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An assignment problem can be considered as a special case of transportation problem.
In operational research, the assignment problem is indeed closely related to the transportation problem, but it is not merely a special case; rather, it represents a specific application within the broader framework of optimization.
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Related Question
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 | ||
Starting from the solution obtained by North-West Corner method, find an optimal solution and the optimal transportation cost.
An oil engine manufacture purchase lubricants at the rate of 
50 per unit from a vendor. The requirement of these lubricants is 1800 units per year. The cost of placing an order is 40 and inventory carrying cost per rupee per year is only 20 paise. Find the Economic Order Quantity (EOQ). Also find the cycle time.
निम्नलिखित LPP को हल करने के लिए द्वैती एकधा विधि का प्रयोग कीजिए : 5
z = 3x₁ + x₂ का न्यूनतमीकरण कीजिए
जबकि : 5
x₁ + x₂ ≥ 1
2x₁ + 3x₂ ≥ 2
x₁,x₂ ≥ 0.
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?
A sugar manufacture has two production processes. In one hour, Process I makes 100 kg of Grade I (high quality) sugar and also produces 140 kg of Grade II sugar as a byproduct. Process II makes in one hour 60 kg of Grade I (high quality) sugar and also produces as a by-product 40 kg of Grade II sugar. The manufacture is confident that during the festival season all the sugar that is made can be sold. He has committed to selling at least 6000 kg of Grade I and 5600 kg of Grade II for the season. The revenue earned by selling one kilogram of Grade I sugar is ₹ 4 (irrespective of the process used) and the revenue earned by selling one kilogram of Grade II sugar is ₹ 2 (irrespective of the process used). Formulate the problem of maximizing the total revenue earned as an LPP. Solve the problem by graphical-method.
Use the dual simplex method to solve the following L.P.P.
Subject to
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 |
i) Draw a net work diagram for the project.
ii) Find the critical path and the duration for the completion of the project.
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