Cultivating Efficiency: Streamlining Food Delivery Logistics Through Graphical Networks and Eternal m-Certified Domination number

Jiny D, Mary; Navamani, G; Kumar, Raman; Stević, Željko; Karabašević, Darjan; Kumar, Rajender

doi:10.22068/ijiepr.35.3.2029

Volume 35, Issue 3 (IJIEPR 2024) IJIEPR 2024, 35(3): 33-43 | Back to browse issues page

‎ 10.22068/ijiepr.35.3.2029

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Jiny D M, Navamani G, Kumar R, Stević Ž, Karabašević D, Kumar R. Cultivating Efficiency: Streamlining Food Delivery Logistics Through Graphical Networks and Eternal m-Certified Domination number. IJIEPR 2024; 35 (3) :33-43
URL: http://ijiepr.iust.ac.ir/article-1-2029-en.html

Cultivating Efficiency: Streamlining Food Delivery Logistics Through Graphical Networks and Eternal m-Certified Domination number

Mary Jiny D¹

, G Navamani¹

, Raman Kumar²

, Željko Stević

³, Darjan Karabašević⁴

, Rajender Kumar⁵

1- Department of Mathematics, Saveetha School of Engineering, SIMATS, Chennai-602105, Tamilnadu, India
2- Department of Mechanical and Production Engineering, Guru Nanak Dev Engineering College, Ludhiana, Punjab, 141006, India
3- University of East Sarajevo, Faculty of Transport and Traffic Engineering, Vojvode Mišića 52, 74000 Doboj, Bosnia and HerzegovinaSchool of Industrial Management Engineering, Korea University, 145 Anam-Ro, Seongbuk-Gu, Seoul 02841, Korea, , zeljkostevic88@yahoo.com
4- Faculty of Applied Management, Economics and Finance, University Businesses Academy in Novi Sad, 11000 Belgrade, Serbia
5- School of Engineering and Technology, Manav Rachna International Institute of Research and Studies, Faridabad, India & Chitkara Center for Research and Development, Chitkara University, Pinjore, Himachal Pradesh-174103 India

Abstract: (887 Views)

The increasing demand for food delivery services driven by technological innovations has led to a surge in online shopping and food ordering. Efficient logistics play a crucial role in connecting customers with restaurants seamlessly. In this context, the practical application of graphical networks is explored in this article to streamline food delivery operations. We introduce a novel parameter eternal m-certified domination number denoted by γmcer∞(G) , which represents the minimum number of guards needed to handle any sequence of single orders using multiple-guard movements, ensures that the guard arrangement consistently constitutes a certified dominating set. A case study is presented, illustrating how this concept can be employed to de-crease human resources in a food delivery start-up. This research contributes to optimizing food delivery logistics and reducing operational costs, thereby enhancing the efficiency of the food delivery industry.

Keywords: Domination number, Eternal m-domination number, Certified domination number, Online food delivery, Business logistics

Full-Text [PDF 574 kb] (210 Downloads)

Type of Study: Research | Subject: Logistic & Apply Chain
Received: 2024/05/1 | Accepted: 2024/06/9 | Published: 2024/09/18