Homework Answers
Add Answer to:
(15 pts) You are given a three server infinite capacity M/M/3 queuing model for a g...
Consider the M/M/1/GD/∞/∞ queuing system where λ and μ are the arrival and server rate, respectively....
Consider the M/M/1/GD/∞/∞ queuing system where λ and μ are the arrival and server rate, respectively. Suppose customers arrive according to a rate given by λ = 12 customers per hour and that service time is exponential with a mean equal to 3 minutes. Suppose the arrival rate is increased by 20%. Determine the change in the average number of customers in the system and the average time a customer spends in the system.
The M/M/m/m Server Loss System: Consider the queuing system given by the following state- transition diagram. Each arri...
The M/M/m/m Server Loss System: Consider the queuing system
given by the following state- transition diagram.
Each arriving customer is given a private server, but there is a
maximum of m servers available. If a customer arrives when all m
servers are busy, the customer is denied service and is turned
away. The arrival rate is Poisson with parameter λ and the service
rate is kμ with 1 ≤ k ≤ m as shown. Use the results obtained in Set...
Problem 8: 10 points Consider a queuing system M/M/1 with one server. Customer arrivals form a...
Problem 8: 10 points Consider a queuing system M/M/1 with one server. Customer arrivals form a Poisson process with the intensity A 15 per hour. Service times are exponentially distributed with the expectation3 minutes Assume that the number of customers at t-0, has the stationary distribution. 1. Find the average queue length, (L) 2. What is the expected waiting time, (W), for a customer? 3. Determine the expected number of customers that have completed their services within the 8-hour shift
3. For a single-server, single-line, single-phase waiting line system, where l represents the mean arrival rate...
3. For a single-server, single-line, single-phase waiting line system, where l represents the mean arrival rate of customers and m represents the mean service rate, what is the formula for the average utilization of the system? a) l / m b) l / (m-l) c) l2 / m(m-l) d) 1 / (m-l) e) l / m(m-l) 4. For a single-server, single-line, single-phase waiting line system, where l represents the mean arrival rate of customers and m represents the mean service...
5) Coolant circulation pump X for continuous operation in a nuclear power station has M yrs. and MTTR 10 hrs. A standby older pump Y with the same capacity is also used with MTBF -22 mo. and MTTR...
5) Coolant circulation pump X for continuous operation in a nuclear power station has M yrs. and MTTR 10 hrs. A standby older pump Y with the same capacity is also used with MTBF -22 mo. and MTTR 15 hrs. Perfect switching between pumps A and B of the plant is assumed. (0) Draw the detailed Markov process graph of the cooling pump system and determine the limiting (steady-state) probability of all states that it is possible to find the...
Problem1 A speaker is modeled with the system model given in the equations below. 2 m (x) + c(x) ...
Problem1 A speaker is modeled with the system model given in the equations below. 2 m (x) + c(x) + kx = Kyi V(t) = L(i) + Ri + Kc(x) Given that the following constants, m- 2E-3 Kg, c 30 N.s/m, k 1.25E+5 N/m, K- Ke 2.5 Vls.m, L-0.02E-3 Henries (H) and R- 2 and the () indicate time derivatives, Find the maximum displacement, Xmax, when the speaker is given an input of V(t)-sin(2ft) when the frequency is varied between...
175-5.* A service station has one gasoline pump. Cars wanting gasoline arrive according to a Poisson...
175-5.* A service station has one gasoline pump. Cars wanting gasoline arrive according to a Poisson process at a mean rate of 15 per hour. However, if the pump already is heing used, these po- tential customers may balk (drive on to another service station). In particular, if there are n cars already at the service station, the prob- ability that an arriving potential customer will balk is n/3 for n 1. 2, 3. The time required to service a...
A diagram of a face-to-face service process is given below. There are four workstations (called "operations"),...
A diagram of a face-to-face service process is given below. There are four workstations (called "operations"), each performing a different task with a single server at each. The expected demand is λ.-25 units per hour. Clerk B Clerk C Clek D w仍 OPI 40 cistomers bour bout 5. Determine the process times (in seconds per unit) for each of the activities. (2 pts) 6. Identify the bottleneck stage and determine the process capacity. (2 pts) 7. If the expected amount...
5 Peu DISUutions Graded (20%) Due: 15/11/2019 Question 1 State three (3) conditions for a situation...
5 Peu DISUutions Graded (20%) Due: 15/11/2019 Question 1 State three (3) conditions for a situation to described using a Binomial model. Write down the pdf for the binomial distribution and give a brief description of each term A random variable X has the distribution Bin( 12,p). (a) Given that p = 0.25 find (0) P(X<5) (ii) PCX >7) (b) Given that P(X = 0) = 0.05, find the value of p to 3 decimal places. (c) Given that the...
Exam No. 2 CCE 342: ELECTROMAGNETISM Mr. Samir Khayat (Zahle) 5 pC/m. It is 1. (15 pts) An infini...
