了解如何提升工作效率和提高质量标准，学会分析和改善服务业或制造业商务流程。主要概念包括流程分析、瓶颈、流程速率和库存量等。成功完成本课程后，您可以运用所学技能处理现实商务挑战，这也是沃顿商学院商务基础专项课程的组成部分。

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From the course by University of Pennsylvania

运营管理概论（中文版）

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了解如何提升工作效率和提高质量标准，学会分析和改善服务业或制造业商务流程。主要概念包括流程分析、瓶颈、流程速率和库存量等。成功完成本课程后，您可以运用所学技能处理现实商务挑战，这也是沃顿商学院商务基础专项课程的组成部分。

From the lesson

第 3 单元 - 生产率

您将在本模块中学习生产力的主要构成。首先，课程将介绍生产力的学术定义，然后介绍常见阻碍生产力的因素、生产力的测量方法、效益指标、改进生产力技巧和经济价值。本模块教学结束后，您将掌握如何识别、描述和测量输入和输出之间的关系，您还将能够设计策略，减少输入和提高输出，从而提高生产率。

- Christian TerwieschAndrew M. Heller Professor at the Wharton School, Senior Fellow Leonard Davis Institute for Health Economics Co-Director, Mack Institute of Innovation Management

The Wharton School

Let's review the questions of the productivity module in the same way we did

for process analysis. I will share with you a couple of practice

problems, and you'll take a shot at these problems on your own.

For that, after I explain the question to you, just pause the video, take some time

to wrestle with the question, and then restart the video to hear the rest of the

question explained by me. Ready?

All right. Here's the Tom and Jerry ice cream store

question. Tom and Jerry run an ice cream store, and

they have an expensive piece of equipment. Since they are currently running at

capacity, they consider buying another piece of the same equipment.

However, they consider doing an OEE analysis.

They find that not all of the capacity is used productively, and so they use a

couple of calculations to figure out what's the real percentage of value at

time going on here on their ice cream maker?

Alright, here's a good moment for you to pause the video.

I'll give you some time and then, I show you the solution.

All right. Now, it's my turn.

Let me crunch the question step by step. The first part of the question asks me,

how many good batches of ice cream will there be produced per day?

To figure that out, recall that we have basically twelve hours available for

production. Of that, one hour is lost due to the

start-up effect. Pardon my bad humor here, this is the

funniest I could come up with. So, eleven hours are available for

production. Eleven hours really means 660 minutes per

day. If you think about how long it would take

to produce a batch of ice cream, remember a batch of ice cream takes 80 minutes.

These 80 minutes are twenty minutes in setup, and 60 minutes of actual

production. 80 minutes per batch means that we can

really make eight batches per day. Of this, we know that only three quarters

are good, and one quarter is defective. And so, that means we are producing six

good batches per day. This is real value air time.

We know that it's six batches are justifying really 60 minutes per batch of

production time, and that gives us 360 minutes of productive time per day.

Now, in the last piece of the question, we want to have something brought into the

question that talks about every other Fridays.

So, over two weeks we going to have thirteen days times six batches, six good

batches per day time 60 minutes. So, over thirteen days, we have a total of

4,680 productive value add minutes. How much available time did we have in

that two weeks? Well, the available time is simply

fourteen days times twelve hours a day, times 60 minutes.

That is, according to my calculator, a thousand and, 10,080 minutes.

So, this here, on the very right, is the actual value add time 4,680.

Here's the available time, so we can solve for an OEE of 4,680 divided by 10,080,

which is roughly 60, 46%. Again, you can now start quantifying the

capacity loss effect, for example, of setup times or offset defects here.

And so, that gets a nice water flow chart that makes up for an OEE analysis.

The next question is about linking operational measures with financial

measures. In particular, we're going to have an eye

on productivity measures and how they influence the bottom line of the firm.

Take a look at the question here, before you get to the work, let me point out the

notion of an RIC tree. In class, we talked about an KPI tree.

Kpi stands for Key Performance Indicator, that's a computation that I did for the

Subway case looked at profits as a pretty obvious key performance indicator that an

organization would be interested in. When you do and RIC tree, you start with

the return on invested capital at the root of the tree.

This is simply profits divided by invested capital.

And then, you start the tree by having a profit branch, and an investment capital

branch. From there, you go as discussed in class.

Are you ready? Here you go.

