Yousaf Shad Muhammad

Work place: Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan



Research Interests: Generic and Metaprogramming, Combinatorial Optimization, Computer Architecture and Organization, Computer systems and computational processes


Dr. Yousaf Shad Muhammad is currently working as a Assistant Professor (Statistics) in Quaid-i-Azam University, Islamabad, Pakistan. He did his Ph.D. from University of Vienna, Austria in 2006. He was selected as a YSSPer, IIASA (first researcher of Pakistan). He completed a two-year postdoctoral fellowship in NTNU Norway. His research interests are Stochastic Modelling and Optimization, Network Optimization and Computing, Supply and Value Chain Design and Optimization, Scenario Generation, Credit Risk Modelling.

Author Articles
An Efficient Genetic Algorithm for Numerical Function Optimization with Two New Crossover Operators

By Abid Hussain Yousaf Shad Muhammad Muhammad Nauman Sajid

DOI:, Pub. Date: 8 Nov. 2018

Selection criteria, crossover and mutation are three main operators of genetic algorithm’s performance. A lot of work has been done on these operators, but the crossover operator has a vital role in the operation of genetic algorithms. In literature, multiple crossover operators already exist with varying impact on the final results. In this article, we propose two new crossover operators for the genetic algorithms. One of them is based on the natural concept of crossover i.e. the upcoming offspring takes one bit from a parent and next from other parent and continuously takes bits till last one. The other proposed scheme is the extension of two-point crossover with the concept of multiplication rule. These operators are applied for eight benchmark problems in parallel with some traditional crossover operators. Empirical studies show a remarkable performance of the proposed crossover operators.

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