OPERATIONS MANAGEMENT IN THE SUPPLY CHAIN: DECISIONS & CASES (Mcgraw-hill Series Operations and Decision Sciences)
7th Edition
ISBN: 9780077835439
Author: Roger G Schroeder, M. Johnny Rungtusanatham, Susan Meyer Goldstein
Publisher: McGraw-Hill Education
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Chapter 12, Problem 9P
a)
Summary Introduction
To determine: The first job to be processed based on SPT.
Introduction:
Gantt chart is the tool used to allocate the resources and
b)
Summary Introduction
To determine: The first job to be processed based on CR.
Introduction:
Gantt chart is the tool used to allocate the resources and schedule the tasks of projects.
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Problem 2:
Suppose you observe the following arrivals and departures from a single-server queueing system.
Observations begin at time 100.0 (with no one in the queue) and end at 120.0.
Customer Time Customer
#
Arrives to Queue
83
84
85
86
87
88
89
90
91
100.4
101.5
105.1
106.8
108.1
113.5
117.9
118.0
119.9
Time Customer Departs
from Queue and Goes
Into Service
102.3
108.3
109.5
110.6
112.9
114.2
117.9
119.2
After 120.0
Time Customer
Departs From
Server
108.3
109.5
110.6
112.9
114.2
116.3
119.2
After 120.0
After 120.0
1) What is the sample mean, sample standard deviation, minimum, and maximum of the waiting
time in the queue observed for the customers who arrived at, and departed from, the queue
during the time interval [100.0, 120.0]?
Q2. In Aegis life insurance company, the deposit and withdrawal functions associated with cer- tain investment product are separated by two clerks, Stack and Slack. Deposit slips arrive at Stack’s desk according to a Poisson process with a mean rate of 16 per hour. Withdrawal slips arrive at Slack’s desk according to a Poisson process with a mean rate of 14 per hour. The time required to process either transaction has an exponential distribution with a mean of 3 minutes.
Based on this information, answer the following questions:
(a) In the current situation, what model will you apply for analysis of queuing system at Stack’s desk and Slack’s desk? Answer this question by filling the following table.
Model
λ
µ
ρ
Reaches steady state?
Stack's Desk
-
-
-
-
-
Slack's Desk
-
-
-
-
-
(b) What is the expected waiting time of a deposit slip at Stack’s desk? What is the expected waiting time of a withdrawal slip at Slack’s desk?
Suppose “the system” contains both Stack and…
Four trucks, 1, 2, 3, and 4, are waiting on a loading dock at XYZ Company that hasonly a single service bay. The trucks are labeled in the order that they arrived at thedock. Assume the current time is 1:00 P.M. The times required to unload each truck and the times that the goods they contain are due in the plant are given in thefollowing table.Truck Unloading Time (minutes) Time Material Is Due1 20 1:25 P.M.2 14 1:45 P.M.3 35 1:50 P.M.4 10 1:30 P.M.Determine the schedules that result for each of the rules FCFS, SPT, EDD, andCR. In each case compute the mean flow time, average tardiness, and number oftardy jobs.
Chapter 12 Solutions
OPERATIONS MANAGEMENT IN THE SUPPLY CHAIN: DECISIONS & CASES (Mcgraw-hill Series Operations and Decision Sciences)
Ch. 12 - What types of scheduling decisions are management...Ch. 12 - Specify the kinds of objectives that might be...Ch. 12 - Prob. 3DQCh. 12 - How is the scheduling of patients in a doctor's...Ch. 12 - Describe the differences between Gantt charting,...Ch. 12 - Why are m n ma chine-scheduling algorithms not...Ch. 12 - What is the purpose of a planning and control...Ch. 12 - Prob. 8DQCh. 12 - Prob. 9DQCh. 12 - What scheduling rule should be applied to...
