Description Usage Arguments Value Examples
This function calculates the optimal number of orders and the associated cost when agents are cooperating in the EPQ model.
1 |
n |
Number of agents in the inventory model. |
a |
The fixed cost per order. |
d |
Vector. Deterministic demands per time unit to each agent. |
h |
Vector. Holding costs to each agent. |
m |
Vector. Number of orders to each agent (optional). |
r |
Vector. Replacement rate to each agent. In general, r>d. |
s |
Vector. Cost of a shortage to each agent. |
A list with the following components:
Optimal order
A matrix with all possible coalitions in the first column. The next n columns contain the associated cost to each agent in the coalition. Last column indicates the global cost of the optimal order.
Optimal shortages
A matrix, for each coalition (row), contains in the column i the allowed optimal shortages.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 | EPQcoo(n=3,a=600,d=c(500,300,400),h=c(9.6,11,10),r=rep(600,3),s=c(100,150,200))
#$"Optimal order"
# 1 2 3 Costs
# 0.0000 0.0000 0.0000 0.0000
# 641.0928 0.0000 0.0000 935.9019
# 0.0000 265.0557 0.0000 1358.2049
# 0.0000 0.0000 388.8444 1234.4268
# 363.7611 218.2567 0.0000 1649.4341
# 387.3208 0.0000 309.8566 1549.1036
# 0.0000 196.1473 261.5297 1835.3556
# 291.2332 174.7399 232.9866 2060.2045
#
#$"Optimal shortages"
# 1 2 3
# 0.000000 0.000000 0.000000
# 9.359019 0.000000 0.000000
# 0.000000 9.054699 0.000000
# 0.000000 0.000000 6.172134
# 5.310381 7.455973 0.000000
# 5.654318 0.000000 4.918359
# 0.000000 6.700683 4.151265
# 4.251580 5.969377 3.698200
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