4.1. Optimal Conditions for Scraper Use

Now let us consider the economics of going for 5 scrapers. So, 5 in the sense you are going to use lesser than what is needed, you are assuming 5 that means you are going to use the number of scrapers lesser than what is needed. So, when the number of scrapers are lesser than the balanced number so obviously scrapers are more critical, but a pusher will have the ideal time. Your pusher will wait for the scraper.

This section discusses the scenario where only 5 scrapers are used when more are needed. In this case, the scrapers are in short supply, leading to the scrapers becoming a critical factor in production. The pusher, a machine designed to help move the scraper, will end up waiting for the scraper to operate, resulting in underutilization of its capacity. Essentially, if there are not enough scrapers, the work will be limited by their availability, even though the pusher can operate efficiently.

Imagine a scenario in a bakery where there are only a few ovens (scrapers) available to bake bread (produce output). If a baker has more dough than they can bake at once, the bakers (pushers) waiting by the oven will have to wait for the oven to be free after each batch. This results in wasted time for the bakers, illustrating how critical the limited ovens are for the overall production process.

So, here the scraper will be controlling the production as a scraper is a lesser in number, but the pusher will have the ideal time. So, now, let us see the productivity this case of n equal to 5 scrapers. How to estimate the production of this scraper? The volume of your bowl volume per load, you know the value of 19.82 bank cubic meter. Production (Scraper controlling) min Efficiency, hr = ×no. of scrapers ×vol. per load Cycle time of scraper, min 50 min/hr = ×5 ×19.82 bcm = 636.89 bcm/hr.

In this chunk, the focus is on estimating the production capacity when using 5 scrapers. The formula for calculating the production is based on the number of scrapers, the volume that each scraper can hold per load, and the cycle time for how long each scraper takes to complete a load. The calculation reveals that the productivity results in 636.89 bank cubic meters per hour. This means that with the available scrapers, this is the maximum output they can achieve given the current working conditions.

Think of this scenario like a small factory with only 5 machines to fill bottles. Each machine can fill one bottle with 19.82 liters in a set time. If they can only fill for 50 minutes every hour due to downtime, the calculations show that all machines together can produce 636.89 liters every hour. If the factory needs more production, it requires more machines to be efficient.

If n is greater than the balance number that means you are going to use more number of scrapers, then what is indicated by the balance number. In this case, scrapers will have the ideal time. Scrapers are not critical. So, the scraper will be waiting for the pusher. Pusher is critical here. So, unless the pusher is available, I cannot complete the job. So, in this case pusher will be controlling the production.

Here, the document describes the scenario when more scrapers than needed are utilized. In such cases, the scrapers are not the limiting factor, and instead, the pusher becomes critical to production. If the pusher isn't available, the scrapers will idle and not be able to complete their tasks. It's crucial to have a balance of both machines to optimize production.

Imagine a restaurant with too many chefs (scrapers) and not enough waiters (pushers). If the chefs are busy preparing dishes but no waiters are available to deliver the food, the serving process slows down. Thus, while the chefs can cook quicker, the overall dining experience is hampered by the lack of waiters, just as scrapers need pushers to function effectively.

Similarly, let us estimate for 6 number of scrapers. Production (Pusher controlling) = ×vol. per load Cycle time of pusher, min 50 min/hr = ×19.82 bcm = 723.36 bcm/hr.

This section calculates the production for 6 scrapers. The key point is that when the number of scrapers exceeds the balance number, the pusher’s cycle time and efficiency determine production capacity. With 6 scrapers, the production estimated is 723.36 bank cubic meters per hour, which indicates improved efficiency compared to using fewer scrapers.

Returning to our factory analogy, if you increase the number of machines from 5 to 6, your bottle-filling rate increases because there are enough workers to handle the output effectively. This ensures that all machines are fully utilized without bottlenecks, hence optimizing the overall production flow.

In that case, people prefer to go for the combination which gives you higher productivity, but very often we see that people are more concerned about the cost only. So, people prefer for the combination which gives them minimum production cost.

The final part addresses the balance between productivity and cost. While higher productivity is desirable, many operators prioritize minimizing production costs when making decisions on the number of scrapers and pushers to employ. Evaluating the cost-benefit analysis of different combinations is crucial for achieving a balance that satisfies financial constraints while also meeting productivity needs.

Consider budgeting for a new project. While you may want the latest and most efficient equipment for the job (high productivity), constraints on spending might force you to select less expensive options that don’t perform as well. It's about striking the right balance to achieve desired outcomes without overspending.

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