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In a supermarket called OzuGross, there are 4 checkout points. There are 4 cashiers working in this market: Sinan, Rasim, Ertem and Abdulkerim. They have

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In a supermarket called OzuGross, there are 4 checkout points. There are 4 cashiers working in this market: Sinan, Rasim, Ertem and Abdulkerim. They have flexible working days and the probability that they will work in a day are 80%,75%,60% and 40% respectively. If none of them wants to go to work on the same day, the manager of the market takes place in the checkout point (at least 1 person works everyday). When a customer arrives to the checkout point, s/he takes service from the available slot. If all points are busy, s/he starts to wait in the queue and whenever any of the checkout points gets free, s/he starts to take service. There are 3 types of customers: fast, average and slow. Fast customers buy a few items and it takes 2 mins to get full service. Average customers buy a bit more items and it takes 3 mins to get the service. And slow customers buy a lot of products and it takes 5 mins to get the service. According to the market researches, 20% of the customers are fast, 30% of the customers are average and 50% of the customers are slow. The probability that no customer arrives to the checkout point in a minute is 45%,P ( 1 customer) is 25%,P(2 customers) is 20% and P(3 customers) is 10%. This market opens at 9 am and closes at 5pm. No new customer arrives to the checkout point after 5pm but if there is any customer who is in the queue, the market should continue to give service until the last customer finishes shopping. Assuming that the cashiers don't have any break time, calculate the following in 30 working days using Monte Carlo simulation (on a minute base): - Average number of customers per day - Average number of cashiers per day - Average total waiting time in the queues per day - Average total service time in the checkout points per day - Average total available time per active checkout point in a month - The number of the days that the market manager should work in the checkout point

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