CMA Intermediate · Operations Management and Strategic Management · Scheduling and Queuing Models
In the standard M/M/1 queuing model, the first M, the second M and the 1 respectively describe:
M/M/1 means Poisson arrivals, exponential service times and a single server. M stands for Markovian, or memoryless, in both the arrival and service positions, and the final 1 gives the number of parallel servers, not a limit on customers in the system.
- APoisson arrivals, exponential service times, one serverCorrect
- BExponential arrivals, Poisson service, one queue
- CPoisson arrivals, exponential service times, one customer in the system at a time
- DConstant arrivals, exponential service times, one server
Explanation
Kendall notation lists arrival process, service process and number of servers. M means Markovian: Poisson arrivals (exponential inter-arrival times) and exponential service times. The 1 is the number of servers, not a limit on customers.
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