operations mgt homework 3

One employee is in charge of the following activities at a bank's drive-through: Activity Activity Time per Customer Greet customer 2 seconds Take order 3 seconds Process order. 2 minutes Print receipt 10 seconds What is the bank's process capacity (in customers per minute)?

0.44 Since there is only one employee, the process capacity = 1/[2 + 3 + (2 × 60) + 10] = 0.007 customer per second = 0.007 × 60 (seconds/minute) = 0.44 customer per minute.

Job candidates are leaving an office every 50 minutes. Each candidate goes through three activities during the office visit: verification, written test, and interview. Verification takes 1 minute, the written test takes 40 minutes, and the interview takes 10 minutes. Assume there is only one resource dedicated to each activity. What is the bottleneck capacity in candidates per hour? 1.2 1.5 2.0 2.5

1.5 Bottleneck capacity = Min(1, 1/40, 1/10) = 0.025 candidate per minute or 1.5 candidates per hour.

cycle time

1/flow rate

One employee is in charge of the following activities at a bank's drive-through: Activity Activity Time per Customer Greet customer 2 seconds Take order 3 seconds Process order 2 minutes Print receipt 10 seconds What is the processing time (in seconds) of the drive-through process at the bank?

135

One employee is in charge of the following activities at a bank's drive-through: Activity. Activity Time per Customer Greet customer. 2 seconds Take order 3 seconds Process order 2 minutes Print receipt. 10 seconds What is the capacity (in customers per hour) of the employee?

26.67 customers per hour. Capacity = 1/[2 + 3 + (2 × 60) + 10] = 0.007 customer per second = 0.007 ×60 (seconds/minute) ×60 (minutes/hour) =

Patients are arriving at a clinic at a rate of two per minute. Each patient's visit consists of four steps: check in, record vital signs, receive treatment, and check out. A receptionist takes 1 minute to check a patient in. A nurse takes 2 minutes to record the patient's vital signs. A doctor spends 10 minutes with a patient. A staff member takes 3 minutes to check a patient out. What is the process capacity in patients per hour? 60 6 20 30

6 Capacity = 1/ Processing time. Capacity at check in, record vital signs, receive treatment, and check out is 1, 0.5, 0.1, and 0.333 patient per minute respectively. The lowest capacity is the bottleneck and is Process capacity = 0.1 patient per minute = 0.1 × 60 (minutes/hour) = 6 patients per hour.

Job candidates are leaving an office every 50 minutes. Each candidate goes through three activities during the office visit: verification, written test, and interview. Verification takes 1 minute, the written test takes 40 minutes, and the interview takes 10 minutes. Assume there is only one resource dedicated to each activity. What is the utilization of the bottleneck resource? 100% 20% 2% 80%

80% Cycle time = 50 minutes. Flow rate = 1/50 = 0.02 customer per minute. Bottleneck capacity = Min(1, 1/40, 1/10) = 0.025 customer per minute. Utilization of the bottleneck resource = Flow rate/Capacity = 0.02/0.025 =

Process Flow Diagram

A graphical way to describe the process. It uses boxes to depict resources, arrows to depict flows, and triangles to depict inventory location.

Resource

A group of people and/or equipment that transforms inputs into outputs.

Process Analysis

A rigorous framework for understanding the detailed operations of a business. Among other things, the process analysis determines how many flow units can be processed per unit of time (the process capacity) and how busy the resources of the process are (utilization).

Patients are arriving at a clinic at a rate of two per minute. Each patient's visit consists of four steps: check in, record vital signs, receive treatment, and check out. A receptionist takes 1 minute to check a patient in. A nurse takes 2 minutes to record the patient's vital signs. A doctor spends 10 minutes with a patient. A staff member takes 3 minutes to check a patient out. What is the cycle time of the process in minutes? 10 20 30 Cannot be determined

Capacity = 1 / Processing time. Capacity at check in, record vital signs, receive treatment, and check out is 1, 0.5, 0.1, and 0.333 patient per minute respectively. The lowest capacity is the bottleneck and is Process capacity = 0.1 patient per minute = 0.1 × 60 (minutes/hour) = 6 patients per hour. Flow rate = Min(Demand, Process capacity) = Min(2, 0.1) = 0.1. Cycle time = 1 / Flow rate = 1 / 0.1 = 10 minutes.

Patients are arriving at a clinic at a rate of two per minute. Each patient's visit consists of four sequential steps: check in, record vital signs, receive treatment, and check out. A receptionist takes 1 minute to check a patient in. A nurse takes 2 minutes to record the patient's vital signs. A doctor spends 10 minutes with a patient. A staff member takes 3 minutes to check a patient out. What is the utilization of the checkout resource? 100% 10% 30% 20%

Capacity = 1 / Processing time. Capacity at check in, record vital signs, receive treatment, and check out is 1, 0.5, 0.1, and 0.333 patient per minute respectively. The lowest capacity is the bottleneck and is Process capacity = 0.1 patient per minute = 0.1 × 60 (minutes/hour) = 6 patients per hour. Flow rate = Min(Demand, Process capacity) = Min(2, 0.1) = 0.1. Utilization of checkout = Flow rate / Capacity of checkout = 0.1 / 0.333 = 30%.