The first part of the question is about how many guests we can serve on an

evening. Now, take a look at the following thought

process. A guest will spend a total of 50 minutes

in the restaurant. Then, ten minutes are needed to clean up

the table. So, the total time in the system for the

guest and the table. So, if you think about the flow time of an

order, is 60 minutes. Apply Little's Law, I = R T.

And you know that the restaurant is always full.

Always full means that, there are always 50 orders in the system, and then R times

T, and T is really a quarter of an evening.

So, if you look at guests per evening, you can solve for R and see 200 guests.

You don't really need to do a little [unknown] to find this, you can also think

about the intuition that each table is turned four times per day.

So, the table turns are four times per day, there are 50 tables, hence, there are

200 guests for an evening. To draw the hourly seat, we proceed as

follows. Again, start with the profit branch and

to, to the invest of capital branch. Profits is nothing but revenue minus cost.

And revenue is nothing but the revenue per guest times the number of guests per

night. The number of guests per night are simply

the number of seats that we have available, fifty as we just saw times by

the speed with which we turn the seats. This, in turn, is driven really then by

the time that the guest in the seat or at the table plus the ten minute of cleaning

time. On the cost side, we have really multiple

brackets of cost. We have some overhead cost, we have some

cost for the labor, and we have some variable cost.

The variable costs are largely reflected in the food, and those are simply the

number of guests times the amount of dollars that we spend per guest on food

related expenses. This gives you in a nutshell, how these

variables play together deriving the ROIC. I now turn to Excel and actually run the

numbers. Alright.

Let's start with the revenue calculations. We begin by looking at the revenue that we

get per guest, twenty bucks. Then, we have the time that the guest is

on the seat plus the cleaning time, which we said by now is 60 minutes.

That allows us, return the table, 240 minutes divided by 60, equals to four

times. Since, we have a number of seats equal to

50, we can get revenue so we can get, excuse me, number of guests first per

night is simply, so, turns times the number of seat, and there's just 200

guests per night. Next, we'll look at our total revenues.

That's simply the 200 guests that we served times $twenty per guest equals to

$4,000 revenue per evening. Next, on the cost side, we look at the

labor costs first. For the labor costs, we have twenty

employees taking home 90 bucks per evening.

On the overhead slide, that is simple, it's a flat 1,000.

And, on the variable cost for the food, we'll have to now look at the guests that

we serve, 200, and multiply this with $5.50.

So, our total cost is simply these three numbers added up, and then I get profits

of revenue minus cost equals $100. Here, we have to be very careful simply

because this is the profit per evening. If I want to compute a return on

investment capital, returns have to be recomputed on an annual basis.

And so, my profits for a year was simply 365 times my profits per evening.

That gives me, then, excuse me, for a year, that then gives me my ROIC.

As the ratio between the profits that I have here, and the investment capital that

I just squeezed in here. That is 18.25%.

Now, the reward of all this tricky calculation is that a sensitivity analysis

as quite simple. For example, the question of roots to the

case that I could shorten the time of the seat to 55 minutes by accelerating the

cleaning process. I just type this in, all the numbers we

compute, and we see this dramatic increase in ROIC.

Though, I admit, this is based on the assumption that there is really an

infinite amount of demand that, particularly, we can squeeze these extra

customers in. But, again, don't be too cautious on the

assumptions here because we're assuming that with unlimited demand, that average

time, it doesn't really mean that there's always four customers being served per

seat per night. Some will stay shorter, some stay longer.

And, as long as there's an infinite demand, we'll always get the extra guests

through the system. Anyway, you see now, draw the ROIC tree,

compute the ROIC, and then do the sensitivity analysis.

Alright. The last question is a line balancing

question. You see that there are six tasks given to

you, and a current assignment of tasks to workers.

Your job is to balance the line. In the second part of the question, you

were supposed to compute the takt time, and the target manpower calculation.

Now, a word of caution as we start the optimization here to maximize capacity

given these four workers. Besides that in class, there is a way of

mathematically formalizing a fancy mathematical optimization problem.

But, this is really overshooting it. With the numbers as small as they are

here, it's a process of trial and error. You have to just try out different

assignment combinations to see if you can further increase the capacity.

Good luck. Alright.

We have a shot here at this problem. Really, we're dealing with the process

that consists of the four resources, namely, the four workers.

