The Baton Rouge Police Department has five detective squads available for assignment to five open crime cases. The chief of detectives, Jose Noguera, wishes to assign the squads so that the total time toconclude the cases is minimized. The average number of days, based on past performance, for each squad to complete each case is as follows:Squad12345A 10 8 3 4 20B3EET N1314Case ACase B12Case CCase DCase E2577CaseC4724312Squad 2Squad 1Squad 4Squad 5Squad 3DS2ETOEach squad is composed of different types of specialists, and whereas one squad may be very effective in certain types of cases, it may be almost useless in others.The optimal assignment of case to squad that minimizes the total time is:The cumulative time in days of the optimal assignment of cases to squads = days (enter your response as a whole number).1226E212182730

CasesSquadABCDE11034521281271221313252426841473727520712630

Answered: The Baton Rouge Police Department has…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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The Safe Zone Restaurant, a 24-hour restaurant, faces changing requirements from hour to hour. More workers are needed for peak hours, and fewer are needed in between. The following table shows the worker requirement for the first 12 hours in the restaurant: Table 8. Staff Requirement at the Safe Zone Restaurant Time Period 10 11 12 1 PM|2 PM|3 PM|4 PM|5 PM|6 PM 7 PM|8 PM|9 PM АM | АM | РМ Requirement 7 Assigned On Duty Overstaffed 9 10 10 8 6 6. 8 8 12 12 8 a) You are required to apply the first-hour principle to staff each hour with the required number of cafeteria staff, showing how many staff are on duty each given hour, the number of staff you have assigned to work each hour and any overstaffing for each hour. i. Schedule the staff to work in 8-hour shifts. ii. Schedule the staff to work in 4-hour shifts. b) Indicate with at least one reason, which schedule would be more optimal from an Operations Scheduling perspective?
A bank receives loan applications from 6 customers a day. The bank has promised customers that applications will be processed in the order they are received. The table below shows the applications in the order they were received, the processing time for each loan application, and the due date that customers need to hear about their application status: Customer Processing time (days) Due date (days) A 9 13 B 11 18 C 8 11 D 7 13 E 10 22 F 12 28 Average flow time days Average tardiness days Average number of jobs applications
JOHNSON’S RULE Five specialty jobs at a La Crosse, Wisconsin, tool and die shop must be processed through two workcenters (drill press and lathe). The time for processing each job follows:Work (processing) Time for Jobs (hours)JOBWORK CENTER 1(DRILL PRESS) WORK CENTER 2(LATHE)A5 2B3 6C8 4D 10 7E 7 12
A company receives parts from suppliers to be used in its manufacturing departments. The quality control department must perform two operation when shipments are received:i) Operation A-draw a random sample, package, and deliver to testing, andii) Operation B-test the materials and issue a disposition reportThere are currently six shipments waiting to be processed. The time estimates for processing these six shipments through quality control are:Shipment Operation A (hours) Operation B (hours)1 1.5 1.02 1.1 2.73 1.2 1.44 0.7…
The Trim-Look Company makes several lines of skirts, dresses, and sport coats. Recently, a consultant suggested that the company reevaluate its South Islander line and allocate its resources to products that would maximize contribution to profits and to overhead. Each product requires the same polyester fabric and must pass through the cutting and sewing departments. The following data were collected for the study: PROCESSING TIME (HR) Product Cutting Sewing Material (yd) Skirt 1 1 1 Dress 3 4 1 Sport coat 4 6 4 The cutting department has 100 hours of capacity, sewing has 180 hours of capacity, and 60 yards of material are available. Each skirt contributes $5 to profits and overhead; each dress, $17; and each sport coat, $30. a. Specify the objective function and constraints for this problem. b. Use a computer package such as POM for Windows to solve the problem.
At the University Hospital, five blood samples must bescheduled through a blood-testing laboratory. Eachsample goes through up to four different testing stations.The times for each test and the due dates for eachsample are as follows:Sample Test Station/Hours Due Date (hours)1 A/1, B/2, C/3, D/1 62 B/2, C/3, A/1, D/4 103 C/2, A/3, D/1, C/2 84 A/2, D/2, C/3, B/1 145 D/2, C/1, A/2, B/4 12a. Using a Gantt chart, schedule these five samples in priority order of earliest due date first.b. Assume that the capacity of each test station (A, B, C and D) is doubled. Prepare an FCS for this situation.c. What are the bottleneck work centers in part a of the problem. Suggest capacity additions that might be needed.
