eng Science and Education Publishing American Journal of Modeling and Optimization 2333-1267 2019-04-26 7 1 8 13 10.12691/ajmo-7-1-2 AJMO2019712 article Jaber S. Alzahrani jszahrani@ uqu.edu.sa 1 Department of Industrial Engineering, Engineering College at Alqunfudah, Umm Al-Qura University, Saudi Arabia In this paper, a multi-objective job shop scheduling through the pre-emptive constraint procedure has been formulated to optimize makespan, total earliness and total tardiness. The effectiveness of the model is studied through eighteen 3J*3M and three 10J*10M problems. The model is solved using Mosel language with Xpress software. http://pubs.sciepub.com/ajmo/7/1/2/ajmo-7-1-2.pdf multi-objectives goal programming job shop mixed integer programming pre-emptive constraint procedure