A simulation-based experimental design for SBS/RS warehouse design by considering energy related performance metrics
Introduction
Recently, utilization of robotic technologies in industries has gained popularity due to recent technological and Industry 4.0 developments. Distribution centers are also eager to automate their facilities to achieve high performance in their supply chains. For instance, Amazon, DHL, Walmart, and some other companies are automating their warehouses at an increased rate. Especially, due to the recent increase in e-commerce, warehouses prefer utilizing those robotic technologies. One of those new automated warehousing technologies is shuttle-based storage and retrieval system (SBS/RS) that is developed as an alternative to mini-load crane-based Automated Storage and Retrieval System (AS/RS) to alter low order size with short response time [2], [8], [12], [13], [14]. In 2016, the European Materials Handling Federation (FEM) reported an order statistics on the product groups of intra-logistics systems that is shown in Fig. 1. It can be observed that the order amount for SBS/RS is doubled in 2016, compared to the previous years. This increase may continue constantly due to incerase in e-commerce activities.
Typically an SBS/RS design comprises multiple tiers of storage with dedicated shuttles for each level. Shuttles provide horizontal movement for loads within a tier. These are robotic order pickers that also complete storage of mini loads (i.e., totes) in racks. This automated storage technology has the ability to process high transaction rate in which a more “traditional” mini-load AS/RS crane may be inadequate for that transaction rate (see for example, Figs. 2a, b and 3, http://www.dematic.com/multishuttle, accessed on 13/09/2019).
Lifting devices (i.e., elevators) installed at the end of each aisle enables the transfer of mini-loads between tiers. As there is a dedicated shuttle in each tier and a single lifting mechanism in each aisle, lifts may become a cause of delay in the system. Hence, a lifting mechanism with dual table design enabling process of two totes independently is developed to decrease this delay. In such a system with dual lifting mechanism, there are two buffer locations in each tier where totes are dropped-off and picked up by the shuttles and lifts. Fig. 2 shows such a design. Fig. 3 shows top view of an SBS/RS in which the shuttle drops-off/picks up a load.
İt is important to invest on the right design of the SBS/RSs at first because it affects the efficiency of the system. For instance, how many aisles, tiers and bays as well as what velocity profiles in terms of maximum speed that lifts and shuttles can reach and acceleration/deceleration values of them would provide the desired performance levels, etc. should be clear, before a company invests on these systems. These questions are also critical for the cost information of these systems. To summarize, this paper is the first to investigate the significant design factors affecting the pre-defined performance measures from an SBS/RS including energy consumption and regeneration metrics. To achieve this, a simulation-based Design of Experiment (DOE) solution approach is implemented. Then, to find out the best levels of those identified significant design factors, a statistical test, Tukey's test, is applied.
Section snippets
Literature review
The studies on SBS/RS are described in this section. Marchet et al. [14] presented an analytical model to estimate SBS/RS performance measures (the transaction cycle time and waiting times). The model is based on an open queuing network approach. The model effectiveness in performance estimation is validated through simulation. Later, Marchet et al. [15] use simulation to highlight main design trade-offs for SBS/RS for several warehouse design scenarios involving tier-captive shuttle carriers.
Simulation modelling of the sbs/rs
In the simulation model, the SBS/RS warehouse is assummed that it consists of racks, lifts, and shuttles. Two types of transactions, storage and retrieval, are processed whose process details are presented by Fig. 4. Shuttles are tier-captive and their main purpose is to store and retrieve totes from their storage locations. Racks (on either side of an aisle) consist of bays, each of which can hold one tote at a time. Because each aisle of the studied SBS/RS is identical in terms of the number
Velocity versus time graphs for travel time calculations
In the simulation model, since the average cycle time of a transaction is one of the performance measures considered in the paper, in this section, computations for travel time of a transaction is presented [4]. In travel time calculation, it is important to know whether the lift/shuttle is accelerating, decelerating or travelling at a constant velocity (maximum speed). Fig. 5a, b represent the time versus velocity graphs. Fig. 5a is the case that the travel distance is short so that
Calculations for energy consumption of a transaction
In this section, average energy consumption calculations for a transaction, W, in the studied SBS/RS is shown. The calculations are summarized from Ekren et al. [4] for lifts and shuttles separately.
Amount of energy regeneration calculations
The energy regeneration is a regenerative break which is a kinetic energy recovery mechanism for recovering a braking shuttle's/lift's kinetic energy by converting it to another form i.e., electricity. The recovered energy is usually stored in high voltage batteries for later usage. The related calculations are also summarized from Ekren et al. (2018) below.
Experimental design
In this section, the experimental design study is presented. The aim of using this technique is to identify significant factors affecting the performance of SBS/RS as well as to find out the best levels of them improving the pre-defined performance measures. Experimental design or DOE is a design tool analyzing the relation between independent (i.e., design factors) and dependent (i.e., performance measures) variables in order to identify the significant factors affecting the dependent
Conclusion
In this paper, a simulation-based Design of Experiment (DOE) study is completed for design of an SBS/RS warehouse. Firstly, performance measures (e.g., average cycle time and energy consumption for a transaction; amount of energy regeneration for a transaction) and design factors (e.g., velocity profiles of lifts and shuttles and rack design) that could affect those performance measures are defined for the studied SBS/RS. Secondly, DOE table is developed by assigning different levels for these
Acknowledgment
This work was supported by The Scientific and Technological Research Council of Turkey and Slovenian Research Agency: ARRS [grant number: 214M613].
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