Examine several queue operating characteristics

Assignment Help Operation Management

Reference no: EM13990060

A small suburban post office is frequented by customers at the rate of 15 per hour. The post office has a single employee who typically processes each customer’s request at an average rate of 3 minutes per transaction. Assume that arrival rate follows a Poisson distribution and servicetime follows an exponential distribution.

a) To determine the efficiency of operations, the postmaster wishes to examine several queue operating characteristics.

a. What is the utilization rate of this service system?

b. What is the average number of customers in line?

c. What is the average time that each customer spends in the queue?

d. What is the average time that each customer spends in the queue and being serviced?

e. What is the probability that the post office employee will be idle?

b) Refer to the information above. The postmaster has been receiving complaints from customers about long waiting time. The postmaster is considering hiring an additional employee who will also be able to process each customer's request at the same rate of 3 minutes per transaction. Assume that the post office pays its employees $12 per hour and that the cost of customer waiting time in terms of customer dissatisfaction and good will is $10 per hour. Assume that arrival rate follow a Poisson distribution and service time follows an exponential distribution. Should the post master hired an additional employee? Compare the total costs of this two employee system with the old single-server queuing system.

Reference no: EM13990060

Questions Cloud

Would a visual presentation enhance its effectiveness : How would you present the information related to this report in a visual manner?

Defects in their processes-how improvement might be measured : Identify Walmart's “defects” in their processes and how improvement might be measured. What would you improve and how should the store implement the changes you are recommending?

Propose a dhcp configuration : Your organization has expanded its network from one subnet to two subnets and is putting 200 computers on the new subnet, with plans for adding up to 100 more computers over the next few years.

Median daily turnover of fish shop : (a) Compute and interpret the (approximate) average daily turnover of the fish shop. (Hint: Use the weighted average formula, with the midpoint of each interval as xi.) (b) Find the median daily turnover of the fish shop. Interpret its meaning.

Examine several queue operating characteristics : A small suburban post office is frequented by customers at the rate of 15 per hour. The post office has a single employee who typically processes each customer’s request at an average rate of 3 minutes per transaction. To determine the efficiency of ..

Define what the position of a project manager : Define what the position of a project manager is and what does a project manager do. Define what the position of a contract manager is and what does a contract manager do

What is the size of one second of filming : You are a movie producer. You have ordered film to be shot at a resoluton of 2002 x 3000 at 64 bit color. Your frames will be shot at 25 frames per second and the movie will be 1 minute long

Consider benefits and challenges linked with project teams : Consider the benefits and challenges linked with project teams as shown in Exhibit 1.8 of the text. Assess the team contributions and determine which you think provides the biggest benefit. Determine which team contribution you think is the biggest c..

Organizational culture-complex clinical work flows : Why has implementation of information technology in health care and public health been so slow in comparison to other industries? Discuss the relative importance of factors such as ?nancial incentives or disincentives, organizational culture, complex..

User Account

All Pages