This paper concerns M[X] / M / 1 queue. The number of customers in each arriving unit is a random variable. There is two control threshold values K and N, K is smaller than N. Service rate is switched from u to tu whenever the system size increases to N. The tu rate is switched to u when the system size drops to the value K. We derive the steady-state probabilities of the number of customers in system and the expected number of customers in system. A cost model is introduced for the service cost, queuing cost, and switching cost.
|Number of pages||4|
|Journal||Computers and Industrial Engineering|
|State||Published - 1 Jan 1999|
|Event||Proceedings of the 1998 24th International Conference on Computers and Industrial Engineering - Middlesex, UK|
Duration: 2 Sep 1998 → 4 Sep 1998