Sinkron : Jurnal dan Penelitian Teknik Informatika Volume 8, Number 3, July 2023 DOI : https://doi.org/10.33395/sinkron.v8i3.12601 e-ISSN : 2541-2019 p-ISSN : 2541-044X Sutarman This is an Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. 1528 Mathematical Modelling In Logistics Transportation Problems with The Direct Search Silvi Anggraini Rahman 1)* , Herman Mawengkang 2) ,Sutarman 3) 1) Graduate school of Mathematics, Universitas Sumatera Utara, 20155, Medan, Indonesia 2,3) Department of Mathematics, Universitas Sumatera Utara, Medan, Indonesia 1) silvirahman464@gmail.com 2) mawengkang@usu.ac.id 3) sutarman@usu.ac.id Submitted : Jun 25, 2023 | Accepted : Jun 25, 2023 | Published : Jul 1, 2023 Abstract:Migration of rural communities to cities increases logistics activities in urban areas to meet customer needs because there is a close relationship between economic expansion and usage. Daily fluctuating demand for logistics, uncertain driving times and insufficient parking spaces are some of the factors that link the crisis in urban logistics in urban areas, which directly affects operational costs, the environment and its success or failure. The related steps of modeling optimization have a major impact in making complex transportation and logistics systems competitive with each other. This paper proposes a model optimization to solve transportation problems mathematically. The integer programming model would be suitable for the problems that have been described. the author uses direct search to complete the model. Keywords: Modelling, Logistic problems, Integer Programming, Direct search INTRODUCTION Logistics is often associated with planning, organization, moving, and storing row and finished goods (Ghiani et al., 2013). Likewise organizing resources, the essence of a logistics activity is usually related to the supply of goods with the right type of product, the production and delivery process in the right place, and completion in an efficient time (right product, in the right place, and the right time) better quality accuracy optimization (Roberts, 2007). One of the logistics activities namely; minimizing the total cost of the process of logistics activities and fulfilling the quality of goods in accordance with the wishes of consumers and in accordance with consumer demand. The council of Supply Chain Management Professionals said that in carrying out the logistics process it is necessary, namely, regulate the relationship of goods availability (supply chain) in compiling, implementing, and managing the logistics process and depositing goods, providing information, providing services properly and correctly from the point of origin to the point of destination according to consumer demand (Anderson et al., 2007). In the current digital era, the types of of companies, both on a large, medium and small scale, are building various types of businesses in the culinary, e-commerce, and digital start-up fields so that the