S. White.  Shortest Route Models for the Allocation of Inspection Effort on a Production Line , 2015 .

[24]  Reza Tavakkoli-Moghaddam,et al.  A bi-objective robust inspection planning model in a multi-stage serial production system , 2018, Int. J. Prod. Res..

[25]  Ali Azadeh,et al.  A particle swarm algorithm for optimising inspection policies in serial multistage production processes with uncertain inspection costs , 2015, Int. J. Comput. Integr. Manuf..

[26]  Reza Tavakkoli-Moghaddam,et al.  An MCDA-DEA approach for mixed-model assembly line balancing problem under uncertainty , 2016, J. Intell. Fuzzy Syst..

[27]  Tullio Tolio,et al.  Design and management of manufacturing systems for production quality , 2014 .

[28]  Stanley B. Gershwin,et al.  Analysis of long flow lines with quality and operational failures , 2008 .

[29]  Yadati Narahari,et al.  Modeling reentrant manufacturing systems with inspection stations , 1996 .

[30]  Reza Tavakkoli-Moghaddam,et al.  A review on optimisation of part quality inspection planning in a multi-stage manufacturing system , 2019, Int. J. Prod. Res..

[31]  Yau-Ren Shiau,et al.  Concurrent process/inspection planning for a customized manufacturing system based on genetic algorithm , 2007 .

[32]  Benny Tjahjono,et al.  Allocation of quality control stations in multistage manufacturing systems , 2011, Comput. Ind. Eng..

[33]  Giri Kumar Tayi,et al.  An integrated production-inventory model with reprocessing and inspection , 1988 .

[34]  Mariano Frutos,et al.  An application of the augmented ε-constraint method to design a municipal sorted waste collection system , 2017 .

[35]  R. Tavakkoli-Moghaddam,et al.  A novel model for the integrated planning of part quality inspection and preventive maintenance in a linear-deteriorating serial multi-stage manufacturing system , 2018 .

[36]  Tzvi Raz.  A Survey of Models for Allocating Inspection Effort in Multistage Production Systems , 1986 .

[37]  Yu Ding,et al.  A survey of inspection strategy and sensor distribution studies in discrete-part manufacturing processes , 2006 .

[38]  H. P. Williams,et al.  Model Building in Mathematical Programming , 1979 .

[39]  A. Sadegheih,et al.  Sequence optimization and design of allocation using GA and SA , 2007, Appl. Math. Comput..

[40]  Tal Raviv,et al.  A polynomial time algorithm for solving a quality control station configuration problem , 2008, Discret. Appl. Math..

[41]  MavrotasGeorge.  Effective implementation of the ε-constraint method in Multi-Objective Mathematical Programming problems , 2009 .