Dynamic sequencing of jobs on conveyor systems for minimizing changeovers

This research investigates the problem of minimizing setup costs in resequencing jobs having first-in, first-out (FIFO) constraints conveyorized production or assembly systems. Sequence changing at conveyor junctions (with or without off-line buffers) in these systems is limited due to FIFO restriction. We first define the general problem of resequencing jobs to workstations satisfying precedence relationships between jobs (generalized sequential ordering problem, GSOP). Then we limit our scope to FIFO precedence relationships which is the conveyor selection problem at a diverging junction (diverging sequential ordering problem, DSOP), modeling it as a 0–1 integer program. With load balancing constraints removed, we show that the problem can be modeled as an assignment problem. We also define buffered sequential ordering problem (BSOP) as resequencing problem at a junction point of an off-line buffer, modeling it as a mixed integer program and propose a simple rule-based heuristic. Finally, we discuss the case study which motivated this research, details of the discrete event simulation model we developed, and numerical results.

[1]  Norbert Ascheuer,et al.  Hamiltonian path problems in the on-line optimization of flexible manufacturing systems , 1996 .

[2]  Luca Maria Gambardella,et al.  An Ant Colony System Hybridized with a New Local Search for the Sequential Ordering Problem , 2000, INFORMS J. Comput..

[3]  M.K. Jeong,et al.  Optimal automatic control of multistage production processes , 2005, IEEE Transactions on Semiconductor Manufacturing.

[4]  M. Eric Johnson,et al.  Model Decomposition Speeds Distribution Center Design , 1994 .

[5]  Laurence A. Wolsey,et al.  Integer and Combinatorial Optimization , 1988 .

[6]  Carlos F. Daganzo,et al.  Dynamic blocking for railyards: Part I. Homogeneous traffic , 1987 .

[7]  Randolph W. Hall,et al.  Railroad classification yard throughput: The case of multistage triangular sorting☆ , 1983 .

[8]  Hanif D. Sherali,et al.  Linear Programming and Network Flows , 1977 .

[9]  Arjang A. Assad,et al.  Analytical Models In Rail Transportation: An Annotated Bibliography , 1981 .

[10]  P. J. Newcomb,et al.  Paint line color change reduction in automobile assembly through simulation , 2003, Proceedings of the 2003 Winter Simulation Conference, 2003..

[11]  R. Meller Optimal order-to-lane assignments in an order accumulation/sortation system , 1997 .

[12]  Arjang A. Assad,et al.  MODELS FOR RAIL TRANSPORTATION , 1980 .

[13]  Ahmet Bolat,et al.  Algorithms for real-time scheduling of jobs on mixed model assembly lines , 1994, Comput. Oper. Res..

[14]  Ali S. Bastani Closed-loop conveyor systems with breakdown and repair of unloading stations , 1990 .

[15]  L. Escudero An inexact algorithm for the sequential ordering problem , 1988 .

[16]  Saif Benjaafar,et al.  Sequencing with limited flexibility , 2007 .

[17]  Onur M. Ülgen,et al.  Simulation in the Automobile Industry , 2007 .

[18]  Shih-Wei Lin,et al.  Multi-heuristic desirability ant colony system heuristic for non-permutation flowshop scheduling problems , 2007 .

[19]  Charles R. Standridge,et al.  Modeling and Analysis of Manufacturing Systems , 1993 .

[20]  Kyung-Il Choe,et al.  Aisle-based order pick systems with batching, zoning, and sorting , 1990 .

[21]  Candace Arai Yano,et al.  Sequencing to minimize work overload in assembly lines with product options , 1991 .

[22]  Gerrit Färber,et al.  Overview on sequencing in mixed model flowshop production line with static and dynamic context , 2005 .

[23]  David L. Myron,et al.  Paint blocking in Ford's in-line vehicle sequencing environment , 1996 .

[24]  M. Eric Johnson,et al.  The impact of sorting strategies on automated sortation system performance , 1997 .

