EKITI STATE UNIVERSITY, ADO EKITI AOCOED DIRECTORATE OF DEGREE PROGRAMME CSC 306: OPERATIONS RESEARCH ASSIGNMENT INSTRUCTION: ATTEMPT ALL QUESTIONS DUE DATE: 16/01/2015 Question 1: Examine the Deterministic and Probabilistic Queuing Models and state the underlying assumptions for each of them. What are the difference(s) between the two types of Queuing models? Question 2: In a State Community College, there is currently one person, the Registrar, who registers students for classes. Students arrive at a rate of 10 per hour (Poisson) and the registration process takes 5 minutes on the average (exponential). The Registrar is paid N1,500 per hour, and the cost of keeping students waiting is estimated to be N250 for each student for each hour waited (not including service time). Two options are available to improve service. One option is that service can be computerized, resulting in a service time of exactly 4 minutes. The computer rental cost is N2,000 per hour. The second option is hiring a more efficient registrar. Service time could be reduced to an average of 3 minutes (exponential), and the registrar would be paid N2,500 per hour. What are the hourly costs for each of the three systems? Which of the three systems would you recommend to be used? Question 3: Extensively discuss the following types of Simulation Models with examples. Continuous Models Discrete Models Finite Population Infinite Population Question 4: The Bisola Garment Company manufactures men’s shirts and women’s louses for Walex Discount Stores. Walex will accept all the production supplied by Bisola. The production process includes cutting, sewing, and packaging. Bisola employs 25 workers in the cutting department, 35 in the sewing department, and 5 in the packaging department. The factory works one 8-hour shift, 5 days a week. The following table gives the time requirements and prices per unit for the two garments: Minutes per unit Garment Cutting Sewing Packaging Unit price (N) Shirts 20 70 12 8,00.00 Blouses 60 60 4 1,200.00 Determine the optimal weekly production schedule for Bisola Garment Company. Determine the worth of 1 hour of cutting, sewing, and packaging in terms of the total revenue If overtime can be used in cutting and sewing, what is the maximum hourly rate Bisola Garment Company should pay for overtime?
Posted on: Fri, 02 Jan 2015 16:56:51 +0000
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