Exam No. 2 CCE 342: ELECTROMAGNETISM Mr. Samir Khayat (Zahle) 5 pC/m. It is 1. (15 pts) An infinite linear charge has a uniform density pl distributed along the line defined by the points A(0,0,0) and B(S,5,5). Find the E-field vector at P(1.2,3). The medium is vacuum. 2. (15 pts) An infinite charged planar sheet of surface charge density ps 2 pC/m is defined by three points: A(1,0,0), B(0,1,0) and C(0,0,1) Find the electric field vector E at P0,0,0). All...
The M/M/m/m Server Loss System: Consider the queuing system
given by the following state- transition diagram.
Each arriving customer is given a private server, but there is a
maximum of m servers available. If a customer arrives when all m
servers are busy, the customer is denied service and is turned
away. The arrival rate is Poisson with parameter λ and the service
rate is kμ with 1 ≤ k ≤ m as shown. Use the results obtained in Set...
Problem 8: 10 points Consider a queuing system M/M/1 with one server. Customer arrivals form a Poisson process with the intensity A 15 per hour. Service times are exponentially distributed with the expectation3 minutes Assume that the number of customers at t-0, has the stationary distribution. 1. Find the average queue length, (L) 2. What is the expected waiting time, (W), for a customer? 3. Determine the expected number of customers that have completed their services within the 8-hour shift
5) Coolant circulation pump X for continuous operation in a nuclear power station has M yrs. and MTTR 10 hrs. A standby older pump Y with the same capacity is also used with MTBF -22 mo. and MTTR 15 hrs. Perfect switching between pumps A and B of the plant is assumed. (0) Draw the detailed Markov process graph of the cooling pump system and determine the limiting (steady-state) probability of all states that it is possible to find the...
Problem1 A speaker is modeled with the system model given in the equations below. 2 m (x) + c(x) + kx = Kyi V(t) = L(i) + Ri + Kc(x) Given that the following constants, m- 2E-3 Kg, c 30 N.s/m, k 1.25E+5 N/m, K- Ke 2.5 Vls.m, L-0.02E-3 Henries (H) and R- 2 and the () indicate time derivatives, Find the maximum displacement, Xmax, when the speaker is given an input of V(t)-sin(2ft) when the frequency is varied between...
175-5.* A service station has one gasoline pump. Cars wanting gasoline arrive according to a Poisson process at a mean rate of 15 per hour. However, if the pump already is heing used, these po- tential customers may balk (drive on to another service station). In particular, if there are n cars already at the service station, the prob- ability that an arriving potential customer will balk is n/3 for n 1. 2, 3. The time required to service a...
A diagram of a face-to-face service process is given below. There are four workstations (called "operations"), each performing a different task with a single server at each. The expected demand is λ.-25 units per hour. Clerk B Clerk C Clek D w仍 OPI 40 cistomers bour bout 5. Determine the process times (in seconds per unit) for each of the activities. (2 pts) 6. Identify the bottleneck stage and determine the process capacity. (2 pts) 7. If the expected amount...
5 Peu DISUutions Graded (20%) Due: 15/11/2019 Question 1 State three (3) conditions for a situation to described using a Binomial model. Write down the pdf for the binomial distribution and give a brief description of each term A random variable X has the distribution Bin( 12,p). (a) Given that p = 0.25 find (0) P(X<5) (ii) PCX >7) (b) Given that P(X = 0) = 0.05, find the value of p to 3 decimal places. (c) Given that the...
Exam No. 2 CCE 342: ELECTROMAGNETISM Mr. Samir Khayat (Zahle) 5 pC/m. It is 1. (15 pts) An infinite linear charge has a uniform density pl distributed along the line defined by the points A(0,0,0) and B(S,5,5). Find the E-field vector at P(1.2,3). The medium is vacuum. 2. (15 pts) An infinite charged planar sheet of surface charge density ps 2 pC/m is defined by three points: A(1,0,0), B(0,1,0) and C(0,0,1) Find the electric field vector E at P0,0,0). All...
Most questions answered within 3 hours.
-
Let G be an undirected graph and let X be a subset of the
vertices of...
asked 13 minutes ago -
Calculate the effective radiation dosage in rems for a 75 ‑kg
person who is exposed to...
asked 30 minutes ago -
No matter how a company measures the benefits provided
by an online business implementation, it usually...
asked 9 minutes ago -
A circular (0.8 m diameter) footing with q=50 kN/m^2 is placed
on the ground surface. Compute...
asked 28 minutes ago -
Suppose there are 1000 students in a business administration
program. 620 students are in an IT...
asked 12 minutes ago -
An empty truck traveling at 10 km/h has kinetic energy. How much
kinetic energy does it...
asked 10 minutes ago -
Physicians add a special dimension to a governing board. What
are the important things to consider...
asked 25 minutes ago -
Rank the following titrations in order of increasing pH at the
halfway point to equivalence (1...
asked 21 minutes ago -
Mr. Smalley, who had been diagnosed as manic-depressive and had
been in and out of mental...
asked 23 minutes ago -
Determine the heat of combustion (ΔH2) for propane
(C3H8) using the bond energy table. HINT: you’ll...
asked 41 minutes ago -
1 Give the host id in binary for the following IP addresses
(assuming classful):
a) 130.11.6.9...
asked 43 minutes ago -
A concert loudspeaker suspended high off the ground emits 32 W
of sound power. A small...
asked 46 minutes ago