inventorygames {Inventorymodel}

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"))

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.

Value

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

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