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 __________ ______ _____ _______ ___ _________ _________ ______ __________ __________.
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A small project is composed of 8 activities where time estimates are listed in the table below:
| Activity | Estimated duration (in days) | ||
| Optimistic | Most likely | Pessimistic | |
| A (1, 2) | 28 | 32 | 36 |
| B (1,3) | 22 | 28 | 32 |
| C (2, 6) | 26 | 36 | 46 |
| D (3, 4) | 14 | 16 | 18 |
| E (3, 5) | 32 | 32 | 32 |
| F (3, 6) | 40 | 52 | 74 |
| G (4, 5) | 12 | 16 | 24 |
| H (5, 6) | 16 | 20 | 26 |
Use the dual simplex method to solve the following L.P.P.
Subject to
An assignment problem can be considered as a special case of transportation problem.
An investment company wants to study the investment proposals based on the profit factor. While analyzing a new investment proposal, the company estimated the probability distribution for the profit as follows:
| Profit (in thousands) | 3 | 5 | 7 | 9 | 10 |
| Probability | 0.1 | 0.2 | 0.4 | 0.2 | 0.1 |
दिया गया है कि इकाइयाँ,
इकाइयाँ,
इकाइयाँ,
इकाइयाँ,
इकाइयाँ और
इकाइयाँ हैं। क्या यह निम्नलिखित परिवहन समस्या का इष्टतम हल है ?
उपलब्ध इकाइयाँ
आवश्यक इकाइयाँ
यदि यह इष्टतम हल नहीं है, तो इसे प्रयोग करके एक बेहतर सुसंगत हल निकालिए।
Listed in the table below are the activities and sequencing requirements necessary for the completion of a project.
| Activity | Predecessor | Duration in weeks |
| A | __ | 6 |
| B | A | 24 |
| C | A | 6 |
| D | A | 12 |
| E | A | 9 |
| F | C,D,E | 18 |
| G | B,F | 12 |
| H | G | 24 |
A petrol station has a single pump and space for not more than 3 cars (2 waiting, 1
being served). Cars arrive according to a Poisson distribution at an average according
to a Poisson distribution at an average rate of 2 per minute. The service time has an
exponential distribution with an average rate of 4 per minute. Answer the following
questions:
i) Find the probability that an arriving car doesn’t have to wait.
ii) Calculate the expected waiting time until a car is served and leaves the petrol
station.