CC Car Wash specializes in car cleaning services. The servicesoffered by the company, the exact service time, and the resources needed for each of them aredescribed in the table following: service description processing time resources used A. Wash Exterior car washing anddrying 10 min. 1 automated washingmachine B. Wax Exterior car waxing 10 min. 1 automated waxingmachine C. Wheel cleaning Detailed cleaning of all wheels 7 min. 1 employee D. Interior cleaning Detailed cleaning inside thecar 20 min. 1 employee The company offers the following packages to their customers: Package 1: Includes only car wash (service A). Package 2: Includes car wash and waxing (services A and B). Package 3: Car wash, waxing, and wheel cleaning (services A, B, and C). Package 4: All four services (A, B, C, and D).Customers of CC Car Wash visit the station at a constant rate (you can ignore any effects ofvariability) of 40 customers per day. Of these customers, 40 percent buy Package 1, 15…
Panini, a popular sandwich shop, offers 3 types of sandwiches: grilled vegetables, grilled chicken, and pastrami. The table below provides demand data: Grilled Vegetables Grilled Chicken Pastrami Demand per hour 25 9 12 There are up to five steps in the process of making sandwiches listed below with activity times (if no activity time, then than step is not done for that sandwich). Only 50% of customers want their sandwich toasted, no matter which sandwich is ordered. Step Grilled Vegetables(in minutes) Grilled Chicken(in minutes) Pastrami(in minutes) Cut bread 1 1 1 Grill 1.2 1.2 Slice meat 2 Toast 1.2 1.2 1.2 Wrap 0.8 0.8 0.8 Suppose Panini employs 1 worker at each step. a) Does Panini have enough capacity to fulfill the current demand for sandwiches? (b) What is the current capacity cushion for Panini? (as a %) c) If demand for Pastramis increase with the percentage indicated below, how much additional workers should Panini hire (if any), and where…
Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. There exists unlimited demand unless stated otherwise. Time to Complete Task (seconds): Task 1: 30 Task 2: 25 Task 3: 15 Task 4: 20 Task 5: 15 Task 6: 20 Task 7: 50 Task 8: 15 Task 9: 20 Task 10: 25 Task 11: 15 Task 12: 20 The current conveyor-paced assembly-line configuration assigns the workers in the following way: • Worker 1: Tasks 1, 2, 3 • Worker 2: Tasks 4, 5, 6 • Worker 3: Tasks 7, 8, 9 • Worker 4: Tasks 10, 11, 12 What is the direct labor content (in seconds per unit)?
A process improvement team is working to improve the production output at the Johnson Manufacturing plant’sHeader Cell that manufactures a key component, headers, used in commercial air conditioners. A header is partof the circulatory system of a commercial air conditioner that moves coolant between various components suchas the evaporator coil and the condenser coil. Currently, the header production cell is scheduled separately fromthe main work in the plant. Often, individual headers are not sequenced to match the product they go into on thefinal assembly line in a timely fashion, and so the product can sit in queue waiting for a header
An industrial engineer has designed two alternative methods for accomplishing a production job. Both methods involve the acquisition of the same working place and other capital equipment to be used for this job only. Method A calls for a crew consisting of three men each costing Php30/hr. This method will result in the production of 10 units per hour of which two will be reject. Method B calls for a crew of two men each costing Php35/hr and should result in the production of eight units per hour of which one will be reject. The cost of the direct material lost in each reject is Php20. If a certain total number of units is to be produced find which method is economical?
New students who join the university, should visit cer-tain departments in their first day, as part of the registration and induction process. Students are usually allocated to groups of ten,and their visits and their timings are as follows:DEPARTMENT DURATION FOR EACHGROUP (MINUTE)Registration/Finance 60IT 45Library 90Social Club 30Sport Centre 30Student Support Service 45Medical Centre 45Campus Services (banks, restaurant, etc.) 30During the visit, at least one person from the university student support team should be with each team of students. The stu-dent support team has allocated the visit of every two depart-ments to one person as follows: Deborah (Registration and IT), Gemma (Library and Social Club), Frank (Sport Centreand Student support service), and Raj (Medical centre and Campus services). The visits of the departments can be done inany sequence. Based on the current arrangements,a) What is the cycle timeb) What is the throughput per hourc) Total idle time in each…

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