[25]  Ravindra K. Ahuja,et al.  Network Flows: Theory, Algorithms, and Applications , 1993 .

[26]  F. Russel Atassi Implementation of block painting in Ford's in-line vehicle sequencing environment , 1996 .

[27]  John L. Bruno,et al.  Complexity of Task Sequencing with Deadlines, Set-Up Times and Changeover Costs , 1978, SIAM J. Comput..

[28]  G. Laporte The traveling salesman problem: An overview of exact and approximate algorithms , 1992 .

[29]  Carlos F. Daganzo,et al.  Assembly line job sequencing principles , 1987 .

[30]  David W. Graehl Insights into carrier control: a simulation of a power and free conveyor through an automotive paint shop , 1992, WSC '92.

[31]  Sven Spieckermann,et al.  A sequential ordering problem in automotive paint shops , 2004 .

[32]  Eginhard J. Muth,et al.  Conveyor Theory: A Survey , 1979 .

[33]  Clyde L. Monma,et al.  On the Complexity of Scheduling with Batch Setup Times , 1989, Oper. Res..

[34]  Godwin C. Ovuworie,et al.  Mathematical Programming: Structures and Algorithms , 1979 .

[35]  Paolo Toth,et al.  A Survey of Optimization Models for Train Routing and Scheduling , 1998, Transp. Sci..

[36]  Sam Yagar,et al.  An efficient sequencing model for humping in a rail yard , 1983 .

[37]  Yavuz A. Bozer,et al.  An evaluation of alternative control strategies and design issure for automated order accumulation and sortation systems , 1987 .

[38]  Kenneth R. Baker,et al.  Scheduling Groups of Jobs on a Single Machine , 1995, Oper. Res..

[39]  M W Siddiqee INVESTIGATION OF SORTING AND TRAIN FORMATION SCHEMES FOR A RAILROAD HUMP YARD , 1971 .

[40]  David M. Miller,et al.  Simulation and analysis of the Mercedes-Benz all activity vehicle (AAV) production facility , 1998, 1998 Winter Simulation Conference. Proceedings (Cat. No.98CH36274).

[41]  Arun Jayaraman,et al.  A sortation system model , 1997, WSC '97.

[42]  O. Kittithreerapronchai,et al.  Do ants paint trucks better than chickens? Markets versus response thresholds for distributed dynamic scheduling , 2003, The 2003 Congress on Evolutionary Computation, 2003. CEC '03..

[43]  Chris N. Potts,et al.  Integrating Scheduling with Batching and Lot-Sizing: A Review of Algorithms and Complexity , 1992 .

[44]  George L. Vairaktarakis,et al.  Workforce Planning in Mixed Model Assembly Systems , 1997, Oper. Res..

[45]  Chen Zhou,et al.  Throughput gain with parallel flow in automated flow lines , 2005, IEEE Transactions on Automation Science and Engineering.

[46]  Andrew Lim,et al.  Searching optimal resequencing and feature assignment on an automated assembly line , 2005, IEEE International Conference on Tools with Artificial Intelligence.

[47]  Ilker Baybars,et al.  A survey of exact algorithms for the simple assembly line balancing , 1986 .

[48]  Guy Theraulaz,et al.  Dynamic Scheduling and Division of Labor in Social Insects , 2000, Adapt. Behav..

[49]  Yavuz A. Bozer,et al.  An empirical Evaluation of a General Purpose Automated Order Accumulation and Sortation System used in Batch Picking , 1989 .

[50]  Wei Xiang,et al.  Industrial applications of the ant colony optimization algorithm , 2006 .

[51]  Candace Arai Yano,et al.  Survey, development, and applications of algorithms for sequencing paced assembly lines , 1989 .

[52]  Carlos F. Daganzo,et al.  Static Blocking at Railyards: Sorting Implications and Track Requirements , 1986, Transp. Sci..

[53]  Leon F. McGinnis,et al.  Real-Time Integrated Economic and Environmental Performance Monitoring of a Production Facility , 2001 .