Consider the given equation : CT_q = (( c_a^2 + c_e^2) / 2 ) * ( u / 1 - u ) * t_e .The term (( c_a^2 + c_e^2) / 2 ) represents :
a)Distribution
b)Sum of Cycle time of arrival and processing time
c)System utilization
d)Variability
e)None of these
The time-independent Schroedinger equation is given by: − Wave functions that satisfy this equation are called energy eigenstates. a) If U=0 for all positions, this represents a free particle. For a wave function with definite momentum ℏ,, compute E. b) Is the relationship derived from a) consistent with what we know from classical mechanics for a free particle? Explain how or how not. c) Consider the wave function ((^b[j + ^bâj), with A some number and c, d not equal...
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...
Problem 2: (a) Suppose you are given the differential equation Divide the equation be u and rescale time to show this can be written as Give the expression for t and λ in terms of t, wo and wi. (b) Assuming λ « 1, write the solution of the formiz(t)-Σοοολ"rn(t). Plugging this into equation (5), show you can write the equation as Σλ"(afr" + r"-Σ ntEn- r.r.)=0 46m-1 (c) Assume that each term in the sum over n must separately...
Question 1 Unless otherwise stated, assume all times reported refer to averages from exponential distributions and that we are looking at stable processes. If the average time between arrivals is 10 minutes, what is the arrival rate? a. 6 jobs per hour b. 0.1 jobs per minute c. 0.001666 jobs per second d. All of the above 1 points Question 2 For a system with a single server, if the arrival rate is six jobs per hour and the average...
Consider a continuous time system given by the differential equation j(t) + 4y(t) + 4y(t) = 4ü(t) + 2i(t) + 4v(t). Suppose that the input v(t) is given by y(t) = e-2 u(t)where u(t)equals the step signal. Determine the corresponding response y(t), showing all your workings.
Consider the process scheduling table below: Process name Arrival time Processing time Priority A 0 4 3 B 0 6 4 (lowest) с 2 5 2 D 3 3 1 (highest) Draw Gantt charts to show the execution pattern for one cycle for each process using the preemptive SJF.
2. Consider the heat equation on a bounded domain with a zero heat-flux condition, 0<a <1 t > 0, u(z,0) = 2(1-2), (0, t) = 0, 14(1, t) = 0, t >0, t > 0, where σ > 0 is a constant. Such an equation is a model for the distribution of head throughout a rod which is thermally insulated on both ends. (a) Find the solution of the above PDE using separation of variables. You may use anything we...
1. Generally speaking, which of the following is NOT a common feature of a service organization? a. Quality is not easy to measure in service processes b. Customers are more involved in service processes c. Service processes have less variability d. Satisfaction in services is subjective 2. Which of the following is NOT an assumption made in the queueing model discussed in class? a. The arrival rate can be larger than the service rate b. There is infinite waiting room...
Parts arrive at a two-machine system according to an exponential interarrival distribution with mean 20 minutes. Upon arrival, the parts are sent to Machine 1 and processed. The processing-time distribution is TRIA (4.5, 9.3, 11) minutes. The parts are then processed at Machine 2 with a processing-time distribution as TRIA (16.4, 19.1, 21.8) minutes. The parts from Machine 2 are directed back to Machine 1 to be processed a second time (same processing-time distribution ). The completed parts then exit...
Consider a production line with three single-machine stations in series. Each has processing times with mean two hours and standard deviation of two hours. a. Suppose we run this line as a push system and release jobs into it at a rate of 0.45 per hour with arrival variability given by Ca = 1. What is the average WIP in the line? b. Compute the throughput of this line if it is run as a CONWIP line with a WIP...