A bin packing problem of the laundry washing buckets scheduling based on the buffer area

In this paper, we consider a class of bin packing problems from the washing reality, which is used to solve the laundry washing buckets scheduling problem in laundry procedure. First, we make some foundation concepts and propose the grouping model of washing buckets scheduling based on BPP-P. The objectives of model are as follow: (1) the buckets with clothes urgency priority are grouped preferentially; (2) the grouping model should make the whole washing tasks finished at the shortest possible. Second, we propose the algorithm of the combination of laundry buckets. Numerical examples results show as follows: (1) the maximum number of one type of clothes in the buffer area play an important role to the effect of the algorithm and the expansion of the buffer area can create more opportunity of combination; (2) because the buckets arrive by batches, the bottleneck resource may change in each group calculation and it may extend the working time of the whole task.

[1]  Mohd Fadzil Hassan,et al.  Adoptability Study of Bin-Packing for Scheduling Jobs on Volunteer Grid Resources , 2015 .

[2]  Johannes Sternatz,et al.  Enhanced multi-Hoffmann heuristic for efficiently solving real-world assembly line balancing problems in automotive industry , 2014, Eur. J. Oper. Res..

[3]  G. Ochoa,et al.  Understanding the structure of bin packing problems through principal component analysis , 2013 .

[4]  Mauro Dell'Amico,et al.  The Bin Packing Problem with Precedence Constraints , 2012, Oper. Res..

[5]  Daniele Vigo,et al.  Bin packing approximation algorithms: Survey and classification , 2013 .

[6]  César Pérez López,et al.  MATLAB Optimization Techniques , 2014, Apress.

[7]  Lin Chen,et al.  An asymptotic competitive scheme for online bin packing , 2015, Theor. Comput. Sci..

[8]  Andrew Chi-Chih Yao,et al.  Resource Constrained Scheduling as Generalized Bin Packing , 1976, J. Comb. Theory A.

[9]  Krzysztof Fleszar,et al.  Three insertion heuristics and a justification improvement heuristic for two-dimensional bin packing with guillotine cuts , 2013, Comput. Oper. Res..

[10]  Jordi Pereira,et al.  Procedures for the bin packing problem with precedence constraints , 2016, Eur. J. Oper. Res..

[11]  Rob van Stee,et al.  Online algorithms with advice for bin packing and scheduling problems , 2013, Theor. Comput. Sci..

[12]  Alejandro López-Ortiz,et al.  Online Bin Packing with Advice , 2012, Algorithmica.

[13]  J. Pereira Empirical evaluation of lower bounding methods for the simple assembly line balancing problem , 2015 .

[14]  Sheldon H. Jacobson,et al.  An application of the branch, bound, and remember algorithm to a new simple assembly line balancing dataset , 2014, Eur. J. Oper. Res..

[15]  Marc-Antoine Weisser,et al.  Bin packing with fragmentable items: Presentation and approximations , 2015, Theor. Comput. Sci..

[16]  John Augustine,et al.  Strip packing with precedence constraints and strip packing with release times , 2009, Theor. Comput. Sci..