Consider a B&D queuing system which has a finite number of states denoted by n=0, 1,...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider a B&D queuing system which has a finite number of states denoted by n=0, 1, 2, 3, 4. The arrival rates are an = 4- n for n = 0, 1, 2, 3. The service rates are pn-n for n=1, 2, 3, 4. Both rates are expressed using the same time unit such as arrivals and services per week. (a) Give an example of a queuing system which can be described by these arrival and service rates. (b) Calculate the steady-state probabilities {Pn} of the system states using the general approach discussed in class, as well as in the textbook. Determine the expected queue length, the expected arrival rate, and the expected waiting time. (c) Consider this queuing system in its steady-state condition. We assume that if the system is in staten, then the system cost per day is f(n) = n² (costs are expressed in thousands of dollars). Determine the expected system cost per day. Consider a B&D queuing system which has a finite number of states denoted by n=0, 1, 2, 3, 4. The arrival rates are an = 4- n for n = 0, 1, 2, 3. The service rates are pn-n for n=1, 2, 3, 4. Both rates are expressed using the same time unit such as arrivals and services per week. (a) Give an example of a queuing system which can be described by these arrival and service rates. (b) Calculate the steady-state probabilities {Pn} of the system states using the general approach discussed in class, as well as in the textbook. Determine the expected queue length, the expected arrival rate, and the expected waiting time. (c) Consider this queuing system in its steady-state condition. We assume that if the system is in staten, then the system cost per day is f(n) = n² (costs are expressed in thousands of dollars). Determine the expected system cost per day.
Expert Answer:
Answer rating: 100% (QA)
a Give an example of a queuing system that these arrival and service rates can describe An example of a queuing system that these arrival and service ... View the full answer
Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
Posted Date:
Students also viewed these general management questions
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
For the Dupit Corp. case study introduced in Section 11.4, the management science team was able to apply a variety of queueing models by making the following simplifying approximation. Except for the...
-
Differentiate f(x) = log 10 (2 + sin x).
-
The following circuit operates if and only if there is a path of functional devices from left to right. Assume that devices fail independently and that the probability of failure of each device is as...
-
The drawing shows a top view of an object located to the right of a mirror. A single ray of light is shown leaving the object. After reflection from the mirror, through which location, A, B, C, or D,...
-
The smooth, concrete-lined channel shown in Fig. P10.46 is built on a slope of \(2 \mathrm{~m} / \mathrm{km}\). Determine the flowrate if the depth is \(y=1.5 \mathrm{~m}\). Figure P10.46 -6 m- 1.0 m...
-
If you buy a callable bond and interest rates decline, will the value of your bond rise by as much as it would have risen if the bond had not been callable? Explain.
-
Write JavaScript codes for the following program: Declare 2 variables: FirstName and Last Name Get a first name and last name from user and put them in the respecting variables Concatenate the first...
-
Dwight Donovan, the president of Donovan Enterprises, is considering two investment opportunities. Because of limited resources, he will be able to invest in only one of them. Project A is to...
-
Solve the following system of equations. 1 1 -4 1 2 ix+= 3 x = y X
-
Pat has a home based business. He uses the basement area for his business. The basement area is approximately 18% of the total square feet of floor space in the house. Pat provides you with the...
-
The probability that Pete will catch fish when he goes fishing is 0.82. Pete is going to fish 3 days next week. Define the random variable x to be the number of days Pete catches fish. What is the...
-
Instructions - Do the two problems here: A and B. Problem A is a variation of the Sanotronics problem solved in class. Please read the problem description provided in the textbox thoroughly before...
-
Suppose The Management's position had been 95% in the Vanguard index during the time period used with the data and 5% in one of the individual stocks. For each of the two such portfolios (95%...
-
You are an investor and investing in four stock options (SOA, SOB, SOC, and SOD) for a single day. The purchase prices and the historical price standard deviations are as follows: SOA: Purchase Price...
-
- Solve the simultaneous equations y=x y=5x-6
-
1. Using the information from Problem 16-4B, prepare a statement of cash flows for Lim Garden Supplies Inc. using the direct method of presenting cash flows from operating activities. 2. How does Lim...
-
Refer to the activity list given in Prob. 22.2-2 as Christine Phillips does more detailed planning for next springs sales management training program for her company. After constructing the project...
-
Consider the following problem. Maximize Z = 3x1 + 5x2 + 6x3, Subject to and x1 ¥ 0, x2 ¥ 0, x3 ¥ 0, (a) Work through the simplex method step by step in algebraic form. (b) Work through...
-
The Quick Company has learned that a competitor is planning to come out with a new kind of product with a great sales potential. Quick has been working on a similar product that had been scheduled to...
-
Do you expect to be able to observe the diffraction of light through \((a)\) the front door to your house; \((b)\) the holes in a button; (c) the gaps between threads of the fabric of an umbrella?
-
Figure 34.21 shows diffracted \(\mathrm{x}\)-ray intensity as a function of the Bragg angle \(\alpha\), obtained using \(\mathrm{x}\) rays having a wavelength of \(0.11 \mathrm{~nm}\). (a) Without...
-
Coherent green light of wavelength \(530 \mathrm{~nm}\) passes through two very narrow slits separated by \(1.00 \mu \mathrm{m}\). What is \((a)\) the angular location of the first-order bright...
Study smarter with the SolutionInn App