A Mathematical Model for 3D Bin Packing in Robotic Mobile Fulfillment Systems

Robotic Mobile Fulfillment System (RMFS) is a new type of parts-to-picker order picking system and has become the development trend of e-commerce logistics distribution centers. There are usually a large number of tasks need to be allocated to many robots and the picking time for e-commerce orders is usually very tight, which puts forward higher requirements for the efficiency of multirobot task allocation (MRTA) in e-commerce RMFS. Current researches on MRTA in RMFS seldom consider task correlation and the balance among picking stations. In this paper, a task time cost model considering task correlation is built according to the characteristics of the picking process. Then, a multirobot task allocation model minimizing the overall picking time is established considering both the picking time balance of picking stations and the load balance of robots. Finally, a four-stage balanced heuristic auction algorithm is designed to solve the task allocation model and the tasks with execution sequence for each robot are obtained. By comparing with the traditional task time cost model and the algorithm without considering the balance among picking stations, it is found that the proposed model and algorithm can significantly shorten the overall picking time.

The robotic mobile fulfillment system (RMFS) is a new automatic warehousing system, a type of green technology, and an emerging trend in the logistics industry. In this study, we take an RMFS as the research object and combine the connected issues of storage location assignment and path planning into one optimization problem from the perspective of collaborative optimization. A sustainable mathematical model for the collaborative optimization of storage location assignment and path planning (COSLAPP) is established, which considers the relationship between the location assignment of goods and rack storage and path planning in an RMFS. On this basis, we propose a location assignment strategy for goods clustering and rack turnover, which utilizes reservation tables, sets AGV operation rules to resolve AGV running conflicts, and improves the A-star(A*) algorithm based on the node load to find the shortest path by which the AGV handling the racks can complete the order picking. Ultimately, simulation studies were performed to ascertain the effectiveness of COSLAPP in the RMFS; the results show that the new approach can significantly improve order picking efficiency, reduce energy consumption, and lessen the operating costs of the warehouse of a distribution center.

Optimization models for scheduling operations in robotic mobile fulfillment systems

Robotic Mobile Fulfillment Systems (RMFS) are crucial for increasing the efficiency of the logistics sector. One of the essential processes in such systems is efficiently allocating tasks to robots to reduce costs and speed up order fulfillment. In this context, we found a gap in exploring the possibility of using heterogeneous robot fleets in RMFS plus other real constraints, such as dynamic orders and multi-delivery stations. This work presents a space decomposition-driven heuristic based on Voronoi Tessellation concepts to efficiently allocate tasks to robots in an environment with several constraints. Experiments deal with a large simulated smart warehouse, with dynamic orders and thousands of tasks and robots. Results showed that our solution reduced route costs and time to fulfill orders up to 45% and 24%, respectively, compared to the state-of-the-art algorithm.

Robotic handling systems are increasingly applied in distribution centers. They require little space, provide flexibility in managing varying demand requirements, and are able to work 24/7. This makes them particularly fit for e-commerce operations. This paper reviews new categories of automated and robotic handling systems, such as shuttle-based storage and retrieval systems, shuttle-based compact storage systems, and robotic mobile fulfillment systems. For each system, we categorize the literature in three groups: system analysis, design optimization, and operations planning and control. Our focus is to identify the research issue and operations research modeling methodology adopted to analyze the problem. We find that many new robotic systems and applications have hardly been studied in academic literature, despite their increasing use in practice. Because of unique system features (such as autonomous control, flexible layout, networked and dynamic operation), new models and methods are needed to address the design and operational control challenges for such systems, in particular, for the integration of subsystems. Integrated robotic warehouse systems will form the next category of warehouses. All vital warehouse design, planning, and control logic, such as methods to design layout, storage and order-picking system selection, storage slotting, order batching, picker routing, and picker to order assignment, will have to be revisited for new robotized warehouses.

Amazon is a world leader in e-commerce and robotization. Its robotic mobile fulfillment systems (RMFS) aim to speed up product delivery by using robots to move shelves. In terms of speed, precision, and profitability, the RMFS solution seems to guarantee economic and commercial success. Nevertheless, the integration of robotization is accompanied by an increase in workload, daily tasks, and accident risks. The aim of the present study is to provide an in-depth analysis of Amazon RFMS employees' perceptions of current robotization. Through a netnographic study of the comments and opinions of Amazon employees working in robotized warehouses, the empirical study will gather argumentative thinking around the effect of digital transformation in RFMS in terms of employability, working conditions, and quality of work life. The results of the study show a consolidation of working conditions accompanied by stress and a risk of job loss. Certain risks and doubts are also present, notably around the possibility of work-related accidents and the man-machine interactions.

