Practical Management Science
Practical Management Science
5th Edition
ISBN: 9781305250901
Author: Wayne L. Winston, S. Christian Albright
Publisher: Cengage Learning
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Chapter 13.4, Problem 8P
Summary Introduction

To determine: The number of servers that are busy.

Introduction: In order to predict the waiting time and length of the queue, queueing model will be framed. Queueing theory is the mathematical model that can be used for the decision-making process regarding the resources required to provide a service.

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a/ a Minimum cost assign each worker for one job at Jobs J1 12 33 WI 2 4 6 W2 5 W3 5 33 6 7
وبة واضافة هذه القيمة الى القيم Ex: Assign each job for each worker at minimum total Cost عمل لكل عامل وبأقل كلفة ممكنة obs الأعمال Workors العمال J1 J2 J3 J4 W₁ 15 13 14 12 W2 11 12 15 13 W3 13 12 10 11 W4 15 17 14 16
The average completion time (flow time) for the sequence developed using the FCFS rule = 11.75 days (round your response to two decimal places). The percentage utilization for the sequence developed using the FCFS rule = 42.55 % (enter your response as a percentage rounded to two decimal places). b) Using the SPT (shortest processing time) decision rule for sequencing the jobs, the order is (to resolve a tie, use the order in which the jobs were received): An Alabama lumberyard has four jobs on order, as shown in the following table. Today is day 205 on the yard's schedule. In what sequence would the jobs be ranked according to the decision rules on the left: Job Due Date A 212 B 209 C 208 D 210 Duration (days) 6 3 3 8 Sequence 1 Job B 2 3 4 A D The average tardiness (job lateness) for the sequence developed using the SPT rule = 5.00 days (round your response to two decimal places). The average completion time (flow time) for the sequence developed using the SPT rule = 10.25 days…
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