Obtain an optimal solution for transportation problem
0
Consider Problem 8.1-1
I did (a) and (b).
For (c), should I solve using
1.minimum cost method and then method of multipliers ?
or
2.Vogel method and then method of multipliers ?
Is there an easier way to solve (c) (without using software)?
If so what is it?
optimization operations-research optimal-transport
asked Nov 29 at 21:02
Al t.
4241519
|
show 3 more comments
0
Consider Problem 8.1-1
I did (a) and (b).
For (c), should I solve using
1.minimum cost method and then method of multipliers ?
or
2.Vogel method and then method of multipliers ?
Is there an easier way to solve (c) (without using software)?
If so what is it?
optimization operations-research optimal-transport
asked Nov 29 at 21:02
Al t.
4241519
You can use en.wikipedia.org/wiki/Hungarian_algorithm
– Federico
Nov 29 at 21:07
Alternatively, the transport problem is in particular a linear programming problem, so you can use any algorithm for that
– Federico
Nov 29 at 21:08
I had never heard of Vogel approximation method, but it seems that it doesn't provide an actual solution, just a guess. I don't understand the utility for it. Just use the Hungarian algorithm or any LP solver
– Federico
Nov 29 at 21:12
Look up the Stepping Stone and Modified Distribution Methods (MODI). You can probably find simple examples like yours on Youtube. Vogel's method simply finds an initial feasible solution which may be close enough to optimal or quite often optimal. The Hungarian Method is for assignment problems, a special case of transportation problems.
– Paul
Nov 29 at 21:12
@Federico Vogel approximation method is used to find the basic solution, it's 'better' than minimum cost method according to my instructor.
– Al t.
Nov 29 at 21:16
|
show 3 more comments
0
0
0
Consider Problem 8.1-1
I did (a) and (b).
For (c), should I solve using
1.minimum cost method and then method of multipliers ?
or
2.Vogel method and then method of multipliers ?
Is there an easier way to solve (c) (without using software)?
If so what is it?
optimization operations-research optimal-transport
asked Nov 29 at 21:02
Al t.
4241519
Consider Problem 8.1-1
I did (a) and (b).
For (c), should I solve using
1.minimum cost method and then method of multipliers ?
or
2.Vogel method and then method of multipliers ?
Is there an easier way to solve (c) (without using software)?
If so what is it?
optimization operations-research optimal-transport
optimization operations-research optimal-transport
asked Nov 29 at 21:02
Al t.
4241519
asked Nov 29 at 21:02
Al t.
4241519
asked Nov 29 at 21:02
Al t.
4241519
asked Nov 29 at 21:02
Al t.
4241519
asked Nov 29 at 21:02
Al t.
4241519
4241519
You can use en.wikipedia.org/wiki/Hungarian_algorithm
– Federico
Nov 29 at 21:07
Alternatively, the transport problem is in particular a linear programming problem, so you can use any algorithm for that
– Federico
Nov 29 at 21:08
I had never heard of Vogel approximation method, but it seems that it doesn't provide an actual solution, just a guess. I don't understand the utility for it. Just use the Hungarian algorithm or any LP solver
– Federico
Nov 29 at 21:12
Look up the Stepping Stone and Modified Distribution Methods (MODI). You can probably find simple examples like yours on Youtube. Vogel's method simply finds an initial feasible solution which may be close enough to optimal or quite often optimal. The Hungarian Method is for assignment problems, a special case of transportation problems.
– Paul
Nov 29 at 21:12
@Federico Vogel approximation method is used to find the basic solution, it's 'better' than minimum cost method according to my instructor.
– Al t.
Nov 29 at 21:16
|
show 3 more comments
You can use en.wikipedia.org/wiki/Hungarian_algorithm
– Federico
Nov 29 at 21:07
Alternatively, the transport problem is in particular a linear programming problem, so you can use any algorithm for that
– Federico
Nov 29 at 21:08
I had never heard of Vogel approximation method, but it seems that it doesn't provide an actual solution, just a guess. I don't understand the utility for it. Just use the Hungarian algorithm or any LP solver
– Federico
Nov 29 at 21:12
Look up the Stepping Stone and Modified Distribution Methods (MODI). You can probably find simple examples like yours on Youtube. Vogel's method simply finds an initial feasible solution which may be close enough to optimal or quite often optimal. The Hungarian Method is for assignment problems, a special case of transportation problems.
– Paul
Nov 29 at 21:12
@Federico Vogel approximation method is used to find the basic solution, it's 'better' than minimum cost method according to my instructor.
– Al t.
Nov 29 at 21:16
You can use en.wikipedia.org/wiki/Hungarian_algorithm
– Federico
Nov 29 at 21:07
You can use en.wikipedia.org/wiki/Hungarian_algorithm
– Federico
Nov 29 at 21:07
Alternatively, the transport problem is in particular a linear programming problem, so you can use any algorithm for that
– Federico
Nov 29 at 21:08
Alternatively, the transport problem is in particular a linear programming problem, so you can use any algorithm for that
– Federico
Nov 29 at 21:08
I had never heard of Vogel approximation method, but it seems that it doesn't provide an actual solution, just a guess. I don't understand the utility for it. Just use the Hungarian algorithm or any LP solver
– Federico
Nov 29 at 21:12
I had never heard of Vogel approximation method, but it seems that it doesn't provide an actual solution, just a guess. I don't understand the utility for it. Just use the Hungarian algorithm or any LP solver
– Federico
Nov 29 at 21:12
Look up the Stepping Stone and Modified Distribution Methods (MODI). You can probably find simple examples like yours on Youtube. Vogel's method simply finds an initial feasible solution which may be close enough to optimal or quite often optimal. The Hungarian Method is for assignment problems, a special case of transportation problems.
– Paul
Nov 29 at 21:12
Look up the Stepping Stone and Modified Distribution Methods (MODI). You can probably find simple examples like yours on Youtube. Vogel's method simply finds an initial feasible solution which may be close enough to optimal or quite often optimal. The Hungarian Method is for assignment problems, a special case of transportation problems.
– Paul
Nov 29 at 21:12
@Federico Vogel approximation method is used to find the basic solution, it's 'better' than minimum cost method according to my instructor.
– Al t.
Nov 29 at 21:16
@Federico Vogel approximation method is used to find the basic solution, it's 'better' than minimum cost method according to my instructor.
– Al t.
Nov 29 at 21:16
|
show 3 more comments
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You can use en.wikipedia.org/wiki/Hungarian_algorithm
– Federico
Nov 29 at 21:07
Alternatively, the transport problem is in particular a linear programming problem, so you can use any algorithm for that
– Federico
Nov 29 at 21:08
I had never heard of Vogel approximation method, but it seems that it doesn't provide an actual solution, just a guess. I don't understand the utility for it. Just use the Hungarian algorithm or any LP solver
– Federico
Nov 29 at 21:12
Look up the Stepping Stone and Modified Distribution Methods (MODI). You can probably find simple examples like yours on Youtube. Vogel's method simply finds an initial feasible solution which may be close enough to optimal or quite often optimal. The Hungarian Method is for assignment problems, a special case of transportation problems.
– Paul
Nov 29 at 21:12
@Federico Vogel approximation method is used to find the basic solution, it's 'better' than minimum cost method according to my instructor.
– Al t.
Nov 29 at 21:16