Scheduling Position-Based deteriorating jobs with Multiple rate-Modifying Activities and Past-sequence-dependent Delivery times

In this paper, we consider a scheduling problem with position-based deteriorating jobs and past-sequence-dependent delivery times on a single machine or parallel machines. Each job's delivery time is dependent on its waiting time for processing. Because of the deteriorating effect, each machine will undergo multiple rate-modifying activities throughout the planning horizon to restore its processing rate. For the single-machine case, the objectives are to minimize the makespan and the total completion time. For the parallel-machine case, the objectives are to minimize the total completion time and the total machine load. We show that all these problems are solvable in polynomial time.

[1]  Chuanli Zhao,et al.  Single Machine Scheduling with a Learning Effect and a Rate-Modifying Activity , 2011, Asia Pac. J. Oper. Res..

[2]  Kenneth Steiglitz,et al.  Combinatorial Optimization: Algorithms and Complexity , 1981 .

[3]  Cheng Wang,et al.  Single-machine due-window assignment problem with learning effect and deteriorating jobs , 2011 .

[4]  T.C.E. Cheng,et al.  Single-machine scheduling with deteriorating jobs and past-sequence-dependent setup times , 2011 .

[5]  Heng-Yong Tang,et al.  Two-parallel machines scheduling with rate-modifying activities to minimize total completion time , 2009, Eur. J. Oper. Res..

[6]  T. C. Edwin Cheng,et al.  Scheduling with job-dependent learning effects and multiple rate-modifying activities , 2010, Inf. Process. Lett..

[7]  Christos Koulamas,et al.  Single-machine scheduling problems with past-sequence-dependent setup times , 2008, Eur. J. Oper. Res..

[8]  Suh-Jenq Yang,et al.  Unrelated parallel-machine scheduling problems with multiple rate-modifying activities , 2013, Inf. Sci..

[9]  T. C. Edwin Cheng,et al.  Parallel-machine scheduling with simple linear deterioration to minimize total completion time , 2008, Eur. J. Oper. Res..

[10]  Gur Mosheiov,et al.  V-Shaped Policies for Scheduling Deteriorating Jobs , 1991, Oper. Res..

[11]  Xiaochun Jiang,et al.  Taxonomy for integrating scheduling theory and human factors: Review and research opportunities , 2009 .

[12]  Heng-Yong Tang,et al.  Single Machine Scheduling with Linear deteriorating Jobs under Predictive Disruption , 2011, Asia Pac. J. Oper. Res..

[13]  Yu-Bin Wu,et al.  Single machine past-sequence-dependent delivery times scheduling with general position-dependent and time-dependent learning effects , 2013 .

[14]  Gur Mosheiov,et al.  A note on scheduling deteriorating jobs , 2005, Math. Comput. Model..

[15]  T. C. Edwin Cheng,et al.  Parallel-batch scheduling of deteriorating jobs with release dates to minimize the makespan , 2011, Eur. J. Oper. Res..

[16]  Ji-Bo Wang,et al.  Single-machine scheduling with nonlinear deterioration , 2012, Optim. Lett..

[17]  Ji-Bo Wang,et al.  Some single-machine scheduling with sum-of-processing-time-based and job-position-based processing times , 2013 .

[18]  Ji-Bo Wang,et al.  Single-machine scheduling with past-sequence-dependent setup times and time-dependent learning effect , 2008, Comput. Ind. Eng..

[19]  Bahram Alidaee,et al.  Scheduling with time dependent processing times: Review and extensions , 1999, J. Oper. Res. Soc..

[20]  Byung Soo Kim,et al.  Scheduling a single machine with multiple preventive maintenance activities and position-based deteriorations using genetic algorithms , 2012, The International Journal of Advanced Manufacturing Technology.

[21]  Dar-Li Yang,et al.  Single-machine scheduling problems with past-sequence-dependent delivery times and position-dependent processing times , 2012, J. Oper. Res. Soc..

[22]  E.L. Lawler,et al.  Optimization and Approximation in Deterministic Sequencing and Scheduling: a Survey , 1977 .

[23]  Chuanli Zhao,et al.  Single machine scheduling with general job-dependent aging effect and maintenance activities to minimize makespan , 2010 .

[24]  Bertrand M. T. Lin,et al.  A concise survey of scheduling with time-dependent processing times , 2004, Eur. J. Oper. Res..

[25]  Yin-Feng Xu,et al.  New results on single-machine scheduling with past-sequence-dependent delivery times , 2012, Theor. Comput. Sci..

[26]  Christos Koulamas,et al.  Single-machine scheduling problems with past-sequence-dependent delivery times , 2010 .

[27]  Ji-Bo Wang,et al.  Scheduling Jobs with Processing times Dependent on Position, Starting Time, and Allotted Resource , 2012, Asia Pac. J. Oper. Res..

[28]  Daniel Oron,et al.  Due-date assignment and maintenance activity scheduling problem , 2006, Math. Comput. Model..

[29]  Shijin Wang,et al.  Scheduling deteriorating jobs with past-sequence-dependent delivery times , 2013 .

[30]  Ji-Bo Wang,et al.  Single machine scheduling problems with position-dependent processing times , 2009 .

[31]  Ji-Bo Wang,et al.  Single machine scheduling with a learning effect and discounted costs , 2010 .

[32]  Peter Brucker,et al.  Scheduling Algorithms , 1995 .

[33]  Wen-Chiung Lee,et al.  Scheduling with deteriorating jobs and past-sequence-dependent setup times , 2011 .

[34]  Sid Browne,et al.  Scheduling Deteriorating Jobs on a Single Processor , 1990, Oper. Res..

[35]  C.-Y. Lee,et al.  Machine scheduling with a rate-modifying activity , 2001, Eur. J. Oper. Res..

[36]  Christopher D. Geiger,et al.  A note on the optimal sequence position for a rate-modifying activity under simple linear deterioration , 2010, Eur. J. Oper. Res..