In the inventory model with finite replenishment rate, if the replenishment rate is equal to consumption rate, the holding cost is 0.
In inventory models with finite replenishment rates, holding cost refers to the cost associated with storing or holding inventory over a certain period. When the replenishment rate equals the consumption rate, it implies that the rate at which items ____ _______ ________ ___ _________ _______.
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In a factory there are 6 jobs to be processed on two Machines A and B. The processing times are given in the table below. The jobs are first processed on Machine A and then on Machine B. Find the optimal job sequence and the minimum elapsed time.
| Job: | ||||||
| Machine A: | 1 | 3 | 8 | 5 | 6 | 3 |
| Machine B: | 5 | 6 | 3 | 2 | 2 | 10 |
निम्नलिखित LPP को हल करने के लिए द्वि-विमीय विधि का प्रयोग कीजिए: 5
z = 3x₁ + 2x₂ का अधिकतमीकरण कीजिए
जबकि :
2x₁ + x₂ ≤ 2
3x₁ + 4x₂ ≥ 12
x₁,x₂ ≥ 0.
For the following transportation problem, find an initial basic feasible solution by North-West Corner method.
| Factory | Ware house | Availability | |||
| 16 | 20 | 12 | 200 | ||
| 14 | 8 | 18 | 160 | ||
| 26 | 24 | 16 | 90 | ||
| Demand | 180 | 120 | 150 | ||
Solve the following cost minimizing assignment problem.
(क) एक फर्म तीन उत्पाद A, B और C बनाती है। यह दो प्रकार I एवं II का कच्चा माल प्रयोग करती है जिसकी क्रमशः 5000 और 7500 इकाइयाँ उपलब्ध हैं। प्रत्येक उत्पाद की इकाइयों के लिए आवश्यक कच्चा माल नीचे दिया गया है :
| कच्चा माल | उत्पाद की प्रति इकाई आवश्यकता | ||
|---|---|---|---|
| A | B | C | |
| I | 3 | 4 | 5 |
| II | 5 | 3 | 5 |
Customers come to a coffee shop at the average rate of 32 per day (8 hours a day) in Poisson pattern. The waiter employed to serve the customers has left the job. The owner of the shop wants to hire a new the job. The owner of the shop wants to hire a new waiter. Two applicants, Abdul and Raju, have applied for the post. The service times of Abdul and Raju are exponentially distributed with mean 12 minutes and 10 minutes, respectively. Abdul and Raju demand salaries of ₹ 135 and ₹ 165 per day, respectively. If no service is available, the average loss to the owner is ₹ 400 per day. Who among the two should be selected for the job?
The time taken by a TV repair person to repair a TV set is exponentially distributed with mean 30 minutes. She repairs the sets in the order in which they come in. The arrival rate of the sets is approximately Poisson with an average rate of 10 per 8 hours day. Answer the following questions: (5)
i) What is the repair person’s expected idle time each day?
ii) How many jobs are ahead of the arriving set just brought in?
iii) What is probability that there are 2 or more sets in the system?