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Question

Identify the odd one out with respect to queuing theory.

The correct answer is

Shelving

Understanding Queuing Theory Concepts

Queuing theory is a mathematical study of waiting lines, or queues. It analyzes various processes associated with waiting in line, such as arrival times, service times, the number of servers, and customer behavior while waiting.

Identifying the Odd Term in Queuing Theory

The question asks us to identify the term that does not fit within the context of queuing theory from the given options: Shelving, Reneging, Jockeying, and Balking. Let's look at what each term means:

  • Balking: This refers to a customer who decides not to join the queue at all after observing the queue length or waiting time. They arrive but choose not to wait.
  • Reneging: This refers to a customer who joins the queue but leaves before being served because the wait is too long or they become impatient. They wait for some time, but then depart.
  • Jockeying: This occurs in systems with multiple queues. It refers to a customer switching from one queue to another in the hope of being served faster.
  • Shelving: This term is related to placing items on a shelf for storage or display. It is not a term used in the study of waiting lines or queuing theory.

Based on these definitions, Balking, Reneging, and Jockeying are all terms describing different types of customer behavior related to waiting in a queue. Shelving, however, describes a physical act unrelated to waiting lines or queuing systems.

Conclusion

Therefore, 'Shelving' is the term that is the odd one out with respect to queuing theory as it does not represent a concept or behavior within this field of study.

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Important Questions from Queueing Theory

  1. The probability of getting a total of 7 on two dice thrown together is:

  2. If moment generating function of continuous random variable X is \(\frac{λ}{λ-t}\)  t < λ, then E(X 3) equals to:

  3. If moment generating function of discrete random variable X is (q + pe t) n, then E(X 2) equal to

  4. If A and B are mutually exclusive events such that P(A) P(B) > 0, then which option is correct?

  5. Two random variables X and Y are said to be independent if:

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