Plenary Lecture

On the Optimality of a General Production Lot Size Inventory Models with Variable Parameters

Professor Zaid Balkhi
King Saud University, College of Science
Department of Statistics and Operations Research
Saudi Arabia
E-mail: ztbalkhi@ksu.edu.sa

Abstract: A general production lot size dynamic inventory model with deteriorating items for which the rates of demand, production, deterioration as well as the cost parameters are arbitrary and known functions of time is considered in this paper. Shortages are allowed but are partially backordered. Both inflation and time value of money are taken into account. The objective is to minimize the total net inventory cost. The relevant model is built, solved and some main results about the uniqueness and the global optimality of this solution, with the use of rigorous mathematical methods, are obtained. An illustrative example is provided.

Brief Biography of the Speaker:
Degrees: B.Sc. in mathematics (Probability and Mathematical Statistics Section) Damascus University 1971-High Diploma in pure mathematics, Damascus University 1979 - Studying several post graduate courses in Optimization, Probability and Statistics Brussels University 1980 - Dr. of Science in applied mathematics (Belgian Ph.D in applied mathematics- OR oriented) with honors, University of Brussels 1983.
Positions: Professor in King Saud University, College of Science, Department of Statistics and Operations Research since May 2005.,Associate Professor King Suad University, College of Science, Department of Statistics and Operations Research, 1998 -Assistant Professor, King Saud University, College of Science, Department of Statistics and Operations Research, From 1983 to 1998- Demonstrator in Mathematic Department in Damascus University 1979.
Professional Experience: He has about 27 years academic teaching experience in Operations Research, Statistics, and Mathematics, supervising several M.Sc. and PhD thesis., Main contributor in the design and development of the B.Sc. and M.Sc. and PhD Programs in Operations Research And Statistics in the Department of Statistics and Operations Research in King Saud University (Riyadh - Saudi Arabia), Member in the editorial board of “Journal of Scientific Inquiry” , Acting as a referee for more than 15 specialized and leading international journals (more than 20 papers per year) . He contributed in many Local and International Scientific Conferences and Symposiums. He Contributed in giving consultations in solving local real problems in Saudi Arabia using the OR techniques.
His Research Interests: are in Applied Mathematic (Operations Research Oriented). In particular, Optimal Search problems where he has more than 10 research papers. Recently he research turns to Inventory Control problems with more than 35 publications in a scientific and leading journals.. He also authored 4 books in Fundamentals of Operations Research, Inventory Control, Game Theory, and Integer Programming.