IDEAS home Printed from https://ideas.repec.org/a/eee/jaitra/v106y2023ics0969699722001375.html
   My bibliography  Save this article

Long-term audit staff scheduling and planning: A case study of Brazilian civil aviation authority

Author

Listed:
  • Gamermann, Ronaldo W.
  • Ferreira, Luciano
  • Borenstein, Denis

Abstract

This paper provides a customized optimization approach for the long-term audit staff scheduling problem of aviation approved training organizations (ATO) in Brazil. We formulate the problem as a set covering problem by considering both auditors’ assignments and ATO’s arrangements to minimize the total cost of staff traveling. However, the developed formulation is difficult to solve for real-world instances due to the exponential number of decision variables. Further, the formulation is inflexible enough to incorporate peculiarities of each real-world problem. Towards decreasing the problem complexity, allowing to incorporate several real features, a two-phase method is proposed. First, we group the companies to be audited in fewer groups as possible, generating fewer travels. Second, we assign auditors to the groupings of companies generated. A case study is conducted with real data from the Brazilian Civil Aviation Authority regarding audits conducted on aviation organizations. The results show the model can be used during the planning phase of audits, including scenario analysis with different parameters to support decision-makers.

Suggested Citation

  • Gamermann, Ronaldo W. & Ferreira, Luciano & Borenstein, Denis, 2023. "Long-term audit staff scheduling and planning: A case study of Brazilian civil aviation authority," Journal of Air Transport Management, Elsevier, vol. 106(C).
  • Handle: RePEc:eee:jaitra:v:106:y:2023:i:c:s0969699722001375
    DOI: 10.1016/j.jairtraman.2022.102318
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0969699722001375
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jairtraman.2022.102318?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Schneider, Kellie & Nurre, Sarah G., 2019. "A multi-criteria vehicle routing approach to improve the compliance audit schedule for food banks," Omega, Elsevier, vol. 84(C), pages 127-140.
    2. Wang, Xiong & Ferreira, Fernando A.F. & Chang, Ching-Ter, 2022. "Multi-objective competency-based approach to project scheduling and staff assignment: Case study of an internal audit project," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    3. Martin Desrochers & Jacques Desrosiers & Marius Solomon, 1992. "A New Optimization Algorithm for the Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 40(2), pages 342-354, April.
    4. Ruslan Sadykov & François Vanderbeck, 2013. "Bin Packing with Conflicts: A Generic Branch-and-Price Algorithm," INFORMS Journal on Computing, INFORMS, vol. 25(2), pages 244-255, May.
    5. Balaji Gopalakrishnan & Ellis. Johnson, 2005. "Airline Crew Scheduling: State-of-the-Art," Annals of Operations Research, Springer, vol. 140(1), pages 305-337, November.
    6. Bharatendra K. Rai & Bimal Nepal & Angappa Gunasekaran & Yuzhu Li, 2013. "Optimisation of process audit plan for minimising vehicle launch risk using MILP," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 6(4), pages 379-393.
    7. A.T. Ernst & H. Jiang & M. Krishnamoorthy & B. Owens & D. Sier, 2004. "An Annotated Bibliography of Personnel Scheduling and Rostering," Annals of Operations Research, Springer, vol. 127(1), pages 21-144, March.
    8. Dodin, B. & Elimam, A. A. & Rolland, E., 1998. "Tabu search in audit scheduling," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 373-392, April.
    9. Villeneuve, Daniel & Desaulniers, Guy, 2005. "The shortest path problem with forbidden paths," European Journal of Operational Research, Elsevier, vol. 165(1), pages 97-107, August.
    10. Celso C. Ribeiro & François Soumis, 1994. "A Column Generation Approach to the Multiple-Depot Vehicle Scheduling Problem," Operations Research, INFORMS, vol. 42(1), pages 41-52, February.
    11. repec:eme:maj000:02686909710180689 is not listed on IDEAS
