OPERATIONS MANAGEMENT IN THE SUPPLY CHAIN: DECISIONS & CASES (Mcgraw-hill Series Operations and Decision Sciences)
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 schedule the tasks of projects.

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.
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