InventorymodelPackage (version 1.0.2)

EPQcoo: EPQcoo

Description

This function calculates the optimal number of orders and the associated cost when agents are cooperating in the EPQ model.

Usage

EPQcoo(n = NA, a = NA, d = NA, h = NA, m = NA, r = NA, s = NA)

Arguments

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.

Value

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.

Examples

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