Inventorymodel (version 1.1.0.1)

inventorygames: Inventorygames

Description

Generic function to show the associated cost game to a EOQ or EPQ model.

Usage

inventorygames(n = NA, a = NA, d = NA, h = NA, m = NA, r = NA, b = NA, 
model = c("EOQ", "EPQ"))

Value

The characteristic function of the associated cost game is calculated to model EOQ or EPQ.

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.

b

Vector. Cost of a shortage to each agent.

model

Model to be selected. EOQ and EPQ models can be considered.

Examples

inventorygames(n=3,a=600,d=c(500,300,400),h=c(9.6,11,10),model="EOQ")
#EOQ model
#Cooperative case
#Optimal order
#    Coalition        1        2        3 Coalitional costs
#1           0   0.0000   0.0000   0.0000             0.000
#2     '{ 1 }' 250.0000   0.0000   0.0000          2400.000
#3     '{ 2 }'   0.0000 180.9068   0.0000          1989.975
#4     '{ 3 }'   0.0000   0.0000 219.0890          2190.890
#5   '{ 1,2 }' 192.4501 115.4701   0.0000          3117.691
#6   '{ 1,3 }' 184.6372   0.0000 147.7098          3249.615
#7   '{ 2,3 }'   0.0000 121.6327 162.1770          2959.730
#8 '{ 1,2,3 }' 157.4592  94.4755 125.9673          3810.512