Variable Neighborhood Search strategies for the Order Batching Problem

The Order Batching Problem is an optimization problem belonging to the operational management aspect of a warehouse. It consists of grouping the orders received in a warehouse (each order is composed by a list of items to be collected) in a set of batches in such a way that the time needed to collect all the orders is minimized. Each batch has to be collected by a single picker without exceeding a capacity limit. In this paper we propose several strategies based on the Variable Neighborhood Search methodology to tackle the problem. Our approach outperforms, in terms of quality and computing time, previous attempts in the state of the art. These results are confirmed by non-parametric statistical tests. HighlightsWe address the Order Batching Problem (OBP).We implement a two-stage Variable Neighborhood Search to tackle the OBP.We develop several mechanisms that can be helpful in similar problem.We additionally propose an improved Combined routing strategy.We perform computational experiments that show the superiority of our proposal.

[1]  Clara Simón de Blas,et al.  Variable Neighborhood Search for Order Batching in a Warehouse , 2009, Asia Pac. J. Oper. Res..

[2]  Nenad Mladenovic,et al.  Variable Formulation Search for the Cutwidth Minimization Problem , 2013, Appl. Soft Comput..

[3]  Chih-Ming Hsu,et al.  Batching orders in warehouses by minimizing travel distance with genetic algorithms , 2005, Comput. Ind..

[4]  NOUD GADEMANN,et al.  Order batching to minimize total travel time in a parallel-aisle warehouse , 2005 .

[5]  Temel Öncan,et al.  MILP formulations and an Iterated Local Search Algorithm with Tabu Thresholding for the Order Batching Problem , 2015, Eur. J. Oper. Res..

[6]  Roberto Musmanno,et al.  Introduction to Logistics Systems Planning and Control (Wiley Interscience Series in Systems and Optimization) , 2004 .

[7]  Kees Jan Roodbergen,et al.  Routing methods for warehouses with multiple cross aisles , 2001 .

[8]  Abraham Duarte,et al.  General Variable Neighborhood Search applied to the picking process in a warehouse , 2015, Electron. Notes Discret. Math..

[9]  Manuel Laguna,et al.  Tabu Search , 1997 .

[10]  Ying-Chin Ho,et al.  A study on order-batching methods of order-picking in a distribution centre with two cross-aisles , 2006 .

[11]  Marc Goetschalckx,et al.  Research on warehouse design and performance evaluation: A comprehensive review , 2010, Eur. J. Oper. Res..

[12]  Pierre Hansen,et al.  Variable Neighbourhood Search , 2003 .

[13]  Randolph W. Hall,et al.  DISTANCE APPROXIMATIONS FOR ROUTING MANUAL PICKERS IN A WAREHOUSE , 1993 .

[14]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[15]  Kees Jan Roodbergen,et al.  Design and control of warehouse order picking: A literature review , 2006, Eur. J. Oper. Res..

[16]  P. Hansen,et al.  Variable neighbourhood search: methods and applications , 2010, Ann. Oper. Res..

[17]  Nenad Mladenovic,et al.  Multi-objective variable neighborhood search: an application to combinatorial optimization problems , 2015, J. Glob. Optim..

[18]  Kees Jan Roodbergen,et al.  Reduction of Walking Time in the Distribution Center of De Bijenkorf , 1999 .

[19]  J. Coyle,et al.  The management of business logistics , 1976 .

[20]  Gerhard Wäscher,et al.  Tabu search heuristics for the order batching problem in manual order picking systems , 2012, Eur. J. Oper. Res..

[21]  H. D. Ratliff,et al.  Order-Picking in a Rectangular Warehouse: A Solvable Case of the Traveling Salesman Problem , 1983, Oper. Res..

[22]  Charles G. Petersen An evaluation of order picking routeing policies , 1997 .

[23]  Karl F. Doerner,et al.  Metaheuristics for the Order Batching Problem in Manual Order Picking Systems , 2010 .

[24]  C.-H. Pan,et al.  A comparative study of order batching algorithms , 1995 .

[25]  Jan Karasek,et al.  An Overview of Warehouse Optimization , 2013 .

[26]  Pierre Hansen,et al.  Variable Neighborhood Search , 2018, Handbook of Heuristics.

[27]  F. Wilcoxon Individual Comparisons by Ranking Methods , 1945 .

[28]  H D Ratliff,et al.  Order Picking In An Aisle , 1988 .

[29]  Juan José Pantrigo,et al.  Parallel variable neighbourhood search strategies for the cutwidth minimization problem , 2016 .

[30]  Gunter P. Sharp,et al.  Order batching procedures , 1992 .

[31]  Roberto Musmanno,et al.  Introduction to Logistics Systems Planning and Control (Wiley Interscience Series in Systems and Optimization) , 2004 .

[32]  Fred W. Glover,et al.  A Hybrid Improvement Heuristic for the One-Dimensional Bin Packing Problem , 2004, J. Heuristics.

[33]  M. B. Rosenwein,et al.  A comparison of heuristics for the problem of batching orders for warehouse selection , 1996 .

[34]  M. B. M. de Koster,et al.  Efficient orderbatching methods in warehouses , 1999 .

[35]  Marc Goetschalckx,et al.  Research on warehouse operation: A comprehensive review , 2007, Eur. J. Oper. Res..

[36]  J. M. Moreno-Vega,et al.  Advanced Multi-start Methods , 2010 .