M M m K Queue With Additional Servers and Discouragement (RESEARCH NOTE)
محل انتشار: ماهنامه بین المللی مهندسی، دوره: 15، شماره: 4
سال انتشار: 1381
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 179
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شناسه ملی سند علمی:
JR_IJE-15-4_005
تاریخ نمایه سازی: 19 اسفند 1400
چکیده مقاله:
Waiting in long queue is undesirable due to which in some practical situations customers become impatient and leave the system. In such cases providing additional servers can reduce long queue. This investigation deals with multi-server queueing system with additional servers and discouragement. The customers arrive in poisson fashion and are served exponentially by a pool of permanent and additional servers on the basis of FCFS queue discipline. The explicit formula to determine the number of customers in the queue has been obtained. Numerical illustration has been provided to validate the analytical results established. Graphs are drawn for expected number of customers in the system and probability of all additional servers being busy in order to visualize the effect of various parameters.
کلیدواژه ها:
نویسندگان
G. C. Sharma
Mathematics, I.B.S, AGRA
Madhu Jain
Department Of Mathematics, IIT Roorkee,Roorkee,India