To provide: The examples of four situations where there is limited or finite waiting line. 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.

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Question 3 [Soalan 31 Jeruk Pak Abu's Store in Butterworth, Pulau Pinang, maintains a successful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party who has waited the longest is transferred and serviced first. Calls come in at a rate of about 12 per hour. The clerk can take an order in an average of 4 minutes. Calls tend to follow a Poisson distribution, and service times tend to be negative exponential. The cost of the clerk is RM10 per hour, but because of lost good -will and sales, Jeruk Pak Abu's Store loses about RM25 per hour of customer time spent waiting for the clerk to take an order. [Kedai Jeruk Pak Abu di Butterworth, Pulau Pinang, mempunyai bahagian penjualan katalog yang berjaya di mana seorang kerani mengambil pesanan melalui telefon. Sekiranya kerani itu sibuk…

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Chapter D, Problem 12DQ

Summary Introduction

To provide: The examples of four situations where there is limited or finite waiting line.

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.

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Question 3 [Soalan 31 Jeruk Pak Abu's Store in Butterworth, Pulau Pinang, maintains a successful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party who has waited the longest is transferred and serviced first. Calls come in at a rate of about 12 per hour. The clerk can take an order in an average of 4 minutes. Calls tend to follow a Poisson distribution, and service times tend to be negative exponential. The cost of the clerk is RM10 per hour, but because of lost good -will and sales, Jeruk Pak Abu's Store loses about RM25 per hour of customer time spent waiting for the clerk to take an order. [Kedai Jeruk Pak Abu di Butterworth, Pulau Pinang, mempunyai bahagian penjualan katalog yang berjaya di mana seorang kerani mengambil pesanan melalui telefon. Sekiranya kerani itu sibuk…

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