Queuing theory models are applied in practice to analyze____________________?
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Answer: D. all of the above
Explanation
Queuing theory utilizes mathematical probability models to analyze waiting lines, service rates, and customer congestion patterns. These versatile mathematical models apply equally well to inventory control problems, highway traffic congestion, and job-shop scheduling. Any operational scenario involving arrivals, waiting queues, and service facilities can be successfully evaluated using queuing theory. Agner Krarup Erlang originally developed queuing theory to solve telephone traffic congestion problems for Copenhagen telephone exchanges. Queuing models use statistical distributions such as Poisson arrivals and exponential service times to simulate real-world congestion. Industrial engineering applies these models to optimize service counter staffing, machine repair crews, and automated warehouse routing.
Option A is incomplete because queuing theory applies to much more than just inventory problems within industrial facilities. Option B is too narrow since traffic studies represent only one of many practical applications for waiting-line mathematics. Option C is also a partial application because job-shop scheduling represents just one specific domain addressed by queuing models.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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