The first resource is just working on task one, which gives it a processing time of

30 seconds per unit. 25 for the second worker.

And then, here, we combine three and four. So, 75 seconds per unit at station three.

And, for work number four, we have, 45 seconds per unit.

So, we've done this often enough by now in class, that we can quickly see that one

over 75, and this is now units per second, is going to be the bottleneck, and thus

this is the capacity of the current line. So, this is, again, one over 75 times

3,600 seconds in a hour. Now, let's assume the tasks are allocated

differently. You want to balance the line.

And clearly, this doesn't look like a really balanced line because there's a big

difference between the fellow working here, and the fellow working here.

So, let's see how good we can do. Now imagine, the first person here would

work on task one and task two. They would give us a 55 second processing

time. Then, the next person will just work on

this one here, 35 seconds for the next one, 40 on the next one, and then, 45 for

the third step. This will give me an activity time or

processing time at the bottleneck of 55 seconds.

How did I come up with that solution? Don't ask me.

This is a little bit of iteration, a little bit of trial and error.

I started with 30, but I doubted that I could get all the way down to a processing

time of a bottleneck of 30. Then, I tried 30 plus 25, and went from

there onward. Could I combine activities such as the

processing time at the bottleneck is 55? Yes, I could.

Again, this is trial and error as long as you don't learn mathematical programming

which could do this assignment optimally for you.

With this in mind, we have a activity time at the bottleneck of one of 55, and that's

the capacity of the bottleneck of one over five, 55 units per second.

The third question is equally tricky. In the third question, you can assume that

you can reshuffle these tasks. Now, typically, when you do these, you'd,

since you're gaining a degree of flexibility, you would be able to squeeze

down the processing time at the bottleneck further.

However, I couldn't find a combinations of activity times such that the 55 seconds

were beaten. Just try it yourself.

So, maybe you want to combine 30 and fifteen, it gives you a 45 per, per

seconds per unit activity time at the bottleneck.

Then, you could try a 55 up here, that makes it longer.

Try it yourself. I couldn't come up with anything faster.

So far, we have looked at the effect of capacity only.

We have maximized capacity. Now, we have some information about

demand. Demand here is 50 units per hour.

Since there are 3600 seconds in an hour, and we want to have 50 units, we have a 72

second between units takt time. I can quickly compute the labor content of

the process, it's simply the sum of these individual processing time and get the

labor content of 175 seconds per unit. My target manpower is then simply, these

175 seconds of work divided by the takt time of 72, which is 2.43 people.

Round this up, and you see that you should hire three workers.

Now, the last question is going to be tricky.

As we go from the target manpower to the actual staffing level, we have to, once

again, tackle the problem of assigning workers to tasks.

Let's take a look at this together. Now, here are the processing times.

They work, excuse me, I didn't want to log us out here.

30 seconds for the first, 25 seconds for the second, 35 for the fifteen and 30

seconds per unit, respectively. Let's first consider the case where we can

do the task in any order that we want. Remember, our takt time was 72 seconds.

So, I want to create bundles of tasks that are very close to 72 seconds.

I'll combine 40 and 30, that gives me 70 seconds that the worker would just have

two seconds idle time. Remember, we want to hire n = three

workers, that we know by our target manpower calculation.

That's the best we can do. Well, then, from here onwards, it's easy.

Fifteen plus 35 already gives me another 50 seconds.

I combine the first, and that gives me with n equals three workers gives me the

process staffing that I need. It's somewhat tricky, unfortunately, if I

want to keep the sequence of tasks as they were described in the questions.

Again, let's write them all down. And, let's remember that once again, we

are after a takt time of 72. So, if I combine the first two, I'm going

to get back to my assignment of 55 seconds of the cycle time, or of the processing at

the bottleneck which we saw previously that was not enough to get me down to n =

three, I have n = four. However, if I include all of these three

tasks, to [inaudible] the first worker, I'm over the 72 seconds takt time.

So, that means, first worker really has to have these two tasks assigned to them.

Same logic on the next step. If I combine tasks three and four, I'm

over my takt time, and so, that doesn't work.

And so, I have to unfortunately, hire them.

Let's just hire 35 seconds here. Then, the next person would be staffed

this way, and then the next station this way.

So, unless I can break up the tasks further and move seconds from one task to

the other. Unfortunately, in that case, I will need

four workers.

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