B.Sc., University of Ibadan, Ibadan, Nigeria, 1974
M.S., Cornell University, Ithaca, NY, 1978
Ph.D., Cornell University, Ithaca, NY, 1980
My current research divides into two broad components, namely, mathematical optimization of complex production systems, and computations on our recent linear programming algorithm based on Fourier-Motzkin Elimination method for linear inequalities.
In the real world, large industrial production systems are complex in that they generally comprise many moving parts that must be carefully coordinated for efficient operation. To improve on the performance of such complex systems, we use mathematical models to approximate and analyze such systems. We have utilized a "homotopy" strategy, among others, which combines concepts of topology and numerical analysis to "continue and extend" what works under suitable simplifying assumptions. Such a homotopy strategy is a classical method known in the literature as "numerical continuation method" or "simplicial method."
In the second component of our current research, we are doing computations on our recent algorithm for linear programming. This algorithm consists of extending the Fourier-Motzkin Elimination method for linear inequalities. Our ultimate goal here is to foster a new generation of simple and efficient commercial software packages for large linear programming problems.