Asymptotic Analysis and Performance-based Design of Large Scale Service and Inventory Systems by Isilay Talay Degirmenci Department of Business Administration Duke University Date: Approved: Otis B. Jennings, Advisor Fernando G. Bernstein Vidyadhar G. Kulkarni Paul H. Zipkin Dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Business Administration in the Graduate School of Duke University 2010