American Journal of Engineering Research (AJER) 2017 American Journal of Engineering Research (AJER) e-ISSN: 2320-0847 p-ISSN : 2320-0936 Volume-6, Issue-11, pp-183-186 www.ajer.org Research Paper Open Access www.ajer.org Page 183 Analysis of Gravity Model with Tanner Barrier Function Influenced By Entropy of Land Use Integrated Chaeranita H.F 1 , Dr. Sobri Abusini, M.T 2 , Prof. Marjono, M.Phil 3 1,2,3 Department of Mathematics, Post Graduate F. MIPA, Brawijaya University, Malang, Indonesia Corresponding Author: chaeranitachf@gmail.com; sobri@ub.ac.id; marjono@ub.ac.id ABSTRACT: The distribution of movement is one of the important steps in transportation, which at this stage is shown in the form of Destination Matrix (MAT). MAT is a matrix that states the movement of a person from a region to another region for various reasons, whether for reasons of education, work, shopping, and so on. The Gravity model is influenced by the Tanner resistance function and the integrated Land use Entropy is used to calculate the future MAT. There are parameters ȕ = -0.048 and Ȗ = 0.ββ5 which respectively show the cost of a person performing the movement and the integrated land use Entropy. Ampenan, Sekarbela, Mataram, and Selaparang sub-districts are used as research areas. The result of the prediction of future MAT forecast indicates that the movement from Ampenan sub-district to Selaparang sub-district is the highest total movement of 17,421. Keywords:Gravity Model, Tanner Barrier Function, Entropy Land Use Integrated --------------------------------------------------------------------------------------------------------------------------------------- Date of Submission: 08-11-2017 Date of acceptance: 22-11-2017 --------------------------------------------------------------------------------------------------------------------------------------- I. INTRODUCTION The era of globalization as it is today makes transportation a fundamental and important need to be fulfilled. The need for transportation arises as a result of human needs requiring a movement that will link a land use and other land use.Changing the location of urban land use, creating new problems in meeting daily needs. Frequent transportation problems are congestion, accidents, pollution generated, and other problems. Therefore, there needs to be transportation planning to minimize the transportation problems.The city of Mataram is a city that requires transportation planning for the future, because Mataram City is located on the island of Lombok which is a tourist area. There are four sub-districts in Mataram which are the study in this research, which is Ampenan, Sekarbela, Mataram and Sekarbela sub-districts. The model for transport planning used is the distribution of movement. The distribution of the trip or trip distribution is the stage that predicts the movement from the origin zone to a particular zone considering the influence of the level of accessibility between the zones and the rate of rise and pull of movement. This stage can be described in the form of Destination Matrix (MAT).Tamin (2000) says that a simple and often used method of synthesis by researchers is the Gravity Model. The model for estimating the flow of MAT traffic in transportation planning and modeling is the Gravity Model with double boundaries, namely the limits of the rise and the pull of movement. In the model there is an obstacle function that refers to a person's ease in doing movement (cost, distance, time, etc.). In the resistance function there is an ȕ parameter that must be calibrated. The previous research which discussed the Gravity Model is Murat (2010) which uses the function of resistance bar and exponential negative and uses Hyman Algorithm to calibrate the parameter ȕ. Grange et al., (2010) using Gravity Model and Entropy Model with multi objective. Li et al (2011) used the Gravity Entropy Maximization Model with a quadratic cost limit. Abdel-Aal (2014) uses the Gravity Model with Maximum Likelihood calibration process. Novacko et al (2014) uses the Gravity Model with a Module calibration on PTV Visum Software. Luo (2015) uses the Gravity Model and Maximum Entropy Model and calibration using the Hyman Algorithm. In contrast to Luo's (2015) research, this Research discusses the Gravity Model influenced by the integrated land use entropy and Tanner's obstacle function, where in the area of origin i and destination d there are several land uses. In addition to the ȕ parameter, there are parameters that show the d iversity of land use of a zone, which is indicated by the parameter Ȗ.