Operation Management Week 6 - 2306 Words

Waiting Line Questions Render with A PROBLEMS 1. A waiting line meeting the M/M/1 assumptions has an arrival rate of 4 per hour and a service rate of 12 per hour. What is the probability that the waiting line is empty? Po = 1 - ÃŽ »/ÃŽ ¼ = 1 - 4/12 = 8/12 or 0.667. (The variety of queuing models, easy) {AACSB: Analytic Skills} 2. A waiting line meeting the M/M/1 assumptions has an arrival rate of 4 per hour and a service rate of 12 per hour. What is the average time a unit spends in the system and the average time a unit spends waiting? Ws = 1 / (ÃŽ ¼ - ÃŽ ») = 1 / (12 – 4) = 1/8 or 0.125; Wq = ÃŽ » / (ÃŽ ¼*(ÃŽ ¼-ÃŽ »)) = 4 / (12*8) = 1/24 or 0.0417. (The variety of queuing models, easy) {AACSB: Analytic Skills} 3. A waiting line meeting the M/M/1†¦show more content†¦The crew cost is approximately $300 per day. The cost associated with lost productivity from the breakdown is estimated at $150 per vehicle per day (or any fraction thereof). Which is cheaper, the existing system with one service crew, or a revised system with two service crews? Ls for the single server is 8 / (11-8) = 8/3 = 2.667. The single-server system server cost is $300 per day; wait cost is $150 x 2.667 = $400, for a total of $700. For the two-server system, Ls = 0.8381. The two-server system will double the server cost to $600, but reduce the wait cost to $150 x .8381 = $125.72, for a total of $725.72. The single-server system is cheaper. (The variety of queuing models, difficult) {AACSB: Analytic Skills} 11. A dental clinic at which only one dentist works is open only two days a week. During those two days, the traffic is uniformly busy with patients arriving at the rate of three per hour. The doctor serves patients at the rate of one every 15 minutes. a. What is the probability that the clinic is empty (except for the dentist)? b. What percentage of the time is the dentist busy? c. What is the average number of patients in the waiting room? d. What is the average time a patient spends in the office (wait plus service)? e. What is the average time a patient waits for service? (a) Po = 1 – 3/4 = 0.25; (b) TheShow MoreRelatedBus 644 Complete Week 6 / Final Paper and Dqs1393 Words   |  6 PagesBUS 644 Complete Week 6 / Final Paper and DQs Purchase here http://chosecourses.com/BUS%20644/bus-644-complete-week-6-final-paper-and-dqs Description BUS 644 Week 6 Final Paper Focus of the Final Paper Read the â€Å"Space Age Furniture Company† case study in Chapter 9 of your text. Answer the following questions: and include any MRP calculations. 1. What options are open to Coral to address this problem? 2. 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