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**Network and System Design**

Chapter 3 Network and System Design

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**Capacity Implications**

Linked supply chain organizations need to match capacities to avoid bottlenecks Common measures: Design Capacity - maximum output rate that can be achieved, i.e. maximum capacity A theoretical number Effective (or available) Capacity - maximum output rate that can be sustained under normal conditions Actual Capacity which contains planned and unplanned losses. Actual output Design Capacity Effective Capacity Planned loss Planned loss Unplanned loss

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**Capacity Utilization Calculation: Efficiency = Utilization =**

Capacity utilization indicates how much of capacity is actually being used Calculation: Efficient: The efficient use of the resources: Actual output Effective Capacity Efficiency = (100%) Capacity Utilization: The measure of how much of the available capacity is used Actual output Design Capacity Utilization = (100%)

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**Capacity Utilization Example 2**

A factory produces the following 3 types of computers with the following assembling times: (α) laptop: 4 min, (b) netbook: 3 min, and (c) tablet PC: 5 min. In the next 3 months, the available assembling time is minutes and demand follows the relationship (α):(b):(c) = 3:4:1. Calculate the number of computers produced. Answer (α):(b):(c) = [3x4] + [4x3] + [1x5] = = 29 mins. Therefore the number of computers produced: 31900/29 = 1100 computers per 3 months

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**Capacity Utilization Example 3**

Imagine you are managing a group of 10 electricians. They undertake in-home servicing of electrical systems, and are called by telephone for either emergency or pre-arranged visits. They charge a minimum call-out fee that covers the ﬁrst 15 minutes of their visit plus travelling time. Beyond the ﬁrst 15 minutes they charge in blocks of 15 minutes, plus the cost of any materials that they need to complete the job. The average call-out takes 1 hour. The electricians are usually available for eight hours a day but, with two coffee breaks of 15 minutes each and a half-hour lunch break, they actually work a seven-hour day. Taking time off and illness into account, the electricians’ available time reduces by 20%. This means the seven-hour day is reduced to a day of 5 hours 36 minutes (i.e. 5.6 hours) Problem: If actual work is only 200 billed hours in the week then: (a) What is the capacity utilization of the team? (b) What is their efﬁciency?

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**Capacity Utilization Example 3**

Approach: First you need to calculate (a) the design capacity and (b) the effective capacity. Then use the actual output given above to calculate the capacity utilization and efﬁciency. 10 workers × 7 hours per day Design capacity = × 5 days of a working week 1 hour per customer = 350 customers per week 10 workers × 5.6 hour day Effective capacity = × 5 days of a working week 1 hour per customer call-out = 280 customers per week If actual work is only 200 billed hours in the week, then what is the capacity utilization of the team? Utilization = {[Actual output 200] / [Design capacity 350] } × 100 = 57% (b) If actual work is only 200 billed hours in the week, then what is their efﬁciency? Efﬁciency = {[Actual output 200] / [Effective capacity 280]} × 100 = 71%

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PROBLEMS Shex Hotel can accommodate 300 guests in a single day under maximum conditions. However, under normal conditions this hotel is designed to accommodate 200 guests per day. In September, the hotel accommodated 150 guests in one day. What is the hotel’s capacity efficiency & utilization? Utilization effective = 150 guests / 200 = .75 x 100% = 75% Utilization design = 150 guests / 300 = .5 x 100% = 50% Leopard Transportation company is designed to process 80 orders per day but can process as many as 100 orders per day under extreme conditions. For the past month, it has processed 90 orders per day. What is the company’s capacity efficiency & utilization? What comments can you make regarding its processing rates? Can the company maintain this? Utilization effective = 90 orders / 80 = x 100% = 112.5% Utilization design = 90 orders / 100 = .9 x 100% = 90% The company would not be able to sustain this utilization without existing and additional constraints increasing within the system. They will need to apply specific focus on managing the constraints. Papi Toys can produce 500 toys in a single day under maximum conditions. However, it is designed to produce 400 units per day under normal conditions. In February, it produced 480 units per day. What was Papi Toys’ capacity utilization for both design and effective capacity? What do these numbers tell you? Utilization effective = 480 orders / 400 = 1.2 x 100% = 120% Utilization design = 480 orders / 500 = .96 x 100% = 96% The current output of the warehouse is higher than effective capacity. Papi toys would only be able to operate at this level for only a short period of time. Constraints would need to be managed closely.

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