Ch. 12 - Prob. 11DQCh. 12 - Students must complete two activities to register...Ch. 12 - Prob. 2PCh. 12 - Sequence the jobs shown below by using a Gantt...Ch. 12 - In problem 3, assume there are two machines of...Ch. 12 - In problem 2, assume there are two machines of...Ch. 12 - The Security Life Insurance Company processes all...Ch. 12 - At the University Hospital, five blood samples...Ch. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - Using the Gantt charts developed in the following...Ch. 12 - How would the theory of constraints be used to...
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- What two things must be done to control queue and meet delivery commitments?arrow_forward(10 Points) Eat well is a small drive through fast food restaurant, staffed by anefficient employee John, is located in a super mall area. Customers arrive at thecounter at an average of one every 15 minutes, and the customer arrival followsa Poisson distribution. John takes at most 10 minutes to process each foodorder.a) What is average number of customer being served at any time?b) The expected number of customers waiting to be served.c) Compute the average time customer wait in the system.d) Compute the average time customer wait in the line.e) What percentage of time is John Idle?arrow_forward7. The manager of a regional warehouse must decide on the number of loading docks to request fora new facility in order to minimize the sum of dock costs and driver-truck costs. The manager haslearned that each driver-truck combination represents a cost of $300 per day and that each dockplus loading crew represents a cost of $1,100 per day.a. How many docks should be requested if trucks arrive at the rate of three per day, each dockcan handle five trucks per day, and both rates are Poisson?b. An employee has proposed adding new equipment that would speed up the loading rate to 6trucks per day. The equipment would cost $100 per day for each dock. Should the managerinvest in the new equipment?arrow_forward
- In question 4, why did we consider the needed waiting for trucks from 6pm to 8am?arrow_forwardThe following 5 overhaul jobs are waiting to be processed at Avianic's Engine Repair Inc. These jobs were logged as they arrived. All dates are specified as planning calendar days. Calculate the Critical Ratios (CR): (Enter all responses rounded to two decimal places.) Job CR Job Due Date Duration (days) 103 103 214 10 205 205 223 309 309 217 11 412 219 412 517 216 15 517 Assume that all jobs arrived on day 180; today's date is 200.arrow_forwardB. Draw and explain the flow charts of the Arrival Event and Service Completion Event.arrow_forward
- Station 1 6 min/unit Station 2 Machine A 15 min/unit 6 minutes 20 minutes 91 minutes 226 minutes Station 2 Machine B 15 min/unit Station 3 10 min/unit Station 4 Machine A 60 min/unit Station 4 Machine B 60 min/unit Station 4 Machine C 60 min/unit A manufacturing plant has four stations in the assembly line (illustrated in the image above). A unit needs to be processed at either Machine A or Machine B for Station 2 (parallel lines, both lines performing the same operations). The box is then processed at Station 3. After that, the unit needs to be processed at either Machine A, Machine B or Machine C in Station 4 before leaving the production line. The process time of each station/machine is indicated in the flowchart. What is the process cycle time of this system measured in minutes?arrow_forwardI need help with question #2arrow_forward(Adapted from Solved Problem 2, p610) Joe’s Auto Seat Cover and Paint Shop is bidding on a contract to do all the custom work for Smiling Ed’s used car dealership. One of the main requirements in obtaining this contract is rapid delivery time, because Ed for some reasons wants the cars face lifted and back to his lot in a hurry. Ed has said that if Joe can refit and repaint the five cars, which Ed has just received, within 60 hours or less i.e., start on 5/14 Friday 8am, to complete by 5/16 Sunday 8pm) the contract will be his. Following the time (in hours) required in the refitting shop and the paint shop for each of the five cars. Assuming the cars go through the refitting operations before they are repainted, can Joe meet the time requirement to get the contract? Please explain clearly the scheduling result. Hint: You may apply online scheduling tools (such as https://job-sequencing.appspot.com/) to help schedule.) Car Refitting Time (Hours) Repainting Time (Hours)…arrow_forward
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