Choose the best Option, Short explanation of one-two sentences needed. On average, a service facility experiences 10 customers arriving per hour and a single server can serve 15 customers per hour. Arrival rates and service rates both follow a Poisson distribution. Waiting lines form at this facility because there is not enough average service capacity. No waiting lines form at this facility because the average arrival rate is less than the average service rate. No waiting lines form at this facility because the utilization is less than 1. Waiting lines form at this facility because of variability in interarrival times and service times. What can you say about the relationship between W and Wq in a stable queuing system with ? W is always greater than Wq W is always less than Wq W is always equal to Wq It depends on the type of queuing system If emails arrive to my mailbox according to a Poisson process at a rate of 10 per hour and the time it takes me to “deal with” an email is on average 2 minutes. What are the values of and ? per hour and per hour per hour and per hour per hour and per hour per hour and per hour The quote by Mahatma Gandhi, “The future depends on what we do in the present,” applies most directly to which OR topic: Assignment Problem Integer Programming Markov Chain Queuing Model Trucks arrive at the receiving area of a distribution center according to a Poisson process with an average rate of 4 trucks per hour. The time required to unload a truck is exponentially distributed with a mean of 12 minutes. A single dock is used for unloading the trucks. At most 4 trucks can be in the yard waiting to be unloaded (any other trucks are directed to wait at a nearby diner). What type of queuing system can be used to model this problem? M/M/1 with K=1 M/M/3 with K=3 M/M/1 with K=2 M/M/1 with K=4 M/M/4 with K=1 A pure integer programming model has 5 binary decision variables, a linear objective function, and no constraints (other than restricting the decision variables to only take on values of 0 or 1). If you want to solve this integer program by complete enumeration, how many feasible solutions are there? 5 15 32 25 64 Given binary variables and the following constraint, 5x1+3x2+10x3+4x4+3x5 12, which of the following is a valid cutting plane? x1 + x2 less than 1 x1 + x2 + x3 --- 2 x1 + x2 + x3 --- 1 x4 + x5 --- 1
Choose the best Option, Short explanation of one-two sentences needed.
On average, a service facility experiences 10 customers arriving per hour and a single server can serve 15 customers per hour. Arrival rates and service rates both follow a Poisson distribution.
- Waiting lines form at this facility because there is not enough average service capacity.
- No waiting lines form at this facility because the average arrival rate is less than the average service rate.
- No waiting lines form at this facility because the utilization is less than 1.
- Waiting lines form at this facility because of variability in interarrival times and service times.
What can you say about the relationship between W and Wq in a stable queuing system with ?
- W is always greater than Wq
- W is always less than Wq
- W is always equal to Wq
- It depends on the type of queuing system
If emails arrive to my mailbox according to a Poisson process at a rate of 10 per hour and the time it takes me to “deal with” an email is on average 2 minutes. What are the values of and ?
- per hour and per hour
- per hour and per hour
- per hour and per hour
- per hour and per hour
The quote by Mahatma Gandhi, “The future depends on what we do in the present,” applies most directly to which OR topic:
- Assignment Problem
- Integer Programming
- Markov Chain
- Queuing Model
Trucks arrive at the receiving area of a distribution center according to a Poisson process with an average rate of 4 trucks per hour. The time required to unload a truck is exponentially distributed with a mean of 12 minutes. A single dock is used for unloading the trucks. At most 4 trucks can be in the yard waiting to be unloaded (any other trucks are directed to wait at a nearby diner). What type of queuing system can be used to model this problem?
- M/M/1 with K=1
- M/M/3 with K=3
- M/M/1 with K=2
- M/M/1 with K=4
- M/M/4 with K=1
A pure integer programming model has 5 binary decision variables, a linear objective function, and no constraints (other than restricting the decision variables to only take on values of 0 or 1). If you want to solve this integer program by complete enumeration, how many feasible solutions are there?
-
- 5
- 15
- 32
- 25
- 64
Given binary variables and the following constraint, 5x1+3x2+10x3+4x4+3x5 12, which of the following is a valid cutting plane?
- x1 + x2 less than 1
- x1 + x2 + x3 --- 2
- x1 + x2 + x3 --- 1
- x4 + x5 --- 1
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