The port authority in a small East Coast harbour has a staff of pilots who take...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The port authority in a small East Coast harbour has a staff of pilots who take turns on duty in such a way that exactly one pilot is on duty at any time, 24 hours per day, 365 days a year. Canadian shipping law requires that a pilot be on board any vessel for the last few miles into port, on the way out of port, and for any movement within the port (from pier to moorage and vice versa). Ships generate calls for service at a rate of three per day, according to a Poisson distribution. The service times are well approximated by an exponential distribution with a mean of six hours. What is the probability that there are more than two customers waiting in the queue? The port authority in a small East Coast harbour has a staff of pilots who take turns on duty in such a way that exactly one pilot is on duty at any time, 24 hours per day, 365 days a year. Canadian shipping law requires that a pilot be on board any vessel for the last few miles into port, on the way out of port, and for any movement within the port (from pier to moorage and vice versa). Ships generate calls for service at a rate of three per day, according to a Poisson distribution. The service times are well approximated by an exponential distribution with a mean of six hours. What is the probability that there are more than two customers waiting in the queue?
Expert Answer:
Answer rating: 100% (QA)
To solve this problem we can use queuing theory and Littles Law which relates the average number of ... View the full answer
Related Book For
Fundamentals of Cost Accounting
ISBN: 978-0077398194
3rd Edition
Authors: William Lanen, Shannon Anderson, Michael Maher
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...
-
CASE STUDY: PortCentric Versus Inland Location Decisions in Gothenburg, Sweden INTRODUCTION TO PORTCENTRIC LOGISTICS Portcentric logistics means locating a distribution facility at a port (Mangan et...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
In January 2021 Karl sells a one-quarter interest in a chattel for 2,500. On the date of this sale, the remaining three-quarters interest is valued at 8,500. The chattel had cost Karl 3,850 in...
-
Water flowing through a large number of long, circular, thin-walled tubes is heated by means of hot parallel plates above and below the tube array. The space between the plates is evacuated and the...
-
If A and B are square matrices of the same size such that ABAB = 0, does it follow that BABA = 0?
-
An electron and a proton are fired in opposite directions, and at the instant they are nearest each other, their separation distance is \(3.0 \mu \mathrm{m}\) (Figure P28.84). At that instant, the...
-
Letty is hired as a Sales Executive and her role is to sell items which are given to her in a bag. The bag contains n items where each item has an associated ID. Letty is inherently lazy and plans to...
-
n 1 1. lim tantan is equal to 004-1 1+r+r2 2. 3. If the least and the largest real values of a, for which the equation z + a |2-1+21=0(z=C and i=1) has a solution, are p and q respectively, then 4(p...
-
Read and answer the question below. EMBRACE DEMOGRAPHICS AND SOCIETAL CHANGES Using Differences to Drive Value Force 7: Demographics and Societal Changes. One of the most important forces that is...
-
The Dorilane Company produces a set of wood patio furniture consisting of a table and four chairs. The company has enough customer demand to justify producing its full capacity of 4,000 sets per...
-
What are the components of a social intelligence system?
-
Is the "Hello" literal string modifiable? If so, when?
-
What are the types of social networks in social media?
-
What are the key components of an organizational social media policy, and why is it important to have such a policy in place?
-
What does the typedef keyword provide for intrinsic types?
-
What is the difference between a facultative anaerobe, anaerotolerant anaerobe, and an obligate anaerobe? which one iscorrect? a-Obligate anaerobes require an oxygen-free environment tosurvive, but...
-
Conduct a VRIO analysis by ranking Husson University (in Maine) business school in terms of the following six dimensions relative to the top three rival schools. If you were the dean with a limited...
-
Some people claim that the scattergraph and the regression methods go hand in hand. Why?
-
What are the components of total costs in the profit equation?
-
Gunnison Supply provides the following information about resources: In addition, sales for the period totaled $150,000. Required a. Compute unused resource capacity for each resource. b. Describe...
-
How does one choose between communication methods and handle barriers to effective communication?
-
What are the types of interpersonal communication?
-
What are the various forms of virtual communication used in modern organizations?
Study smarter with the SolutionInn App