STEM newsletter

Bandwidth aggregation model

30 October 2005

STEM’s template replication feature facilitates the generation of very large, repetitive model structures, where a similar demand or costing methodology must be reproduced consistently for different sites on a network. Key parameters, such as numbers of subscribers or average traffic requirements, are automatically plugged into otherwise identical copies of a common template structure, guaranteeing consistency and vastly simplifying future maintenance of the model.

This technical article uses a cut-down network configuration to illustrate how this technique can be extended to model a two-tier aggregation architecture.

Managing very large, repetitive model structures

Consider the provision of broadband over DSL: each subscriber requires connection to a port on a DSLAM, and sufficient backhaul capacity must be provided for the expected busy-hour traffic load. A simple STEM model captures the costs of the DSL cards and chassis, plus the cost of a suitably dimensioned leased line, based on subscriber and traffic forecasts for three classes of user.

Basic network elements dimensioned according to connections and bandwidth

Aggregating this approach over multiple sites requires more than just increasing the basic subscriber numbers. Attention must be paid to the differing levels of slack capacity in the DSLAM at each site, and on the selection of leased-line capacity at the site level. So the existing model elements for a site are linked as a Template, and can then be automatically reproduced for a number of related Variant elements. The numbers of subscribers for each class of user are identified as parameters for the site Template, and then the respective data per-site are entered in the Template Variant Data table.

 

Site template and variant data for subscriber numbers

Whenever the model is run, STEM automatically generates a separate copy of the Site template for each site-location Variant, and performs the DSLAM and backhaul calculations separately for each site.

Expanded model showing separate cost model for each site

This means that you can explore the full range of technical and financial outputs, both at the individual site level, and correctly aggregated for the network as a whole.

DSLAM numbers for individual sites and total capex for all sites

Aggregating bandwidth by region

Local points of presence are typically grouped together by region, both for reporting purposes, and also for bandwidth aggregation onto a core network. If you just need port numbers or capex spend, broken down by region, then all you need to do is link relevant Variants as a Collection. This single, structural link, enables STEM to calculate regional totals of all the existing per-site results, effectively as sub-sets of the network totals.

Using Collections to aggregate sites by region

Regional totals for subscribers and operating charge

The Collection concept works as an element-grouping mechanism for existing results, but cannot be used to drive other elements in a model. If you want to add a dimensioning calculation based on regional bandwidth totals, then you need to add a device to the site Template to map the bandwidth requirements of a site onto an ‘aggregator’ Resource for the appropriate region. This aggregator Resource effectively sums the used capacity of each of the leased lines coming into the regional hub.

One way to achieve this is to add a ‘region number’ as a parameter for the site template; this functions as an index identifying the appropriate region for a given site, 1.0 for Region 1, 2.0 for Region 2, and so on.

Region number as variant data for the site template

This parameter governs one of the user data for a Transformation called ‘Site bandwidth’, which picks up used capacity for the leased line. Select Requirements from the Transformation icon menu to display the Requirements dialog, and then click the (expand) button to reveal the individual mappings.

Using formulae to control mappings for Resource Requirements per individual site

For the Mapping associated with the Transformation’s Requirement for Aggregator n, you can then use the formula if(Region = = n, 1, 0), so that the bandwidth for each site is only mapped on to the relevant aggregator for a given region.

Expanded model showing discrete mappings

Note: the expanded model will already contain a Collection linking all the relevant Transformations for a given region, which is generated automatically in order to support the regional aggregation of results. However, at the time of writing, a Collection cannot be used to drive other elements in a model, even if its existence could be anticipated!

Automatically generated collections

Mapping aggregate bandwidth into a regional template

So far, we have mapped specific site variants onto the relevant regional aggregator. This aggregator is a Resource, which could be used as a simple cost model for the regional hub. More likely you would want to model the hub in more detail and, for the same reasons as the site, ideally using another template.

However, variant data can only be defined as time-series, and cannot include references to other elements; so it is not possible (at the time of writing) to link an individual hub template directly to the appropriate regional aggregator. Instead, the hub template must include one transformation for each region, where the transformation multiplier can be checked against a region index (inherited from the hub variant data) in order to define an ‘identity matrix’ between the regional aggregators and the copies of the hub template. More specifically, the first of these ‘collector’ transformations defines the region number in User Data (as a template parameter), and then the multiplier for the nth collector is defined with the formula if("Collector 1".Region = = n, 1, 0). When the hub template is expanded, each copy of the hub takes its input only from the appropriate bandwidth collector.

Using formulae to control multipliers for collector transformations per hub

Keeping a model manageable by design

The two-tier replication outlined here takes a little ingenuity and concentration to set up, but requires no special or unusual functionality beyond template replication, user data and formulae. The benefit is a concept for modelling discrete network sites, and (by extrapolation of the same technique) any level of aggregation, which completely avoids the risks and maintenance overhead of manually copied model blocks.

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