    12. Dodin, Bajis & Elimam, A. A., 1997. "Audit scheduling with overlapping activities and sequence-dependent setup costs," European Journal of Operational Research, Elsevier, vol. 97(1), pages 22-33, February.
    13. Ramadan Hemaida, 1997. "A zero‐one programming model for internal audit planning," Managerial Auditing Journal, Emerald Group Publishing Limited, vol. 12(7), pages 331-335, October.
    14. Stefan Irnich & Daniel Villeneuve, 2006. "The Shortest-Path Problem with Resource Constraints and k -Cycle Elimination for k (ge) 3," INFORMS Journal on Computing, INFORMS, vol. 18(3), pages 391-406, August.
    15. Zeghal, F.M. & Minoux, M., 2006. "Modeling and solving a Crew Assignment Problem in air transportation," European Journal of Operational Research, Elsevier, vol. 175(1), pages 187-209, November.
    16. Ethem Çanakoğlu & İbrahim Muter, 2021. "Identical parallel machine scheduling with discrete additional resource and an application in audit scheduling," International Journal of Production Research, Taylor & Francis Journals, vol. 59(17), pages 5321-5336, September.
    17. Ernst, A. T. & Jiang, H. & Krishnamoorthy, M. & Sier, D., 2004. "Staff scheduling and rostering: A review of applications, methods and models," European Journal of Operational Research, Elsevier, vol. 153(1), pages 3-27, February.
    18. George L. Vairaktarakis, 2003. "The Value of Resource Flexibility in the Resource-Constrained Job Assignment Problem," Management Science, INFORMS, vol. 49(6), pages 718-732, June.
    19. Emir Hüseyin Özder & Evrencan Özcan & Tamer Eren, 2020. "A Systematic Literature Review for Personnel Scheduling Problems," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(06), pages 1695-1735, November.
    20. Salewski, Frank & Bartsch, Thomas, 1994. "A comparison of genetic and greedy randomized algorithms for medium-to-short-term audit-staff scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 356, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    21. Van den Bergh, Jorne & Beliën, Jeroen & De Bruecker, Philippe & Demeulemeester, Erik & De Boeck, Liesje, 2013. "Personnel scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 226(3), pages 367-385.
    22. Pentico, David W., 2007. "Assignment problems: A golden anniversary survey," European Journal of Operational Research, Elsevier, vol. 176(2), pages 774-793, January.
    23. Jan Motl & Pavel Kord'ik, 2020. "Fast and exact audit scheduling optimization," Papers 2011.02776, arXiv.org, revised Sep 2021.
    24. Stefan Irnich & Guy Desaulniers, 2005. "Shortest Path Problems with Resource Constraints," Springer Books, in: Guy Desaulniers & Jacques Desrosiers & Marius M. Solomon (ed.), Column Generation, chapter 0, pages 33-65, Springer.
    25. Dodin, Bajis & Huang Chan, K., 1991. "Application of production scheduling methods to external and internal audit scheduling," European Journal of Operational Research, Elsevier, vol. 52(3), pages 267-279, June.
    26. Andreas Drexl, 1991. "Scheduling of Project Networks by Job Assignment," Management Science, INFORMS, vol. 37(12), pages 1590-1602, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xiong Wang & Fernando A. F. Ferreira & Pengyu Yan, 2024. "A multi-objective competency-based decision support system for the assignment of internal auditors to multiple projects," Annals of Operations Research, Springer, vol. 338(1), pages 303-334, July.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Xiong & Ferreira, Fernando A.F. & Chang, Ching-Ter, 2022. "Multi-objective competency-based approach to project scheduling and staff assignment: Case study of an internal audit project," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    2. Arpan Rijal & Marco Bijvank & Asvin Goel & René de Koster, 2021. "Workforce Scheduling with Order-Picking Assignments in Distribution Facilities," Transportation Science, INFORMS, vol. 55(3), pages 725-746, May.
    3. Guy Desaulniers & Diego Pecin & Claudio Contardo, 2019. "Selective pricing in branch-price-and-cut algorithms for vehicle routing," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(2), pages 147-168, June.
