SPC and Queuing, management assignment help

  1. Elon Corporation manufactures parts for an aircraft company. It uses a computerized numerical controlled (CNC) machining center to produce a specific part that has a design (nominal) target of 1.275 inches with tolerances of +/-0.024 inch. The CNC process that manufactures these parts has a mean of 1.281 inches and a standard deviation of 0.008 inch. Compute the process capability ratio and process capability index, and comment on the overall capability of the process to meet the design specifications.

  2. The ticket booth on the Tech campus is operated by one person, who is selling tickets for the annual Tech versus State football game on Saturday. The ticket seller can serve an average of 12 customers per hour (Poisson distributed); on average, 8 customers arrive to purchase tickets each hour (Poisson distributed). Determine the average time a ticket buyer must wait and the portion of time the ticket seller is busy.

  3. The Universal Manufacturing Company produces a particular product in an assembly-line operation. One of those machines on the line is a drill press that has a single assembly line feeding into it. A partially completed unit arrives at the press to be worked on every 8 minutes, on average, according to an exponential distribution. The machine operator can process an average of 10 parts per hour (Poisson distributed). Determine the average number of parts waiting to be worked on, the percentage of time the operator is working, and the percentage of time the machine is idle.

  4. Resolve the following Case Problem:  Bayside General Hospital is trying to streamline its operations. A problem-solving group consisting of a nurse, a technician, a doctor, an administrator, and a patient is examining outpatient procedures in an effort to speed up the process and make it more cost-effective. Listed here are the steps that a typical patient follows for diagnostic imaging

    • Patient enters main hospital entrance.

    • Patient takes a number and waits to be called to registration desk.

    • Patient registers.

    • Patient is taken to diagnostic imaging department.

    • Patient registers at diagnostic imaging reception.

Submit only one Microsoft word document. Clearly indicate when each question is answered in your submission, explain your findings, and include any calculations.