![]() In this process, over a period of time, the system may experience ‘customer waiting’ and/or ‘server idle time’. If the server at the counter is free at the time of arrival, the customer can get served without a waiting time. It is formed when the number of customers arriving is greater than the number of customers being served during a period of time.ĭepending on the server status, the incoming customer either waits at the queue or gets served. ![]() For our library system, I will look at it as one big server which accommodate the students and thus it will be a single channel single phase.Queue is a common word that means a waiting line or the act of joining a line. ![]() Thus, 0.467 services has done for a minute (μ). ![]() Based on figure 16, Let's assume that students do not study longer than 1 hour during normal period as most of the students only spend about an hour to study at library during normal according to the survey, there will be 28 services done within an hour based on figure 16. Thus, 0.367 per minutes of expected arrival. The expected arrival for this period (λ) s 11/30 minutes. Let's take the time interval of 12:00-12:30 pm for queue theory analysis for normal period. During normal period, library has highest population of arrival between 10:00-10:30 am and 12:00-12:30 pm. Let's apply the queue theory to the library system. For example, in figure 8, 28 students has spent 1 hour in library to study. ![]() Figure 16 and 17 exhibits the amount of time spent by students studying at library which is our service done per hour. Based on the data below, during normal period, the expected arrival for the period of 8:00-8:30 am will be 2, the expected arrival for the period of 8:30-9:00 will be 10 and so on. Figure 14 and 15 below shows the arrival of students at libraries during normal period and exam period respectively. Based on this data, the expected arrival per period (λ) and the expected number of service (μ) can be obtained. Figures 14 and 15 represent the number of people at the library for a certain time period. ![]()
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. Archives
January 2023
Categories |