On Characterizing the Extrema of a Function of Two Variables, One of Which is Discrete

This research was motivated by design problems in queueing theory where the objective function is composed of a discrete variable and a continuous variable. Sufficient conditions are developed such that any local minimum of such an objective function is also a global minimum. A two-parameter design problem associated with an M/E k /1 system is used as an example to show how the conditions are utilized.

• 저널Management Science · 20(1) · 126–129
• 토픽Advanced Queuing Theory Analysis · Management Information Systems
• DOI10.1287/mnsc.20.1.126
• 저자Hillel Kumin