    4. Luciano Costa & Claudio Contardo & Guy Desaulniers, 2019. "Exact Branch-Price-and-Cut Algorithms for Vehicle Routing," Transportation Science, INFORMS, vol. 53(4), pages 946-985, July.
    5. Jiliu Li & Zhixing Luo & Roberto Baldacci & Hu Qin & Zhou Xu, 2023. "A New Exact Algorithm for Single-Commodity Vehicle Routing with Split Pickups and Deliveries," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 31-49, January.
    6. Dodin, B. & Elimam, A. A. & Rolland, E., 1998. "Tabu search in audit scheduling," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 373-392, April.
    7. Atoosa Kasirzadeh & Mohammed Saddoune & François Soumis, 2017. "Airline crew scheduling: models, algorithms, and data sets," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 6(2), pages 111-137, June.
    8. Leonardo Lozano & Daniel Duque & Andrés L. Medaglia, 2016. "An Exact Algorithm for the Elementary Shortest Path Problem with Resource Constraints," Transportation Science, INFORMS, vol. 50(1), pages 348-357, February.
    9. Vahid Zeighami & François Soumis, 2019. "Combining Benders’ Decomposition and Column Generation for Integrated Crew Pairing and Personalized Crew Assignment Problems," Transportation Science, INFORMS, vol. 53(5), pages 1479-1499, September.
    10. Burke, Edmund K. & Curtois, Tim, 2014. "New approaches to nurse rostering benchmark instances," European Journal of Operational Research, Elsevier, vol. 237(1), pages 71-81.
    11. Dohn, Anders & Mason, Andrew, 2013. "Branch-and-price for staff rostering: An efficient implementation using generic programming and nested column generation," European Journal of Operational Research, Elsevier, vol. 230(1), pages 157-169.
    12. Sanja Petrovic, 2019. "“You have to get wet to learn how to swim” applied to bridging the gap between research into personnel scheduling and its implementation in practice," Annals of Operations Research, Springer, vol. 275(1), pages 161-179, April.
    13. Heil, Julia & Hoffmann, Kirsten & Buscher, Udo, 2020. "Railway crew scheduling: Models, methods and applications," European Journal of Operational Research, Elsevier, vol. 283(2), pages 405-425.
    14. Neufeld, Janis S. & Scheffler, Martin & Tamke, Felix & Hoffmann, Kirsten & Buscher, Udo, 2021. "An efficient column generation approach for practical railway crew scheduling with attendance rates," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1113-1130.
    15. Tilk, Christian & Rothenbächer, Ann-Kathrin & Gschwind, Timo & Irnich, Stefan, 2017. "Asymmetry matters: Dynamic half-way points in bidirectional labeling for solving shortest path problems with resource constraints faster," European Journal of Operational Research, Elsevier, vol. 261(2), pages 530-539.
    16. Thomas Breugem & Twan Dollevoet & Dennis Huisman, 2022. "Is Equality Always Desirable? Analyzing the Trade-Off Between Fairness and Attractiveness in Crew Rostering," Management Science, INFORMS, vol. 68(4), pages 2619-2641, April.
    17. Stefan Irnich & Guy Desaulniers & Jacques Desrosiers & Ahmed Hadjar, 2010. "Path-Reduced Costs for Eliminating Arcs in Routing and Scheduling," INFORMS Journal on Computing, INFORMS, vol. 22(2), pages 297-313, May.
    18. Wu, Zhiying & Xu, Guoning & Chen, Qingxin & Mao, Ning, 2023. "Two stochastic optimization methods for shift design with uncertain demand," Omega, Elsevier, vol. 115(C).
    19. Hassani, Rachid & Desaulniers, Guy & Elhallaoui, Issmail, 2021. "Real-time bi-objective personnel re-scheduling in the retail industry," European Journal of Operational Research, Elsevier, vol. 293(1), pages 93-108.
    20. Timo Gschwind & Stefan Irnich, 2015. "Effective Handling of Dynamic Time Windows and Its Application to Solving the Dial-a-Ride Problem," Transportation Science, INFORMS, vol. 49(2), pages 335-354, May.

    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:eee:jaitra:v:106:y:2023:i:c:s0969699722001375. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/journal-of-air-transport-management/ .

    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.