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Department of Management Information Systems University of Dhaka Case Problem 2: RIVER CITY FIRE DEPARTMENT (Inventory Models) Course No: MIS-308...

1. Assuming no daily absences and taking into account the need to staff Kelley days, determine the base number of firefighters needed by each unit.
Department of Management Information Systems University of Dhaka Submitted To Abul Kashem, Assistant Professor Department of MIS, Faculty of Business Studies University of Dhaka, Dhaka-1000 Submitted To Abul Kashem, Assistant Professor Department of MIS, Faculty of Business Studies University of Dhaka, Dhaka-1000 Case Problem 2 : RIVER CITY FIRE DEPARTMENT (Inventory Models) Course No: MIS-308 (Management Science) Course Teacher: Abul Kashem Submitted By Md. Imran Hossain Molla ID: 02-058, 3 rd Year 2 nd Semester Department of MIS (BBA), University of Dhaka Submitted By Md. Imran Hossain Molla ID: 02-058, 3 rd Year 2 nd Semester Department of MIS (BBA), University of Dhaka Submission Date Sunday, 23 rd May 2010 Submission Date Sunday, 23 rd May 2010
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Case Problem 2: The River City Fire Department The River City Fire Department (RFCD) fights and fires and provides a variety of rescue operations in the River City metropolitan area. The RFCD staffs 13 ladder companies, 26 pamper companies , and several rescue units and ambulances. Normal staffing requires 186 fire fighters to be on duty every day. RFCD is organized with three firefighting units. Each unit works a full 24-hour day and then has two-days (48 hours) off . For example, Unit 1 covers Monday, Unit 2 covers Tuesday, and Unit covers Wednesday. Then unit 1 returns on Thursday , and so on. Over a three week (21-day) scheduling period , each unit will be scheduled for 7 days . On a rotational basis, firefighters within each unit are given one of the seven regularly seven scheduled days off. This day off is referred to as a Kelley day . Thus, over a-three-week scheduling period , each firefighter in a unit works six of the seven scheduled unit days and gets one Kelley day off . Determining the number firefighters to be assigned to each unit includes the 186 firefighters who must be on duty plus the number of firefighters in the unit who are off for a Kelley day . Furthermore, each unit needs additional staffing to cover firefighter absences due to injury, sick leave, vacations or personal time . This additional staffing involves finding the best mix of adding full-time firefighters to each unit and the selective use of over-time. If the number of absences on a particular day brings the number available firefighters below the required 186 , firefighters who are currently off (e.g. on a Kelley day) must be scheduled to work overtime . Overtime is compensated at 1.55 times the regular pay rate . Analysis of the records maintained over the last several years concerning the number of daily absences show a normal probability distribution. A mean of 20 and a standard deviation of 5 provide a good approximation of the probability distribution for the number of daily absences. Managerial Report Develop a report that will enable Fire Chief O.E Smith to determine the necessary numbers for the Fire Department. Include, at a minimum, the following items in the report: 1. Assuming no daily absences and taking into account the need to staff Kelley days, determine the base number of firefighters needed by each unit . 2. Using a minimum cost criterion, how many additional firefighters should be added to each unit in order to cover the daily absences ? The extra daily needs will be filled by the additional firefighters and, when necessary, the more expensive use of overtime by off- duty firefighters.
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