Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 16, Problem 5PA
Summary Introduction
To determine: The coefficient of variation of the inter-arrival time for the server.
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Huduko Inc. offers a number of computer services. One server handles its own webpage. It receives requests for web pages at the rate of 90 per second. The standard deviation of these interarrival times is 0.02 second. What is the coefficient of variation of theinterarrival times for this server?
A queueing system has an arrival rate of 29 patients per minute (standard deviation of 21) and a service rate of 45 patients per minute
(standard deviation of 26).
(Round your answer to three decimal places.)
What is the coefficient of variation of the arival rate?
A firm is engaged in both shipping and receiving activities. The management is always
interested in improving the efficiency of new innovations in loading and unloading procedures.
The arrival distribution of trucks is found to be Poisson with arrival rate of 3 trucks per
The service time distribution is exponential with unloading rate of 4 trucks per hour. Determine
(i) expected number of trucks in the queue,
hour.
(ii) expected waiting time of the truck in the queue,
(iii) probability that the loading and unloading dock and workers will be idle,
(iv) what reductions in waiting time are possible if loading and unloading is standardised?
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- (Please do not give solution in image format thanku) A single Automated Teller Machine (ATM) is located on the ground floor of a popular shopping mall. Service time at this machine is exponentially distributed. On average, the ATM machine can serve a customer in 3 minutes. Customer arrivals at the machine are Poisson distributed, with an average of 15 customers an hour. Relevant formulas to analyze this M/M/1 model are available in your textbook. What percent of the time is this machine idle? 25% 0% 75% 50% 100%arrow_forward48. Ships arrive at a port facility at an average rate of twoships every three days. On average, it takes a single crewone day to unload a ship. Assume that interarrival andservice times are exponential. The shipping companyowns the port facility as well as the ships using that facility. The companyestimates that it costs $1000 per dayfor each day that a ship spends in port. The crew servicing the ships consists of 100 workers, each of whom ispaid an average of $30 per day. A consultant has recommended that the shipping company hire an additional40 workers and split the employees into two equal-sizecrews of 70 each. This would give each crew an averageunloading or loading time of 1.5 days. Which crew arrangement would you recommend to the company?arrow_forwardThe QRS Trucking Services, has one warehouse servicing its 4 clients within the area. The warehouse hasonly one loading harbor with 3 service crews. The manager has observed that there are certain timeswherein their delivery vans are waiting in the harbor to be loaded. Also, there are instances whereintheir three service crews are idle. Thinking about the situation of their business , the manager noticedthat it follows the Single-Channel Queueing Model.Analyzing the record book, he noticed that the customers’ arrival rate is 3 delivery vans per hour, and onthe average service rate is 5 delivery vans per hour. What advise can you give to the manager about theimplication of adding another service crew, or even two or more crews to increase and improve theservice rate of his loading harbor?If the manager adds one or more service crew(s), the loading harbor can still be considered as a single-channel system, because only one delivery truck ( the customer) can be served at any one time.…arrow_forward
- In a queueing system, customers arrive once every 6 seconds (standard deviation = 5) and services take 5 seconds (standard deviation = 4). (Do nót round intermediate calculations. Round your answer to three decimal places.) customers What is the average number of customers in the queue?arrow_forwardsuppose tht a queueing system has two identical servers, and an exponential service-time distribution with a mean of 1/u=10minutes. furthermore, a customer has just arrived to find two in the system. how long would you expect him to wait before being able to start service? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.arrow_forwardOn a toll road, there are 3 lanes for drivers to pay their toll. Customer arrival times are random, with an exponential distribution. Service times are random, with a general distribution. What is the proper description for this queueing system? Propet descriplionarrow_forward
- What do we mean by the term queue discipline?o Queue discipline refers to how people should behave in a queue.o Queue discipline refers to the study of queues and waiting lines.o Queue discipline refers to policies for deciding the order of receiving service byarrivals.o Queue discipline refers to removing customers from a queue when they misbehave.arrow_forwardIn a D/D/1 queueing systems, the arrival rate and service rate are equal to 6 customers/hour and 12 customers/hour, respectively. What is the average queue length?arrow_forward
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