2020
DOI: 10.11591/eei.v9i2.2110
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Formulations for joint order picking problems in low-level picker-to-part systems

Abstract: This article introduces several mathematical formulations for the joint order picking problem (JOPP) in low-level picker-to-part warehousing systems. In order to represent real warehousing environments, the proposed models minimize performance measures such as travel distance, travel time and tardiness, considering multi-block warehouses, due dates, and multiple pickers. The number of constraints and decision variables required for each proposed model is calculated, demonstrating the complexity of solving medi… Show more

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Cited by 6 publications
(4 citation statements)
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“…The cross-docking problem is considered NP-Hard since it includes the generalized assignment problem [22], therefore, two metaheuristics called simulated annealing (SA) and particle swarm optimization (PSO) are implemented for solving the cross-docking problem for the consumer goods sector to provide high-quality solutions in short computing times [23,24]. SA is classified as a trajectory method meanwhile PSO is a population-based method.…”
Section: Methodsmentioning
confidence: 99%
“…The cross-docking problem is considered NP-Hard since it includes the generalized assignment problem [22], therefore, two metaheuristics called simulated annealing (SA) and particle swarm optimization (PSO) are implemented for solving the cross-docking problem for the consumer goods sector to provide high-quality solutions in short computing times [23,24]. SA is classified as a trajectory method meanwhile PSO is a population-based method.…”
Section: Methodsmentioning
confidence: 99%
“…Single Picker Routing Problem: Single picker routing problem (SPRP) is the application of the shortest routing method in the warehouse to retrieve products ordered by customers and stored in certain storage locations in the warehouse [27], [28], [29], [30]. The purpose of the Single picker routing problem (SPRP) is to determine the path with the least cost that starts and ends at the same point when collecting all the stock-keeping units (SKUs) contained in the pick list from the storage locations in the warehouse.…”
Section: )mentioning
confidence: 99%
“…Constraints in (12) and (13) determine the non-negativity and domain of the variables. The order batching problem is considered NP-Hard when the number of customer orders per batch is greater than two [15], therefore any extension of this problem is considered NP-Hard as well [13,27,28]. Then, the OBSPMP is considered an NP-hard problem, so it cannot be solved using exact solution methods at least for large instances [25], thus metaheuristics like genetic algorithms can provide satisfactory solutions in short computing times for combinatorial problems related to logistics and operations management [29,30].…”
Section: Obspmp Features and Assumptionsmentioning
confidence: 99%