Two Types of Sequential-Cum-Parallel General Optional Service in a Single Server Queue | ||||
The Egyptian Statistical Journal | ||||
Article 6, Volume 46, Issue 1, June 2002, Page 92-117 PDF (11.67 MB) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/esju.2002.313792 | ||||
![]() | ||||
Author | ||||
Kailash C. Madan* | ||||
Dep. of Statistics Faculty of Science, Yarmouk University, Jordan | ||||
Abstract | ||||
We analyze a single server queue with two types of optional general heterogeneous service. Under different options for the customers, the server provides sequential-cum-parallel service. Just before his service starts, a customer has the option to choose both services in succession or only one of the two types of services. Steady state probability generating functions for various states of the system have been obtained in explicit and closed form. Some special cases have also been discussed. | ||||
Keywords | ||||
Optional General Heterogeneous Service; Steady State; Probability Generating Function | ||||
Statistics Article View: 94 PDF Download: 1,521 |
||||