登入
選單
返回
Google圖書搜尋
Two Countries
Ehud Kofman
Hans Brems
Jagdish N. Sheth
Jan K. Brueckner
Jeremy Atack
Julian Lincoln Simon
William S. Hopwood
John E. Gilster
Stephen C. Cosmas
Steven A. Lippman
Walter J. Primeaux
William Arthur Collins
其他書名
International Underemployment Inflationary Steady-state Unbalance Growth
出版
College of Commerce and Business Administration, University of Illinois at Urbana-Champaign
, 1978
URL
http://books.google.com.hk/books?id=sulRAQAAMAAJ&hl=&source=gbs_api
註釋
We consider an M/M/1 queue with two types of customers: priority customers and regular customers. They arrive at the service facility according to two independent Poisson streams and form a single queue according to the order in which they arrive. The two types of customers are distinguished by the holding costs charged per unit time that each of them resides in the queue. The server can either serve customers according to the order in which they arrive or pay a fixed fee R and promote a priority customer, bypassing the customers ahead of him. The server selects the customers to be served so as to minimize the expected average cost per unit of time of operating the system. We show that whenever the number of regular customers bypassed in a promotion times the expected holding costs per priority customer per service period is greather than or equal to R, promotion is strictly optimal. Moreover, for each state there exists a value of R, with R exceeding the number of regular customers bypassed in a promotion times the expected holding costs per priority customer per service period, for which promotion is optimal. This result contradicts previous work in the literature. In addition, we demonstrate that the set of states from which promotion is optimal decreases in the sense of set inclusion as R increases. This fact is the key to an efficient algorithm.