IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i3p403-d1326966.html
   My bibliography  Save this article

Application of Mass Service Theory to Economic Systems Optimization Problems—A Review

Author

Listed:
  • Farida F. Galimulina

    (Logistics and Management Department, Kazan National Research Technological University, 420015 Kazan, Russia)

  • Naira V. Barsegyan

    (Logistics and Management Department, Kazan National Research Technological University, 420015 Kazan, Russia)

Abstract

An interdisciplinary approach to management allows for the integration of knowledge and tools of different fields of science into a unified methodology in order to improve the efficiency of resource management of different kinds of systems. In the conditions of global transformations, it is economic systems that have been significantly affected by external destabilizing factors. This determines the focus of attention on the need to develop tools for the modeling and optimization of economic systems, both in terms of organizational structure and in the context of resource management. The purpose of this review study is to identify the current gaps (shortcomings) in the scientific literature devoted to the issues of the modeling and optimization of economic systems using the tools of mass service theory. This article presents a critical analysis of approaches for the formulation of provisions on mass service systems in the context of resource management. On the one hand, modern works are characterized by the inclusion of an extensive number of random factors that determine the performance and efficiency of economic systems: the probability of delays and interruptions in mobile networks; the integration of order, inventory, and production management processes; the cost estimation of multi-server system operation; and randomness factors, customer activity, and resource constraints, among others. On the other hand, controversial points are identified. The analytical study carried out allows us to state that the prevailing majority of mass service models applied in relation to economic systems and resource supply optimization are devoted to Markov chain modeling. In terms of the chronology of the problems studied, there is a marked transition from modeling simple systems to complex mass service networks. In addition, we conclude that the complex architecture of modern economic systems opens up a wide research field for finding a methodology for assessing the dependence of the enterprise performance on the effect of optimization provided by using the provisions of mass service theory. This statement can be the basis for future research.

Suggested Citation

  • Farida F. Galimulina & Naira V. Barsegyan, 2024. "Application of Mass Service Theory to Economic Systems Optimization Problems—A Review," Mathematics, MDPI, vol. 12(3), pages 1-18, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:3:p:403-:d:1326966
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/3/403/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/3/403/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Agassi Melikov & Laman Poladova & Sandhya Edayapurath & Janos Sztrik, 2023. "Single-Server Queuing-Inventory Systems with Negative Customers and Catastrophes in the Warehouse," Mathematics, MDPI, vol. 11(10), pages 1-16, May.
    2. Shone, Rob & Glazebrook, Kevin & Zografos, Konstantinos G., 2019. "Resource allocation in congested queueing systems with time-varying demand: An application to airport operations," European Journal of Operational Research, Elsevier, vol. 276(2), pages 566-581.
    3. Civelek, Ismail & Biller, Bahar & Scheller-Wolf, Alan, 2021. "Impact of dependence on single-server queueing systems," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1031-1045.
    4. Noa Zychlinski, 2023. "Applications of fluid models in service operations management," Queueing Systems: Theory and Applications, Springer, vol. 103(1), pages 161-185, February.
    5. Song-Kyoo Kim & Chan Yeob Yeun, 2019. "A Versatile Queuing System For Sharing Economy Platform Operations," Mathematics, MDPI, vol. 7(11), pages 1-14, October.
    6. Palmer, Geraint I. & Harper, Paul R. & Knight, Vincent A., 2018. "Modelling deadlock in open restricted queueing networks," European Journal of Operational Research, Elsevier, vol. 266(2), pages 609-621.
    7. Selvi, Ali & Rosenshine, Matthew, 1983. "A queueing system for airport buses," Transportation Research Part B: Methodological, Elsevier, vol. 17(6), pages 427-434, December.
    Full references (including those not matched with items on IDEAS)

    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. Agassi Melikov & Laman Poladova & Janos Sztrik, 2024. "Queuing-Inventory System with Catastrophes in the Warehouse: Case of Rare Catastrophes," Mathematics, MDPI, vol. 12(6), pages 1-19, March.
    2. Rodríguez-Sanz, à lvaro & Fernández de Marcos, Alberto & Pérez-Castán, Javier A. & Comendador, Fernando Gómez & Arnaldo Valdés, Rosa & París Loreiro, à ngel, 2021. "Queue behavioural patterns for passengers at airport terminals: A machine learning approach," Journal of Air Transport Management, Elsevier, vol. 90(C).
    3. Weimin Dai & Jian-Qiang Hu, 2022. "Correlated queues with service times depending on inter-arrival times," Queueing Systems: Theory and Applications, Springer, vol. 100(1), pages 41-60, February.
    4. Jung Woo Baek, 2024. "On the Control Policy of a Queuing–Inventory System with Variable Inventory Replenishment Speed," Mathematics, MDPI, vol. 12(2), pages 1-19, January.
    5. Annear, Luis Mauricio & Akhavan-Tabatabaei, Raha & Schmid, Verena, 2023. "Dynamic assignment of a multi-skilled workforce in job shops: An approximate dynamic programming approach," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1109-1125.
    6. Feray Tunçalp & Lerzan Örmeci & Evrim D. Güneş, 2024. "Capacity allocation in a two-channel service system from a social planner’s perspective," Queueing Systems: Theory and Applications, Springer, vol. 108(1), pages 185-213, October.
    7. Chesoong Kim & Sergey Dudin & Alexander Dudin & Konstantin Samouylov, 2019. "Analysis of a Semi-Open Queuing Network with a State Dependent Marked Markovian Arrival Process, Customers Retrials and Impatience," Mathematics, MDPI, vol. 7(8), pages 1-19, August.
    8. Jin-Won Kim & Namhyuk Ham & Jae-Jun Kim, 2021. "Quantitative Analysis of Waiting Length and Waiting Time for Frame Construction Work Activities Using a Queue Model; Focusing on Korean Apartment Construction," Sustainability, MDPI, vol. 13(7), pages 1-13, March.
    9. Bergantino, Angela Stefania & Intini, Mario & Volta, Nicola, 2020. "Spatial competition and efficiency: an investigation in the airport sector," The Warwick Economics Research Paper Series (TWERPS) 1287, University of Warwick, Department of Economics.
    10. Serife Ozkar & Agassi Melikov & Janos Sztrik, 2023. "Queueing-Inventory Systems with Catastrophes under Various Replenishment Policies," Mathematics, MDPI, vol. 11(23), pages 1-24, December.
    11. Liu, Jian & Chen, Jian & Bo, Rui & Meng, Fanlin & Xu, Yong & Li, Peng, 2023. "Increases or discounts: Price strategies based on customers’ patience times," European Journal of Operational Research, Elsevier, vol. 305(2), pages 722-737.
    12. Bergantino, Angela Stefania & Intini, Mario & Volta, Nicola, 2021. "The spatial dimension of competition among airports at the worldwide level: a spatial stochastic frontier analysis," European Journal of Operational Research, Elsevier, vol. 295(1), pages 118-130.
    13. S. M. Qasim & Jamal A. Farooquie, 2024. "Economics of secondary queue of Indian railways passenger reservation system: a queueing science approach," OPSEARCH, Springer;Operational Research Society of India, vol. 61(4), pages 1795-1824, December.

    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:12:y:2024:i:3:p:403-:d:1326966. 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: 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.