IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i18p2940-d1747097.html
   My bibliography  Save this article

Optimizing Commercial Teams and Territory Design Using a Mathematical Model Based on Clients’ Values: A Case Study in Canada

Author

Listed:
  • Ana Miguel Carvalho

    (Nors Group, S.A., 4149-010 Porto, Portugal
    Banco Português de Investimento, 1050-094 Lisboa, Portugal
    These authors contributed equally to this work.)

  • Cristina Lopes

    (LEMA, ISEP, Polytechnic of Porto, rua Dr. António Bernardino de Almeida, 4249-015 Porto, Portugal
    CEOS.PP, ISCAP, Polytechnic of Porto, rua Jaime Lopes Amorim, 4465-004 São Mamede de Infesta, Portugal
    These authors contributed equally to this work.)

  • Manuel Cruz

    (LEMA, ISEP, Polytechnic of Porto, rua Dr. António Bernardino de Almeida, 4249-015 Porto, Portugal
    These authors contributed equally to this work.)

  • Jorge Santos

    (LEMA, ISEP, Polytechnic of Porto, rua Dr. António Bernardino de Almeida, 4249-015 Porto, Portugal
    These authors contributed equally to this work.)

  • Sandra Ramos

    (LEMA, ISEP, Polytechnic of Porto, rua Dr. António Bernardino de Almeida, 4249-015 Porto, Portugal
    These authors contributed equally to this work.)

  • Filipa Vieira

    (Nors Group, S.A., 4149-010 Porto, Portugal
    These authors contributed equally to this work.)

  • Pedro Louro

    (Nors Group, S.A., 4149-010 Porto, Portugal
    These authors contributed equally to this work.)

Abstract

This study, set in Nors Construction Equipment ST in Canada, addresses logistical challenges by enhancing commercial team evaluation and market sectorization. Traditional performance assessments relied only on sales, lacking other efficiency measures. This research proposes a mathematical function to combine diverse Key Performance Indicators (KPIs) to better evaluate team effectiveness. Additionally, it aims to optimize the sales territory assignment, improving resource allocation across Canada’s expansive, sparsely populated regions. Customer segmentation was conducted using the RFM model, classifying clients into Low-, Mid-, and High-Value groups based on purchasing behavior. For incorporating multiple KPIs in the evaluation of commercial teams’ performance, the Analytic Hierarchy Process (AHP) was used. Sectorization was modeled as a linear programming problem to minimize travel distances while ensuring compact sales territories. Constraints included balancing sales opportunities and customer types across assigned territories. As a result, the proposed optimization model significantly improves operational efficiency through better-balanced sales territories and reduced travel. Improved sectorization enhances market penetration and customer coverage, which is expected to lead to increased sales and support the company’s growth objectives. The mathematical models developed in this study allowed for a deeper understanding of the performance and provided management with tools to refine sales strategies and allocate resources more effectively. The article ends with a discussion on the possibility of ChatGPT being used to replace a mathematician in performing this analysis for the company. It was observed that ChatGPT (version GPT-4o) provided an extremely incomplete solution, evaluating the commercial teams solely based on profit and sales and not addressing the sectorization problem at hand.

Suggested Citation

  • Ana Miguel Carvalho & Cristina Lopes & Manuel Cruz & Jorge Santos & Sandra Ramos & Filipa Vieira & Pedro Louro, 2025. "Optimizing Commercial Teams and Territory Design Using a Mathematical Model Based on Clients’ Values: A Case Study in Canada," Mathematics, MDPI, vol. 13(18), pages 1-16, September.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:18:p:2940-:d:1747097
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/18/2940/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/13/18/2940/
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:13:y:2025:i:18:p:2940-:d:1747097. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.