The impact of order batching and picking area zoning on order picking system performance
This paper proposes an approximation model based on queuing network theory to analyze the impact of order batching and picking area zoning on the mean order throughput time in a pick-and-pass order picking system. The model includes the sorting process needed to sort the batch again by order. Servic...
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Veröffentlicht in: | European journal of operational research 2009-10, Vol.198 (2), p.480-490 |
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creator | Yu, Mengfei de Koster, René B.M. |
description | This paper proposes an approximation model based on queuing network theory to analyze the impact of order batching and picking area zoning on the mean order throughput time in a pick-and-pass order picking system. The model includes the sorting process needed to sort the batch again by order. Service times at pick zones are assumed to follow general distributions. The first and second moments of service times at zones and the visiting probability of a batch of orders to a pick zone are derived. Based on this information, the mean throughput time of an arbitrary order in the order picking system is obtained. Results from a real application and simulation show that this approximation model provides acceptable accuracy for practical purposes. Furthermore, the proposed method is simple and fast and can be easily applied in the design and selection process of order picking systems. |
doi_str_mv | 10.1016/j.ejor.2008.09.011 |
format | Article |
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The model includes the sorting process needed to sort the batch again by order. Service times at pick zones are assumed to follow general distributions. The first and second moments of service times at zones and the visiting probability of a batch of orders to a pick zone are derived. Based on this information, the mean throughput time of an arbitrary order in the order picking system is obtained. Results from a real application and simulation show that this approximation model provides acceptable accuracy for practical purposes. Furthermore, the proposed method is simple and fast and can be easily applied in the design and selection process of order picking systems.</description><identifier>ISSN: 0377-2217</identifier><identifier>EISSN: 1872-6860</identifier><identifier>DOI: 10.1016/j.ejor.2008.09.011</identifier><identifier>CODEN: EJORDT</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Applied probability ; Applied sciences ; Approximation ; Exact sciences and technology ; Firm modelling ; Impact analysis ; Mechanical engineering. Machine design ; Operational research and scientific management ; Operational research. Management science ; Order picking ; Queueing ; Queueing Stochastic processes Simulation Applied probability ; Queuing theory ; Queuing theory. 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The model includes the sorting process needed to sort the batch again by order. Service times at pick zones are assumed to follow general distributions. The first and second moments of service times at zones and the visiting probability of a batch of orders to a pick zone are derived. Based on this information, the mean throughput time of an arbitrary order in the order picking system is obtained. Results from a real application and simulation show that this approximation model provides acceptable accuracy for practical purposes. Furthermore, the proposed method is simple and fast and can be easily applied in the design and selection process of order picking systems.</description><subject>Applied probability</subject><subject>Applied sciences</subject><subject>Approximation</subject><subject>Exact sciences and technology</subject><subject>Firm modelling</subject><subject>Impact analysis</subject><subject>Mechanical engineering. Machine design</subject><subject>Operational research and scientific management</subject><subject>Operational research. Management science</subject><subject>Order picking</subject><subject>Queueing</subject><subject>Queueing Stochastic processes Simulation Applied probability</subject><subject>Queuing theory</subject><subject>Queuing theory. Traffic theory</subject><subject>Simulation</subject><subject>Stochastic processes</subject><subject>Studies</subject><issn>0377-2217</issn><issn>1872-6860</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>X2L</sourceid><recordid>eNp9kMFq3DAQhkVpodskL9CTKeRoZyTLsgW5lJC2IYFcUshNyNKoKze2HMkJbJ6-cnabYwSjGdD_z4w-Qr5SqChQcTZUOIRYMYCuAlkBpR_IhnYtK0Un4CPZQN22JWO0_Uy-pDQAAG1osyH3d1ss_DhrsxTBFSFajEWvF7P1059CT7aYvfn7WkfUxUuY1jpMB-X_x7RLC47FjNGFOOrJ4DH55PRDwpNDPiK_f1zeXfwqb25_Xl18vykNb8RSCul0J2trHRMNMkDZMi0cl51E6lwvaMehtj30AkWjqWWIdd1w5oS1fd_UR-Tbvu8cw-MTpkUN4SlOeaRiwCmnLWdZxPYiE0NKEZ2aox913CkKagWoBrUCVCtABVJlgNl0vTdFnNG8OTCfLMWknlWtqezyvcuRrTInv5Y55hy8A8UlqO0y5m6nhz11MvrBxQzJp7eujPKatWz9z_lehxnas8eokvGYgVof0SzKBv_e0v8AFpWgPw</recordid><startdate>20091016</startdate><enddate>20091016</enddate><creator>Yu, Mengfei</creator><creator>de Koster, René B.M.</creator><general>Elsevier B.V</general><general>Elsevier</general><general>Elsevier Sequoia S.A</general><scope>IQODW</scope><scope>DKI</scope><scope>X2L</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20091016</creationdate><title>The impact of order batching and picking area zoning on order picking system performance</title><author>Yu, Mengfei ; de Koster, René B.M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c456t-69fa893ddf265e20e972a6f4989e1ffb618403db0b6e65a1d2ee33542f6ddbb53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Applied probability</topic><topic>Applied sciences</topic><topic>Approximation</topic><topic>Exact sciences and technology</topic><topic>Firm modelling</topic><topic>Impact analysis</topic><topic>Mechanical engineering. Machine design</topic><topic>Operational research and scientific management</topic><topic>Operational research. Management science</topic><topic>Order picking</topic><topic>Queueing</topic><topic>Queueing Stochastic processes Simulation Applied probability</topic><topic>Queuing theory</topic><topic>Queuing theory. Traffic theory</topic><topic>Simulation</topic><topic>Stochastic processes</topic><topic>Studies</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yu, Mengfei</creatorcontrib><creatorcontrib>de Koster, René B.M.</creatorcontrib><collection>Pascal-Francis</collection><collection>RePEc IDEAS</collection><collection>RePEc</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>European journal of operational research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yu, Mengfei</au><au>de Koster, René B.M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The impact of order batching and picking area zoning on order picking system performance</atitle><jtitle>European journal of operational research</jtitle><date>2009-10-16</date><risdate>2009</risdate><volume>198</volume><issue>2</issue><spage>480</spage><epage>490</epage><pages>480-490</pages><issn>0377-2217</issn><eissn>1872-6860</eissn><coden>EJORDT</coden><abstract>This paper proposes an approximation model based on queuing network theory to analyze the impact of order batching and picking area zoning on the mean order throughput time in a pick-and-pass order picking system. The model includes the sorting process needed to sort the batch again by order. Service times at pick zones are assumed to follow general distributions. The first and second moments of service times at zones and the visiting probability of a batch of orders to a pick zone are derived. Based on this information, the mean throughput time of an arbitrary order in the order picking system is obtained. Results from a real application and simulation show that this approximation model provides acceptable accuracy for practical purposes. Furthermore, the proposed method is simple and fast and can be easily applied in the design and selection process of order picking systems.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.ejor.2008.09.011</doi><tpages>11</tpages></addata></record> |
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source | RePEc; ScienceDirect Journals (5 years ago - present) |
subjects | Applied probability Applied sciences Approximation Exact sciences and technology Firm modelling Impact analysis Mechanical engineering. Machine design Operational research and scientific management Operational research. Management science Order picking Queueing Queueing Stochastic processes Simulation Applied probability Queuing theory Queuing theory. Traffic theory Simulation Stochastic processes Studies |
title | The impact of order batching and picking area zoning on order picking system performance |
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