Operations Management
Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter D, Problem 1P

a)

Summary Introduction

To determine: The average number of customer waiting for a haircut.

Introduction: The mathematical study which analysis the causes of delay in the waiting line is known as queuing theory. The theory examines all components in the waiting line such as arrival process, service process, and number of servers, system and customers.

b)

Summary Introduction

To determine: The average number of customers in the shop.

c)

Summary Introduction

To determine: The average waiting time of a customer for his turn.

d)

Summary Introduction

To determine: The average waiting time of a customer in the shop.

e)

Summary Introduction

To determine: The percentage of time person R is busy or the utilization factor.

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Question 4 A petrol station in the capital Kingstown has a single pump manned by one attendant. Vehicles arrive at the rate of 20 customers per hour and petrol filling takes 2 minutes on an average. Assume the arrival rate is Poisson probability distribution and service rate is exponentially distributed. Arrivals tend to follow a Poisson distribution, and service times tend to be exponential. The attendant is paid $10 per hour, but because of lost goodwill and sales, station loses about $15 per hour of customer time spent waiting for the attendant to service and order. Part A Answer the following questions based on single channel model: a. What is the probability that no customers are in the system (Po)?! b. What is the average number of customers waiting for service (Lq)? c. What is the average number of customers in the system (L)?………….. d. What is the average time a customer waits for service (Wq)?! e. What is the average time in the system (W)?❤❤ s f. What is the probability that a…
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Question   The new accounts loan officer of the Millennium Commercial Bank interviews all customers for new accounts. The customers desiring to open new accounts arrive at the rate of 4 per hour, according to a Poisson distribution, and the accounts officer spends an average of 12 minutes with each customer, setting up a new account.   Required   1. Determine the operating characteristics (P0, L, Lq, W, Wq and Pw) for this system.       2. Add an additional accounts officer to the system described in this problem so that it is now a multiple-server queuing system with two channels and determine the operating characteristics required in part A.
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