A bank has three tellers. It takes a teller 6 minutes to serve one customer. What is the capacity of the bank (in customers per hour) over the course of an 8-hour workday? 144 48 100 240

Capacity = 3/6 × 60 customers per hour × 8 hours = 240 customers per day.

You are filling your prescription at a pharmacy. Right now, you are waiting in line in front of the pickup window. Which process is upstream, relative to your current position in the process? Paying for the prescription Inspecting the prescription Waiting to take the prescription Dropping off the prescription

Dropping off the prescription

Which of the following statements about process analysis is TRUE? Process analysis is a framework to understand an organization's detailed operations. Process analysis tracks an organization's revenue and costs. Process analysis is the backbone of a company's accounting system. Process analysis enables a business to create demand.

Process analysis is a framework to understand an organization's detailed operations.

Demand Rate

The number of flow units that customers want per unit of time.

Upstream

The parts of the process that are at the beginning of the process flow.

Downstream

The parts of the process that are at the end of the process flow.

Job candidates are leaving an office every 50 minutes. Each candidate goes through three activities during the office visit: verification, written test, and interview. Verification takes 1 minute, the written test takes 40 minutes, and the interview takes 10 minutes. Assume there is only one resource dedicated to each activity. Which of the following conclusions can be drawn? The process is capacity-constrained. The interview resource is the bottleneck. The process capacity is equal to the bottleneck capacity. The process is demand-constrained.

The process is demand-constrained. Process capacity = Min(1, 1/40, 1/10) = 0.025 candidate per minute. Flow rate = 1/Cycle time = 1/50 = 0.02 candidate per minute. The process is demand constrained because the flow rate is less than the process capacity.

Flow Unit

The unit of analysis that we consider in a process analysis; for example, patients in a hospital, scooters in a kick-scooter plant, and calls in a call center.

When will the utilization of a bottleneck resource be less than 100%? When the process is capacity-constrained When the process is demand-constrained When demand is higher than process capacity When demand is equal to process capacity

When the process is demand-constrained A process that is demand-constrained will have a flow rate less than the bottleneck capacity, which means there is slack capacity at the bottleneck resources, causing a less than 100% utilization.

Which of the following is a resource in an outpatient medical clinic? Ambulance X-ray machine Reputation Flu shot

X-ray machine

On a process flow diagram, __________ are used to show the journey of a flow unit from input to output. boxes spheres arrows triangles

arrows

Resources are shown in a process flow diagram as __________. arrows spheres triangles boxes

boxes

Customers drive away after failing to find a place to park at a supermarket. The current process is _________. demand -constrained supply exceeds demand capacity unconstrained capacity constrained

capacity constrained Customers leaving without being served means that the demand exceeds supply, or that the supermarket is capacity-constrained.

Capacity is constrained when __________ exceeds __________ and the flow rate is equal to __________. demand, supply, process capacity demand, supply, demand supply, demand, process capacity supply, demand, demand

demand, supply, process capacity Flow rate is the minimum of demand or process capacity. Capacity is constrained when demand exceeds supply; flow rate is limited to the process capacity.

Process utilization is the ratio between __________ and __________. process capacity, flow time flow time, flow rate flow rate, process capacity process time, process capacity

flow rate, process capacity Process utilization is the ratio between flow rate and process capacity.

utilization of a process

flow rate/ process capacity

utilization of a resource

flow rate/capacity of a resource

The capacity of a nonbottleneck resource is __________ the capacity of the process. The answer depends on the specific process under consideration equal to smaller than larger than

larger than A nonbottleneck resource has a higher capacity than the bottleneck of the process.

The capacity of a resource determines the __________ number of flow units that can flow through that resource per unit of time. average minimum maximum medium

maximum

The process capacity determines the __________ a process can provide per unit of time. maximum flow time minimum flow rate minimum flow time maximum flow rate

maximum flow rate

flow rate

minimum (demand, process capacity)

Process Capacity

minimum of the capacity of all resources

Capacity of a Resource

number of workers at resource / processing time

The __________ of a resource is how long that particular resource takes to complete one flow unit. flow time flow rate processing time processing rate

processing time

bottleneck

resource w the smallest capacity

processing time

time to carry out all activities for a flow unit at one resource

Inventory is shown as __________ in a process flow diagram. arrows spheres triangles boxes

triangles

Refer to the process flow diagram below. Station 1 is _______ from station 2. bottleneck upstream downstream target

upstream