Joint optimization of storage assignment and order batching in robotic mobile fulfillment system with dynamic storage depth and surplus items

Many e-commerce warehouses use robotic mobile fulfillment system (RMFS), where humans collaborate with robots to pick the orders. The performance of such systems depends on the joint performance of robots and humans. The performance of the workers is affected by fatigue, or the energy that it takes them to pick the items. In this paper, we study the effect of scattered storage assignment, order batching, and pod selection to minimise the total picker energy expenditure and the total robot transport distance. We introduce a mixed-integer programming formulation (called JIOPP) and introduce the NSGAII-ILS algorithm to heuristically solve it for real-world instances. Extensive numerical experiments on real-world instances show that NSGAII-ILS is competitive compared to state-of-the-art algorithms and can find Pareto solution sets that are closer to the true Pareto frontier. We evaluate the effects of batch sizes, the number of pod layers, and different pod selection policies. The results show that batching orders can save more than 35% of the picker's energy expenditure and more than 70% of the robot's transportation distance. Using the ‘golden zone’ layers on the pod selecting the right pod for retrieval are important for striking a balance between worker fatigue and order picking efficiency.

Robotic Mobile Fulfillment System (RMFS) is a well-known automated parts-to-picker system that is highly suitable in a fast-moving warehouse for handling critical challenges in the e-commerce industry. Implementing this system in the e-commerce industry has been shown to boost the throughput compared with the traditional picker-to-parts picking system. Nevertheless, there are still several ways to increase the efficiency of the warehouse. Therefore, this study proposes product-to-Pod or SKU-to-Pod assignment and replenishment policies that can increase warehouse efficiency using a simulation approach. There are three SKU-to-pod assignment policies evaluated in this study. They are Random Assignments, One Pod One Class, and Mix Class One Pod assignments. In addition, four replenishment policies, including the Emptiest Pod, Pod Inventory Level, Warehouse Inventory-SKU in Pod, and Stockout Probability, are also simulated. The simulation results show that the Mix Class One Pod assignments combined with Warehouse Inventory-SKU in Pod is the best policy. The SKU-to-pod policy can improve pod utilization by increasing pick units in each visit. Pod with more SKU types is likely to fulfill more orders. The replenishment policy has the role of maintaining the inventory of the warehouse and keeping the pod at a high service level. Other than that, replenishment triggers reduced visits to the picking station. A pod with insufficient capacity could not be assigned with the new order, although it already has the most order assigned.

With the development of the social economy and the improvement of the consumption concept, a new business model combining offline and online has been promoted. The warehousing system is one of the important links of commodity production and circulation, which involves storage, sorting, and distribution. It has a significant impact on the operation cost and the efficiency of the whole logistics system. The progress of robot technology, the Internet of things, and artificial intelligence technology promotes the automation and intelligence of storage systems. The Robotic Mobile Fulfillment Systems (RMFS), which takes the automatic guided vehicles (AGVs) as the way of handling and picking, greatly improves the space utilization, operation efficiency, and flexibility of the system. This paper studies the RMFS with fixed shelves and establishes the performance evaluation model of the picking system considering the AGVs congestion by establishing the queuing network. The effectiveness of the model is verified by simulation, and the optimization of system parameter configuration is further discussed according to the experimental data.

The Robotic Mobile Fulfillment System (RMFS) is a robotized material handling system where multiple robots transport movable shelves to and from stocking points and workstations in a warehouse. In this paper, we deal with the problem of finding collision-free routes for multiple robots to move from their starting points to destinations in a RMFS, which is defined as a generalization of the multi-agent path finding problem (MAPFP). In RMFSs, collisions among moving robots may occur due to the physical volume of robots and the inexact execution of planned routes by robots in terms of the planned timing of passing through points on the routes, which makes it difficult to directly apply the existing algorithms for MAPFP that assume the exact execution of planned routes by agents with no physical volume. Therefore, we defined the problem as a multi-agent path finding problem with the prespecified time spacing at points to address the possible sources of collisions among robots, and propose an integer optimization model for the problem. Since the proposed integer optimization model has a large number of decision variables and constraints, we propose heuristic and exact algorithms based on the Lagrangian relaxation technique and the conflict based search. Experimental results show that the proposed algorithms are effective in finding good quality solutions within a limited time even when the number of robots or the time spacing are large.

Warehouse layout optimization for fishbone robotic mobile fulfillment systems

Edge intelligence and agnostic robotic paradigm in resource synchronisation and sharing in flexible robotic and facility control system

This paper deals with a new type of warehousing system, Robotic Mobile Fulfillment Systems (RMFS). In such systems, robots are sent to carry storage units, so-called “pods,” from the inventory and bring them to human operators working at stations. At the stations, the items are picked according to customers’ orders. There exist new decision problems in such systems, for example, the reallocation of pods after their visits at work stations or the selection of pods to fulfill orders. In order to analyze decision strategies for these decision problems and relations between them, we develop a simulation framework called “RAWSim-O” in this paper. Moreover, we show a real-world application of our simulation framework by integrating simple robot prototypes based on vacuum cleaning robots.

A bi-level optimization approach for joint rack sequencing and storage assignment in robotic mobile fulfillment systems