词条 | Queuing Rule of Thumb |
释义 |
The Queuing Rule of Thumb is a mathematical formula, known as the queuing constraint equation when it is used to find an approximation of servers required to service a queue. The formula is written as an inequality relating the number of servers (s), total number of service requestors (N), service time (r), and the maximum time to finish the queue (T): [1][2] Compared to standard queuing formulas, QROT is simple enough to compute the necessary number of servers without involving probability. It serves as a rough heuristic to address queue problems. [2] Formula
Combining the first three equations gives . Combining this and the fourth equation yields . Simplifying, the formula for the Queuing Rule of Thumb is . UsageThe Queuing Rule of Thumb assists queue management to resolve queue problems by providing the number of servers, the total number of customers, the service time, and the maximum time needed to finish the queue. To make a queuing system more efficient, these values must be adjusted with regards to the rule of thumb.[3] The mathematics underlying Queuing Theory is too complicated for use in most settings.The rule of thumb is simpler and therefore more practical.[1]
Solution: Given r=45, N=1000, T=3600, we use the rule of thumb to get s: . There are 2 sides of the table that can be used. So the number of tables needed is . We round this up to a whole number since the number of servers must be discrete. Thus, 7 serving tables must be provided.[2]
Solution: Given s=1, N=10,000, r=36, the rule of thumb yields T: . Given the work hours for a day is 8 hours (28,800 seconds), the number of registration days needed is days.[2]
Solution: Given N=4500, T=60, r=1, the rule of thumb yields s: . Given the space for each car is 6 meters, the line should be at least meters.[2] See also
References1. ^1 {{cite journal | last = Teknomo | first = Kardi| title = Queuing Rule of Thumb based on M/M/s Queuing Theory with Applications in Construction Management| url = https://www.researchgate.net/publication/260945257 }} 2. ^1 2 3 4 5 6 7 {{cite web | last = Teknomo | first = Kardi| title = Queuing Rule of Thumb | url = http://people.revoledu.com/kardi/tutorial/Queuing/Queuing-Rule-Of-Thumb.html}} 3. ^{{cite conference|last=Teknomo|first=Kardi|date=April 2016|title=Queuing Rule of Thumb|conference=MathCon}} Further reading
Persuasive Technology for Reducing Waiting and Service Cost: A Case Study of Nigeria Federal Medical Centers|first1=Tochukwu Arinze|last1=Ikwunne|first2=Rita|last2=Orji|conference=Proceedings of the First African Conference on Human Computer Interaction|location=Nairobi, Kenya|pages=24–35}} External links
3 : Production planning|Customer experience|Queueing theory |
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