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The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of three jobs per 8-hour day. The company’s repair facility is a single-server system operated by a repair technician. The service time varies, with a mean repair time of 2 hours and a standard deviation of 1.5 hours. The company’s cost of the repair operation is $28 per hour. In the economic analysis of the waiting line system, Robotics uses $35 per hour cost for customers waiting during the repair process.

  1. What are the arrival rate and service rate in jobs per hour? If required, round your answers to three decimal places.
    Arrival rate = jobs per hour
    Service rate = jobs per hour
  2. Show the operating characteristics, including the total cost per hour. If required, round total cost to two decimal places and other answers to four decimal places.

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