An Inventory Model with Server Interruptions
In this paper,we consider a single server queuing system with inventory where customers arrive according to a Poisson process. Inventory is served at an exponential rate provided there are customers. Inventory is replenished according to the (s,S) policy with zero lead-time. The service process is subject to interruptions,which occurs according to a Poisson process. The interrupted server is repaired at an exponential rate. We assume that during interruption,the customer being served waits there until his service is completed and also that no inventory is lost due to interruption. Stability of the above system is analyzed and steady state vector is calculated explicitly. Explicit formulas for system performance measures such as expected number of customers in the system,expected inventory size,expected interruption rate etc are also obtained.
(s, S) Inventory with random service time service interruption Matrix geometric method
A. Krishnamoorthy Sajeev S. Nair Viswanath C. Narayanan
Department of Mathematics Cochin University of Science and Technology Kochi-22,India Department of Mathematics Government Womens Polytechnic College Thrissur,India Department of Mathematics Government Engineering College Thrissur-9 India
国际会议
北京
英文
43-50
2010-07-24（万方平台首次上网日期，不代表论文的发表时间）