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Fujitsu Develops Simulation Technology to Model Shopper Movement, Visualizing Crowding Conditions

Social simulation techniques applied to business settings support better decisions

Fujitsu Laboratories Ltd.

Kawasaki, Japan, December 13, 2012

Fujitsu Laboratories Limited announced that it has developed a simulation technology that models customers' behavior as they shop, making it possible to visualize the complex circumstances surrounding crowding in stores.

More and more research is being done in the field of social simulations, which model individual behavior and visualizes potential future social phenomena. Fujitsu Laboratories has been focused on adapting social simulations to the world of business, as a technique to support better decision making.

The new development applies social simulations to the real-world business problem of a retail store layout design. In a retail store, the layout and number of cash registers can have a significant impact on crowding. Although queuing theory has long made it possible to analyze waiting times in lines at cash registers, it has not been possible to grasp the ways that the layout of a store can effect in-store crowding. By modeling the behavior of shoppers at cash registers, the technology reproduces the conditions that lead to crowding. This makes it possible to compare crowding levels under different conditions and to understand the factors that cause crowding, enabling informed decisions based on more information.


While there is a growing interest in improving productivity in the service sector, the fact that services need to accommodate for a complex range of conditions, including individual customer characteristics, means that typical engineering-oriented techniques are difficult to apply to decision making. As such, stores are run based on the experience and instincts of managers. On the other hand, there has been much interest in social simulation research that supports understanding of complex social phenomena. Social simulation aims to support decision making and human reasoning by modeling human behavior and simulating interactions. But social simulation is a new field, and few studies have been used practically in a business context.

Technological Issues

New types of checkout systems have been introduced to reduce staffing costs and increase efficiency during the payment process at cash registers in supermarkets, drugstores, and other retailers. Typically, when studying crowded conditions in stores, queuing theory is used to calculate waiting times, by varying the number of registers and shoppers, but real-world observations of crowding in stores have shown that, depending on time of day, all registers may be equally busy, or some may be empty while others are particularly busy (Figure 1).

Fujitsu Laboratories has now used social simulation to reproduce these crowding situations. A challenge for this retail technology is to clarify the behavioral logic of shoppers that will reproduce all of the crowding situations shown in Figure 1 in order to create a single behavioral model of shoppers.

Figure 1: Patterns of crowding observed in actual stores

About the New Technology

By combining three behavioral logics of shoppers, Fujitsu Laboratories was able to clearly reproduce all of the actual observed patterns of crowding shown in Figure 1. Figure 2 illustrates each area of logic.

  1. Limitation: shoppers are limited in their field of view, and can only reach registers within a fixed range.
  2. Assessment: Among reachable registers, shoppers will assess the number of people waiting at each register and the distance.
  3. Avoidance: To avoid interference with multiple other shoppers, shoppers will change their routes.

Figure 2: Movement logics of shoppers

When these behavioral rules were modeled and changes in crowding situations were simulated, the crowding situations shown in Figure 3 resulted, reproducing those observed in the real world. Eliminating any one of the three areas of logic made it impossible to reproduce these states.

Figure 3: Crowding situations resulting from simulations


This technology makes it possible to visualize a variety of potentially crowded situations resulting from changes to a number of factors, including the number and layout of registers as well as lane opening and closing times, using a technique called scenario analysis(1). Based on these visualization results, a variety of risks and possibilities for the store can be studied in advance, and changes to these factors, or the use of more staff to guide shoppers to empty registers, can be discussed. This would be done to enable better decisions based on more information.

As described below, this technology was used to analyze the effect of different register layouts on crowding. Here are results displaying the impact each of the two register layouts below has when most customers appear from a central aisle.

Figure 4: Sample scenarios with different register layouts

Even with the same layout, other variables, such as the number of shoppers and the number of articles they are buying, will mean different results, so these factors were set randomly, and multiple simulations were performed. Figure 5 shows the average time required for a shopper to check out for every ten rounds of simulation.

Figure 5: Simulation results

Comparing the average times for every ten rounds shows that Layout 1 requires more time to check out. Layout 2, however, in some cases also required a long time. Analyzing these crowding situations reveals that long waiting times are the result of shoppers with a lot of items being concentrated around the central registers, so clearly what is needed is a way to guide them to other registers. This technology makes it possible to develop a detailed understanding of crowding situations and study ways to improve them.

Future Plans

Fujitsu Laboratories has already applied this technology to visualize the complex factors leading to crowding situations in retail stores. In 2013, it plans to launch a business trial to support decision making with regard to layout design using a simulator that incorporates this technology. Beyond that, Fujitsu Laboratories will seek to apply this technology to other complex service operations, including customer support, social welfare and healthcare. It will also continue advancing social simulation techniques, assessing the effects of new solutions in advance, and developing decision-support technologies.

  • [1] Scenario analysis

    Analysis of problems that occur in a variety of possible outcomes discovered through running simulations of current scenarios and also scenarios where particular corrective measures are aimed to be implemented. Scenario analysis is a technique proposed by Professor Shingo Takahashi of Waseda University.

About Fujitsu

Fujitsu is the leading Japanese information and communication technology (ICT) company offering a full range of technology products, solutions and services. Over 170,000 Fujitsu people support customers in more than 100 countries. We use our experience and the power of ICT to shape the future of society with our customers. Fujitsu Limited (TSE:6702) reported consolidated revenues of 4.5 trillion yen (US$54 billion) for the fiscal year ended March 31, 2012. For more information, please see

About Fujitsu Laboratories

Founded in 1968 as a wholly owned subsidiary of Fujitsu Limited, Fujitsu Laboratories Limited is one of the premier research centers in the world. With a global network of laboratories in Japan, China, the United States and Europe, the organization conducts a wide range of basic and applied research in the areas of Next-generation Services, Computer Servers, Networks, Electronic Devices and Advanced Materials. For more information, please see:

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Date: 13 December, 2012
City: Kawasaki, Japan
Company: Fujitsu Laboratories Ltd., , , , , , , , , ,