Strategic Retail Location

Location-Allocation Modelling

Briefly, location-allocation has two components.  The location model systematically examines various combinations of retail locations, while the allocation model predicts human behaviour and allocates demand to the most likely supply point, i.e. it assigns a shopper to one or more stores.  Integrating the location and allocation models, we generate a scenario, evaluate its effectiveness, modify and re-evaluate it hundreds or thousands of times, until we find a suitable configuration of stores.  In effect it is a trial-and-error simulation of a large number of store location scenarios.

The location of competing stores can be fed into the system.  The corporate objective may be to avoid competition, or to go head-to-head against it—these and other strategies can be examined. Assuming that the models are properly constructed and calibrated, this is a far less risky method of selecting a store location than to open-in-the-first-available-shopping-centre-and-pray.

Discrete and Continuous Space

There are two modes of location-allocation modelling: continuous space and discrete space.  In the continuous space implementation, a store is free to roam anywhere in the study area; the algorithm pushes the store incrementally over the map until it finds the optimal position. Depending on the data, this just might be an unlikely location: on a railway line, in a lake or atop the CN Tower.  GIS procedures can constrain the domain of wandering to acceptable locations.  In the discrete space implementation we begin with a set of candidate locations, e.g. greensites available for purchase, and select the location best suited to our purpose.

Discrete space mode is usually the more practical option for urban-scale applications, while continuous space mode is better suited to macro-level analysis, or when going into a market with no clear idea where to look.

Technical Detail

Suppose we already have 10 stores, and there are 5 greensite locations from which we wish to select 2, for a total of 12 stores.  Let's call the 15 sites A thru O.  A thru J are the 10 existing stores.  Initially we select K and L.  This can be represented as follows, with black letter representing existing outlets, red letters representing the selected sites, and green letters the unselected candidates:

A B C D E F G H I J K L M N O
<- Existing stores ->
<- Picked the first two ->

This is the location step: we have located stores at K and L.  Now the allocation step is to assign demand to these stores.  Often we assume that shoppers go to the nearest store, but in reality shopper behaviour is more complex and we have to use some type of gravity model. Assume that on the basis of some rule we assign all demand to at least one store.  Then the above configuration can be evaluated and associated with some measure of effectiveness (e.g. the total distance travelled by all shoppers, or our market share or profitability), which we call the objective function.  Similarly we evaluate the objective function for other configurations:

A B C D E F G H I J K L M N O
A B C D E F G H I J K L M N O
A B C D E F G H I J K L M N O

etc

The configuration with the best objective function is the winner.

This seems easy enough conceptually. When applied to a practical retail problem there are several technical aspects that require training and experience:

  1. Determining the objective function and optimization criterion: is it to minimize distance travelled, to minimize the number of people beyond a certain reach (say 50 km), to maximize market share, to maximize sales, to maximize profit, to batter the competition in the short term? Each criterion probably produces a different optimal configuration.
  2. Modelling demand and allocation. The outcome is only as good as these steps.
  3. The method of evaluating all those combinations—choosing 2 from 5 is not a big problem, but when you consider larger networks of stores, the competition, or the option of closing some existing stores, the number of combinations can be in the millions, and can challenge even today's fast computers.
  4. The quality of data that feed the problem, e.g. the positional accuracy of geographic data (street networks) and the sensitivity of the outcome to data quality.


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