Cycle time analysis in reentrant robotic cells with swap ability

In this paper, reentrant robotic cells composed of a robot with swap ability for a single part type is studied. In this regard, we restrict our attention to the two-machine reentrant cell scheduling problem. In the cell, a part visits the machines at least once. To minimise the cycle time, the sequence of robot moves must be optimised. Based on our previous study on the optimality of robotic cells, we restrict our investigation to only one-unit cycles. Therefore, all one-unit cycles are generated and their cycle time formulae are developed. Initially, we determine both essential and sufficient conditions for different cycles to be optimal and present the regions of optimality when each part reenters the first machine two times. We determine optimality conditions for different cycles when each part reenters both machines two times. Finally, sensitivity analysis is performed for both cases and the influence of the parameter values in the regions of optimality for each cycle is shown.

[1]  Oya Ekin Karasan,et al.  Bicriteria robotic operation allocation in a flexible manufacturing cell , 2010, Comput. Oper. Res..

[2]  Oya Ekin Karasan,et al.  Robotic cell scheduling with operational flexibility , 2005, Discret. Appl. Math..

[3]  H. Neil Geismar,et al.  Sequencing and Scheduling in Robotic Cells: Recent Developments , 2005, J. Sched..

[4]  George Steiner,et al.  Scheduling in Reentrant Robotic Cells: Algorithms and Complexity , 2005, J. Sched..

[5]  Pengyu Yan,et al.  Optimal cyclic scheduling of a hoist and multi-type parts with fixed processing times , 2010 .

[6]  Nadia Brauner Identical part production in cyclic robotic cells: Concepts, overview and open questions , 2008, Discret. Appl. Math..

[7]  Ameur Soukhal,et al.  Resolution of a scheduling problem in a flowshop robotic cell , 2005, Eur. J. Oper. Res..

[8]  Gerd Finke,et al.  On A Conjecture About Robotic Cells: New Simplified Proof For The Three-Machine Case , 1999 .

[9]  Kouroush Jenab,et al.  Productivity analysis in a robotic cell , 2009 .

[10]  Oya Ekin Karasan,et al.  An analysis of cyclic scheduling problems in robot centered cells , 2012, Comput. Oper. Res..

[11]  Reza Tavakkoli-Moghaddam,et al.  Cyclic scheduling of a robotic flexible cell with load lock and swap , 2012, J. Intell. Manuf..

[12]  Toshihide Ibaraki,et al.  Automated Two-machine Flowshop Scheduling: A Solvable Case , 1991 .

[13]  Feng Chu,et al.  Multicyclic hoist scheduling with constant processing times , 2002, IEEE Trans. Robotics Autom..

[14]  Oya Ekin Karasan,et al.  Pure cycles in flexible robotic cells , 2009, Comput. Oper. Res..

[15]  Konstantin Kogan,et al.  A polynomial algorithm for scheduling small-scale manufacturing cells served by multiple robots , 1998, Comput. Oper. Res..

[16]  Chelliah Sriskandarajah,et al.  Scheduling Dual Gripper Robotic Cell: One-Unit Cycles , 2006, Eur. J. Oper. Res..

[17]  Pengyu Yan,et al.  A branch and bound algorithm for optimal cyclic scheduling in a robotic cell with processing time windows , 2010 .

[18]  Yves Crama,et al.  Cyclic scheduling in 3-machine robotic flow shops , 1999 .

[19]  Michel Gourgand,et al.  A polynomial algorithm for multi-robot 2-cyclic scheduling in a no-wait robotic cell , 2011, Comput. Oper. Res..

[20]  Chengbin Chu,et al.  Multi-degree cyclic scheduling of a no-wait robotic cell with multiple robots , 2009, Eur. J. Oper. Res..

[21]  Wieslaw Kubiak,et al.  Sequencing of parts and robot moves in a robotic cell , 1989 .

[22]  Tae-Eog Lee,et al.  Scheduling single-armed cluster tools with reentrant wafer flows , 2006, IEEE Transactions on Semiconductor Manufacturing.

[23]  C. Ray Asfahl Robots and manufacturing automation , 1985 .

[24]  Konstantin Kogan,et al.  Flowshop Scheduling of Robotic Cells with Job-dependent Transportation and Set-up Effects , 1995 .

[25]  H. Neil Geismar,et al.  A note on productivity gains in flexible robotic cells , 2005 .

[26]  Oya Ekin Karasan,et al.  Bicriteria robotic cell scheduling with controllable processing times , 2011 .

[27]  G. Finke,et al.  Optimal moves of the material handling system in a robotic cell , 2001 .

[28]  Yu-Xi Sun,et al.  Cycle time analysis for wafer revisiting process in scheduling of single-arm cluster tools , 2011, Int. J. Autom. Comput..

[29]  H. Neil Geismar,et al.  Robotic cells with stochastic processing times , 2010 .

[30]  Milind Dawande,et al.  On Throughput Maximization in Constant Travel-Time Robotic Cells , 2002, Manuf. Serv. Oper. Manag..

[31]  Yves Crama,et al.  Cyclic scheduling in robotic flowshops , 2000, Ann. Oper. Res..

[32]  Sigrid Knust,et al.  Makespan minimization for flow-shop problems with transportation times and a single robot , 2001, Discret. Appl. Math..

[33]  C. Gueguen,et al.  Flow-shop robotisé monoproduit avec stockage , 1998 .