Question: Problem 1 Tiger Cut is a small barber shop which has a single server, where the service time is an exponential random variable with rate

Problem 1 Tiger Cut is a small barber shop which

Problem 1 Tiger Cut is a small barber shop which has a single server, where the service time is an exponential random variable with rate pl. The arrivals to Tiger Cut can be modeled by a Poisson process with arrival rate 1. Suppose that the barber shop has a capacity of 3 (2 waiting + 1 in service), and an arrival is rejected if the capacity is reached. (a) Model this stochastic process as a CTMC. Clearly define the state space, transition rates, and transition probability matrix. (b) In the long run, what is the expected number of customers in the shop

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

Tiger Cut is a small barber shop which has a single server, where the service time is an exponential random variable with rate . The arrivals to Tiger Cut can be modeled by a Poisson process with...

U.S. Copyright Law (title 17 of U.S. code) governs the reproduction and redistribution of copyrighted material. Downloading this document for the purpose of redistribution is prohibited. Chapter 15...

\f3nd Lecture What's cause production performance go south? VARIABILITY ASSESSMENT & ITS IMPACT 1 Books for this class 2 From previous lecture We learn about a method to evaluate the production...

2. In the Fast Shop Market example in this chapter, Alternative II was to add a new checkout counter at the market. This alternative was analyzed using the single-server model. Why was the multiple-...

Independent Journal of Management & Production E-ISSN: 2236-269X ijmp@ijmp.jor.br Instituto Federal de Educao, Cincia e Tecnologia de So Paulo Brasil Gumus, Seigha; Monday Bubou, Gordon; Humphrey...

Task 7 1. A discrete random variable has a mean of 400 and a variance of 64. What is the standard deviation? (Points : 1) 20 64 8 400 None of the above Question 2. 2. Data for a particular...

Which of the following is not a property of linear programs? Question 1 options: one objective function objective function and constraints are linear one or more constraints at least two separate...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

Problem 1 {20 points) American Vending Inc. (AVI) supplies vended food to a large university. Because students often kick the machines out of anger and frustration, management has a constant repair...

\fCHAPTER 14 Server Farms: M/M/k and M/M/k/k In today's high-volume world, almost no websites, compute centers, or call centers consist of just a single server. Instead a \"server farm\" is used. The...

What are examles of tax provisions that help promote: Social Objective: Economic Objectives: Political Objectives:

Mean Limited manufactures a single product, and the following information relates to the actual selling price and actual cost of the product for the four weeks to 31 March 2012: 000 Sales (50 000...

Only tax factors should be considered when deciding on the organization form of the business.O True False

Read the articles on journaling and review the template provided. Identify what approach, to journaling, in the articles you found useful and why. Post to the discussion forum that you have reviewed...